138637977034752
138,637,977,034,752 is an even composite number composed of five prime numbers multiplied together.
138637977034752 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138637977034752:
213 × 39 × 13 × 19 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 59 × 59)See below for interesting mathematical facts about the number 138637977034752 from the Numbermatics database.
Names of 138637977034752
- Cardinal: 138637977034752 can be written as One hundred thirty-eight trillion, six hundred thirty-seven billion, nine hundred seventy-seven million, thirty-four thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38637977034752 × 1014
Factors of 138637977034752
Divisors of 138637977034752
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 59 64 72 76 78 81 96 104 108 114 117 118 128 144 152 156 162 171 177 192 208 216 228 234 236 243 247 256 288 304 312 324 342 351 354 384 416 432 456 468 472 486 494 512 513 531 576 608 624 648 684 702 708 729 741 767 768 832 864 912 936 944 972 988 1024 1026 1053 1062 1121 1152 1216 1248 1296 1368 1404 1416 1458 1482 1534 1536 1539 1593 1664 1728 1824 1872 1888 1944 1976 2048 2052 2106 2124 2187 2223 2242 2301 2304 2432 2496 2592 2736 2808 2832 2916 2964 3068 3072 3078 3159 3186 3328 3363 3456 3481 3648 3744 3776 3888 3952 4096 4104 4212 4248 4374 4446 4484 4602 4608 4617 4779 4864 4992 5184 5472 5616 5664 5832 5928 6136 6144 6156 6318 6372 6561 6656 6669 6726 6903 6912 6962 7296 7488 7552 7776 7904 8192 8208 8424 8496 8748 8892 8968 9204 9216 9234 9477 9558 9728 9984 10089 10368 10443 10944 11232 11328 11664 11856 12272 12288 12312 12636 12744 13122 13312 13338 13452 13806 13824 13851 13924 14337 14573 14592 14976 15104 15552 15808 16416 16848 16992 17496 17784 17936 18408 18432 18468 18954 19116 19456 19683 19968 20007 20178 20709 20736 20886 21888 22464 22656 23328 23712 24544 24576 24624 25272 25488 26244 26624 26676 26904 27612 27648 27702 27848 28431 28674 29146 29184 29952 30208 30267 31104 31329 31616 32832 33696 33984 34992 35568 35872 36816 36864 36936 37908 38232 38912 39366 39936 40014 40356 41418 41472 41553 41772 43011 43719 43776 44928 45253 45312 46656 47424 49088 49248 50544 50976 52488 53248 53352 53808 55224 55296 55404 55696 56862 57348 58292 58368 59904 60021 60416 60534 62127 62208 62658 63232 65664 66139 67392 67968 69984 71136 71744 73632 73728 73872 75816 76464 77824 78732 79872 80028 80712 82836 82944 83106 83544 85293 86022 87438 87552 89856 90506 90624 90801 93312 93987 94848 98176 98496 101088 101952 104976 106496 106704 107616 110448 110592 110808 111392 113724 114696 116584 116736 119808 120042 120832 121068 124254 124416 124659 125316 126464 129033 131157 131328 132278 134784 135759 135936 139968 142272 143488 147264 147744 151632 152928 155648 157464 159744 160056 161424 165672 165888 166212 167088 170586 172044 174876 175104 179712 180063 181012 181248 181602 186381 186624 187974 189696 196352 196992 198417 202176 203904 209952 213408 215232 220896 221184 221616 222784 227448 229392 233168 233472 239616 240084 241664 242136 248508 248832 249318 250632 252928 255879 258066 262314 262656 264556 269568 271518 271872 272403 279936 281961 284544 286976 294528 295488 303264 305856 314928 319488 320112 322848 331344 331776 332424 334176 341172 344088 349752 350208 359424 360126 362024 362496 363204 372762 373248 373977 375948 379392 387099 392704 393471 393984 396834 404352 407277 407808 419904 426816 430464 441792 443232 445568 454896 458784 466336 466944 479232 480168 483328 484272 497016 497664 498636 501264 505856 511758 516132 524628 525312 529112 539136 540189 543036 543744 544806 559143 559872 563922 569088 573952 589056 590976 595251 606528 611712 629856 640224 645696 662688 663552 664848 668352 682344 688176 699504 700416 718848 720252 724048 724992 726408 745524 746496 747954 751896 758784 774198 785408 786942 787968 793668 808704 814554 815616 817209 839808 845883 853632 859807 860928 883584 886464 891136 909792 917568 932672 958464 960336 968544 994032 995328 997272 1002528 1011712 1023516 1032264 1049256 1050624 1058224 1078272 1080378 1086072 1087488 1089612 1118286 1119744 1127844 1138176 1147904 1161297 1178112 1180413 1181952 1190502 1213056 1221831 1223424 1259712 1280448 1291392 1325376 1329696 1336704 1364688 1376352 1399008 1400832 1437696 1440504 1448096 1449984 1452816 1491048 1492992 1495908 1503792 1517568 1548396 1570816 1573884 1575936 1587336 1617408 1620567 1629108 1631232 1634418 1677429 1679616 1691766 1707264 1719614 1721856 1767168 1772928 1782272 1785753 1819584 1835136 1865344 1920672 1937088 1988064 1990656 1994544 2005056 2023424 