137381086789632
137,381,086,789,632 is an even composite number composed of four prime numbers multiplied together.
137381086789632 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 137381086789632:
215 × 312 × 73 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 23)See below for interesting mathematical facts about the number 137381086789632 from the Numbermatics database.
Names of 137381086789632
- Cardinal: 137381086789632 can be written as One hundred thirty-seven trillion, three hundred eighty-one billion, eighty-six million, seven hundred eighty-nine thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.37381086789632 × 1014
Factors of 137381086789632
Divisors of 137381086789632
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 64 69 72 81 84 92 96 98 108 112 126 128 138 144 147 161 162 168 184 189 192 196 207 216 224 243 252 256 276 288 294 322 324 336 343 368 378 384 392 414 432 441 448 483 486 504 512 552 567 576 588 621 644 648 672 686 729 736 756 768 784 828 864 882 896 966 972 1008 1024 1029 1104 1127 1134 1152 1176 1242 1288 1296 1323 1344 1372 1449 1458 1472 1512 1536 1568 1656 1701 1728 1764 1792 1863 1932 1944 2016 2048 2058 2187 2208 2254 2268 2304 2352 2484 2576 2592 2646 2688 2744 2898 2916 2944 3024 3072 3087 3136 3312 3381 3402 3456 3528 3584 3726 3864 3888 3969 4032 4096 4116 4347 4374 4416 4508 4536 4608 4704 4968 5103 5152 5184 5292 5376 5488 5589 5796 5832 5888 6048 6144 6174 6272 6561 6624 6762 6804 6912 7056 7168 7452 7728 7776 7889 7938 8064 8192 8232 8694 8748 8832 9016 9072 9216 9261 9408 9936 10143 10206 10304 10368 10584 10752 10976 11178 11592 11664 11776 11907 12096 12288 12348 12544 13041 13122 13248 13524 13608 13824 14112 14336 14904 15309 15456 15552 15778 15876 16128 16384 16464 16767 17388 17496 17664 18032 18144 18432 18522 18816 19683 19872 20286 20412 20608 20736 21168 21504 21952 22356 23184 23328 23552 23667 23814 24192 24576 24696 25088 26082 26244 26496 27048 27216 27648 27783 28224 28672 29808 30429 30618 30912 31104 31556 31752 32256 32768 32928 33534 34776 34992 35328 35721 36064 36288 36864 37044 37632 39123 39366 39744 40572 40824 41216 41472 42336 43008 43904 44712 45927 46368 46656 47104 47334 47628 48384 49152 49392 50176 50301 52164 52488 52992 54096 54432 55296 55566 56448 57344 59049 59616 60858 61236 61824 62208 63112 63504 64512 65856 67068 69552 69984 70656 71001 71442 72128 72576 73728 74088 75264 78246 78732 79488 81144 81648 82432 82944 83349 84672 86016 87808 89424 91287 91854 92736 93312 94208 94668 95256 96768 98304 98784 100352 100602 104328 104976 105984 107163 108192 108864 110592 111132 112896 114688 117369 118098 119232 121716 122472 123648 124416 126224 127008 129024 131712 134136 137781 139104 139968 141312 142002 142884 144256 145152 147456 148176 150528 150903 156492 157464 158976 162288 163296 164864 165888 166698 169344 172032 175616 177147 178848 182574 183708 185472 186624 188416 189336 190512 193536 197568 200704 201204 208656 209952 211968 213003 214326 216384 217728 221184 222264 225792 229376 234738 236196 238464 243432 244944 247296 248832 250047 252448 254016 258048 263424 268272 273861 275562 278208 279936 282624 284004 285768 288512 290304 294912 296352 301056 301806 312984 314928 317952 321489 324576 326592 329728 331776 333396 338688 344064 351232 352107 354294 357696 365148 367416 370944 373248 376832 378672 381024 387072 395136 401408 402408 413343 417312 419904 423936 426006 428652 432768 435456 442368 444528 451584 452709 469476 472392 476928 486864 489888 494592 497664 500094 504896 508032 516096 526848 531441 536544 547722 551124 556416 559872 565248 568008 571536 577024 580608 592704 602112 603612 625968 629856 635904 639009 642978 649152 653184 659456 663552 666792 677376 688128 702464 704214 708588 715392 730296 734832 741888 746496 750141 753664 757344 762048 774144 790272 802816 804816 821583 826686 834624 839808 847872 852012 857304 865536 870912 884736 889056 903168 905418 938952 944784 953856 964467 973728 979776 989184 995328 1000188 1009792 1016064 1032192 1053696 1056321 1062882 1073088 1095444 1102248 1112832 1119744 1130496 1136016 1143072 1154048 1161216 1185408 1204224 1207224 1240029 1251936 1259712 1271808 1278018 1285956 1298304 1306368 1318912 1327104 1333584 1354752 1358127 1404928 1408428 1417176 1430784 1460592 1469664 1483776 1492992 1500282 1514688 1524096 1548288 1580544 1605632 1609632 1643166 1653372 1669248 1679616 1695744 1704024 1714608 1731072 1741824 1778112 1806336 1810836 1877904 1889568 1907712 1917027 1928934 1947456 1959552 1978368 1990656 2000376 2019584 2032128 2064384 2107392 2112642 2125764 2146176 2190888 2204496 2225664 2239488 2250423 2260992 2272032 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512096256 521520768 532385784 540836352 544195584 