2047032 2064528 2098512 2101248 2116448 2156544 2160756 2172144 2174976 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53747712 54136512 54632448 55027648 56549376 56659824 56733696 57144096 58226688 58647888 58724352 58839048 59691008 60387444 60903576 61461504 61906104 61986816 63618048 63742302 63825408 64161792 64287108 65505024 65978874 66064896 67152384 67726336 68516523 69144192 69508608 69644367 69735168 71570304 72182016 74323008 75546432 76192128 77635584 77787216 78197184 78452064 80516592 80621568 81204768 81948672 82541472 82649088 84824064 84989736 85100544 85549056 85716144 87340032 87971832 88086528 88258572 89536512 91355364 92192256 92678144 92859156 92980224 95427072 95613453 95738112 96242688 96430662 98968311 99097344 100728576 101589504 103716288 104262912 104602752 107355456 108273024 110055296 113319648 113467392 114288192 116453376 117295776 117448704 117678096 119382016 120774888 121807152 122923008 123812208 123973632 127236096 127484604 127650816 128323584 128574216 131010048 131957748 132129792 134304768 135452672 137033046 138288384 139017216 139288734 139470336 143140608 144364032 144645993 148646016 151092864 152384256 155574432 156394368 156904128 161033184 161243136 162409536 163897344 165082944 169648128 169979472 170201088 171432288 174680064 175943664 176173056 176517144 179073024 182710728 184384512 185356288 185718312 185960448 190854144 191226906 191476224 192485376 192861324 197936622 198194688 201457152 203179008 207432576 208525824 208933101 209205504 214710912 216546048 220110592 226639296 228576384 232906752 234591552 235356192 241549776 243614304 245846016 247624416 247947264 254472192 254969208 255301632 256647168 257148432 262020096 263915496 264259584 268609536 270905344 274066092 276576768 278034432 278577468 278940672 286281216 286840359 288728064 289291986 296904933 297292032 302185728 304768512 311148864 312788736 313808256 322066368 324819072 330165888 339958944 340402176 342864576 349360128 351887328 352346112 353034288 358146048 365421456 368769024 370712576 371436624 371920896 381708288 382453812 382952448 384970752 385722648 395873244 396389376 402914304 406358016 414865152 417051648 417866202 418411008 429421824 433092096 433937979 440221184 453278592 457152768 469183104 470712384 483099552 487228608 491692032 495248832 508944384 509938416 510603264 514296864 524040192 527830992 528519168 537219072 541810688 548132184 553153536 556068864 557154936 557881344 572562432 573680718 577456128 578583972 593809866 594584064 604371456 609537024 622297728 625577472 626799303 627616512 644132736 649638144 660331776 679917888 685729152 698720256 703774656 706068576 730842912 737538048 742873248 743841792 763416576 764907624 765904896 769941504 771445296 791746488 792778752 805828608 812716032 829730304 834103296 835732404 836822016 858843648 866184192 867875958 880442368 890714799 906557184 914305536 938366208 941424768 966199104 974457216 990497664 1019876832 1021206528 1028593728 1048080384 1055661984 1057038336 1074438144 1096264368 1106307072 1112137728 1114309872 1115762688 1145124864 1147361436 1154912256 1157167944 1187619732 1189168128 1208742912 1219074048 1244595456 1251154944 1253598606 1255233024 1288265472 1299276288 1301813937 1320663552 1359835776 1371458304 1407549312 1412137152 1461685824 1475076096 1485746496 1526833152 1529815248 1531809792 1542890592 1583492976 1585557504 1611657216 1625432064 1659460608 1668206592 1671464808 1673644032 1717687296 1732368384 1735751916 1760884736 1781429598 1813114368 1828611072 1876732416 1880397909 1882849536 1932398208 1948914432 1980995328 2039753664 2057187456 2096160768 2111323968 2192528736 2212614144 2228619744 2231525376 2290249728 2294722872 2309824512 2314335888 2375239464 2378336256 2417485824 2438148096 2489190912 2502309888 2507197212 2510466048 2576530944 2598552576 2603627874 2641327104 2719671552 2742916608 2815098624 2824274304 2923371648 2971492992 3059630496 3063619584 3085781184 3166985952 3171115008 3223314432 3318921216 3336413184 3342929616 3347288064 3435374592 3464736768 3471503832 3521769472 3562859196 3626228736 3657222144 3753464832 3760795818 3765699072 3864796416 3897828864 3961990656 4079507328 4114374912 4222647936 4385057472 4425228288 4457239488 4580499456 4589445744 4628671776 4750478928 4756672512 4834971648 4876296192 4978381824 5004619776 5014394424 5020932096 5153061888 5197105152 5207255748 5282654208 5439343104 5485833216 5630197248 5641193727 5648548608 5846743296 5942985984 6119260992 6171562368 6333971904 6637842432 6685859232 6694576128 6870749184 6929473536 6943007664 7043538944 7125718392 7252457472 7314444288 7506929664 7521591636 7531398144 7729592832 7795657728 7923981312 8159014656 8228749824 8445295872 8770114944 8914478976 9178891488 9257343552 9500957856 9513345024 9669943296 9956763648 10009239552 10028788848 10041864192 10306123776 10394210304 10414511496 10565308416 10878686208 10971666432 11260394496 11282387454 11297097216 11693486592 11885971968 12238521984 12343124736 12667943808 13275684864 13371718464 13741498368 13886015328 14251436784 14504914944 14628888576 15013859328 15043183272 15062796288 15459185664 15591315456 15847962624 16318029312 16457499648 16890591744 16923581181 17540229888 17828957952 18357782976 18514687104 19001915712 19913527296 20057577696 20083728384 20612247552 20788420608 20829022992 21130616832 21757372416 21943332864 22520788992 22564774908 22594194432 23386973184 23771943936 24477043968 24686249472 25335887616 26743436928 27772030656 28502873568 29009829888 30027718656 30086366544 30125592576 30918371328 31182630912 31695925248 32636058624 32914999296 33781183488 33847162362 35080459776 35657915904 36715565952 37029374208 38003831424 39827054592 40115155392 41224495104 41658045984 43514744832 43886665728 45041577984 45129549816 45188388864 46773946368 47543887872 48954087936 49372498944 50671775232 53486873856 55544061312 57005747136 60172733088 60251185152 61836742656 62365261824 63391850496 65272117248 65829998592 67562366976 67694324724 70160919552 71315831808 73431131904 74058748416 76007662848 80230310784 83316091968 87029489664 90083155968 90259099632 90376777728 93547892736 95087775744 97908175872 98744997888 101343550464 106973747712 111088122624 114011494272 120345466176 123673485312 130544234496 131659997184 135124733952 135388649448 140321839104 142631663616 146862263808 148117496832 152015325696 160460621568 166632183936 180518199264 180753555456 187095785472 190175551488 195816351744 197489995776 202687100928 213947495424 222176245248 228022988544 240690932352 261088468992 270249467904 270777298896 280643678208 285263327232 293724527616 296234993664 304030651392 320921243136 333264367872 361036398528 391632703488 394979991552 405374201856 427894990848 444352490496 456045977088 481381864704 541554597792 561287356416 570526654464 587449055232 592469987328 608061302784 641842486272 666528735744 722072797056 783265406976 810748403712 855789981696 888704980992 912091954176 962763729408 1083109195584 1174898110464 1184939974656 1216122605568 1283684972544 1333057471488 1444145594112 1711579963392 1777409961984 1824183908352 1925527458816 2166218391168 2349796220928 2432245211136 2567369945088 2666114942976 2888291188224 3554819923968 3648367816704 3851054917632 4332436782336 5134739890176 5332229885952 5776582376448 7296735633408 7702109835264 8664873564672 10664459771904 11553164752896 15404219670528 17329747129344 23106329505792 34659494258688 46212659011584 69318988517376 138637977034752
- Sum of all divisors σ(n): 479570638784160
- Sum of proper divisors (its aliquot sum) s(n): 340932661749408
- 138637977034752 is an abundant number, because the sum of its proper divisors (340932661749408) is greater than itself. Its abundance is 202294684714656
Bases of 138637977034752
- Binary: 111111000010111001010110101111110100000000000002
- Hexadecimal: 0x7E172B5FA000
- Base-36: 1D55EO0000
Squares and roots of 138637977034752
- 138637977034752 squared (1386379770347522) is 19220488676288422954615701504
- 138637977034752 cubed (1386379770347523) is 2664689667699985249426658943469222266667008
-
The
square root of 138637977034752 is 11774462.9191633195 -
The
cube root of 138637977034752 is 51756.0039752777
Scales and comparisons
How big is 138637977034752?- 138,637,977,034,752 seconds is equal to 4,408,258 years, 43 weeks, 2 days, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,637,977,034,752 would take you about eleven million, twenty thousand, six hundred forty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138637977034752 cubic inches would be around 4313 feet tall.
Recreational maths with 138637977034752
- 138637977034752 backwards is 257430779736831
- 138637977034752 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138637977034752's digits is 72
- More coming soon!
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"Number 138637977034752 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138637977034752 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138637977034752/
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The information we have on file for 138637977034752 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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