549421056 552103776 555532992 560867328 564350976 576108288 581640192 585252864 598934007 608440896 618098688 621116748 630975744 634894848 640991232 644972544 648121824 654345216 658409472 682795008 684496008 695361024 709847712 721115136 725594112 729137052 736138368 740710656 747823104 752467968 768144384 775520256 782281152 798578676 811254528 824131584 828155664 833299488 841300992 846526464 864162432 872460288 877879296 910393344 912661344 927148032 931675122 946463616 952342272 961486848 967458816 972182736 981517824 987614208 997097472 1024192512 1043041536 1064771568 1081672704 1088391168 1104207552 1111065984 1121734656 1128701952 1152216576 1163280384 1170505728 1197868014 1216881792 1236197376 1242233496 1261951488 1269789696 1281982464 1296243648 1308690432 1316818944 1365590016 1368992016 1390722048 1397512683 1419695424 1442230272 1451188224 1458274104 1472276736 1481421312 1495646208 1504935936 1536288768 1564562304 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22251552768 22360202928 22715126784 23332385664 23556427776 23702740992 24580620288 25032996864 25554517632 25960144896 26500981248 26665583616 26921631744 27653197824 29205163008 29813603904 30286835712 30474952704 31109847552 31408570368 31603654656 33377329152 33540304392 34072690176 34613526528 35334641664 35554111488 36870930432 38331776448 38940217344 39751471872 40382447616 40633270272 41479796736 43807744512 44503105536 44720405856 45430253568 46664771328 47112855552 47405481984 50065993728 51109035264 51920289792 53001962496 53331167232 55306395648 58410326016 59627207808 60573671424 60949905408 62219695104 62817140736 66754658304 67080608784 68145380352 70669283328 71108222976 73741860864 76663552896 77880434688 79502943744 80764895232 82959593472 87615489024 89440811712 90860507136 93329542656 94225711104 94810963968 100131987456 102218070528 103840579584 106003924992 106662334464 110612791296 116820652032 119254415616 121147342848 121899810816 124439390208 133509316608 134161217568 136290760704 141338566656 142216445952 153327105792 155760869376 159005887488 165919186944 175230978048 178881623424 181721014272 186659085312 188451422208 200263974912 204436141056 212007849984 213324668928 221225582592 233641304064 238508831232 242294685696 248878780416 268322435136 272581521408 282677133312 284432891904 306654211584 311521738752 318011774976 331838373888 350461956096 357763246848 363442028544 373318170624 400527949824 408872282112 424015699968 426649337856 467282608128 477017662464 497757560832 536644870272 545163042816 565354266624 613308423168 636023549952 663676747776 700923912192 715526493696 726884057088 746636341248 817744564224 848031399936 853298675712 934565216256 954035324928 995515121664 1073289740544 1090326085632 1226616846336 1272047099904 1401847824384 1431052987392 1493272682496 1635489128448 1696062799872 1908070649856 1991030243328 2146579481088 2180652171264 2453233692672 2544094199808 2803695648768 2862105974784 2986545364992 3270978256896 3816141299712 4293158962176 4906467385344 5088188399616 5724211949568 5973090729984 6541956513792 7632282599424 8586317924352 9812934770688 11448423899136 15264565198848 17172635848704 19625869541376 22896847798272 34345271697408 45793695596544 68690543394816 137381086789632
- Sum of all divisors σ(n): 501522682896000
- Sum of proper divisors (its aliquot sum) s(n): 364141596106368
- 137381086789632 is an abundant number, because the sum of its proper divisors (364141596106368) is greater than itself. Its abundance is 226760509316736
Bases of 137381086789632
- Binary: 111110011110010100001101110000010000000000000002
- Hexadecimal: 0x7CF286E08000
- Base-36: 1CP4000000
Squares and roots of 137381086789632
- 137381086789632 squared (1373810867896322) is 18873563007500400024222695424
- 137381086789632 cubed (1373810867896323) is 2592870597563000405500696075123365897043968
-
The
square root of 137381086789632 is 11720967.8264907801 -
The
cube root of 137381086789632 is 51599.1224824269
Scales and comparisons
How big is 137381086789632?- 137,381,086,789,632 seconds is equal to 4,368,293 years, 31 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 137,381,086,789,632 would take you about ten million, nine hundred twenty thousand, seven hundred thirty-four 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 137381086789632 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137381086789632
- 137381086789632 backwards is 236987680183731
- 137381086789632 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137381086789632's digits is 72
- More coming soon!
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The information we have on file for 137381086789632 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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