138707448270864
138,707,448,270,864 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138707448270864 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1920 divisors.
138707448270864 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138707448270864:
24 × 3 × 11 × 17 × 19 × 292 × 53 × 71 × 257
(2 × 2 × 2 × 2 × 3 × 11 × 17 × 19 × 29 × 29 × 53 × 71 × 257)See below for interesting mathematical facts about the number 138707448270864 from the Numbermatics database.
Names of 138707448270864
- Cardinal: 138707448270864 can be written as One hundred thirty-eight trillion, seven hundred seven billion, four hundred forty-eight million, two hundred seventy thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38707448270864 × 1014
Factors of 138707448270864
Divisors of 138707448270864
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 19 22 24 29 33 34 38 44 48 51 53 57 58 66 68 71 76 87 88 102 106 114 116 132 136 142 152 159 174 176 187 204 209 212 213 228 232 257 264 272 284 304 318 319 323 348 374 408 418 424 426 456 464 493 514 528 551 561 568 583 627 636 638 646 696 748 771 781 816 836 841 848 852 901 912 957 969 986 1007 1028 1102 1122 1136 1166 1207 1254 1272 1276 1292 1349 1392 1479 1496 1537 1542 1562 1653 1672 1682 1704 1749 1802 1914 1938 1972 2014 2056 2059 2204 2244 2332 2343 2414 2508 2523 2544 2552 2584 2698 2703 2827 2958 2992 3021 3074 3084 3124 3306 3344 3364 3408 3498 3553 3604 3621 3763 3828 3876 3944 4028 4047 4112 4118 4369 4408 4488 4611 4664 4686 4828 4883 5016 5046 5104 5168 5396 5406 5423 5654 5916 6042 6061 6148 6168 6177 6248 6612 6728 6996 7106 7208 7242 7453 7526 7656 7752 7888 8056 8094 8236 8481 8738 8816 8976 9222 9251 9328 9367 9372 9656 9766 9911 10032 10092 10659 10792 10812 10846 11077 11289 11308 11832 12084 12122 12296 12336 12354 12496 13107 13224 13277 13456 13621 13992 14212 14297 14416 14484 14649 14839 14906 15052 15312 15504 15979 16112 16188 16269 16472 16907 16962 17119 17476 18183 18247 18444 18502 18734 18744 19312 19532 19822 20184 21318 21584 21624 21692 22154 22359 22578 22616 22649 22933 23664 24168 24244 24592 24708 26129 26214 26448 26554 27242 27753 27984 28101 28424 28594 28968 29203 29298 29678 29733 29812 30104 31958 32376 32538 32944 33231 33814 33924 34238 34952 35003 36366 36494 36888 37004 37468 37488 39064 39121 39644 39831 40368 40863 41393 42636 42891 43248 43384 44308 44517 44573 44718 45156 45232 45298 45866 47937 48059 48336 48488 49416 50721 51357 52258 52428 53108 53713 54484 54741 55506 56202 56848 57188 57936 58406 58596 59356 59466 59624 59711 60208 63916 63971 64752 65076 66462 67628 67848 67947 68476 68799 69904 70006 71497 72732 72988 73776 74008 74936 78128 78242 78387 79288 79662 81726 81983 82786 83011 85272 85782 86768 87609 88616 89034 89146 89436 90312 90596 91732 95874 96118 96976 98832 101442 102714 103037 104516 104856 105009 106216 107426 108968 109127 109482 111012 112404 114376 116812 117192 117363 118712 118932 119248 119422 124179 126701 127832 127942 130152 132924 133719 135256 135696 135894 136952 137598 140012 141607 142994 144177 145464 145976 148016 149831 149872 156484 156774 157267 158576 159324 161139 163452 163966 165572 166022 170544 171564 175218 175769 177232 178068 178292 178872 179133 180624 181192 183464 188309 191748 191913 192236 200717 202884 205428 206074 209032 209712 210018 212432 214491 214852 216137 217936 218254 218964 222024 224808 228752 231557 233624 234384 234726 237424 237864 238844 245949 248358 249033 252263 253402 255664 255884 258799 260304 265848 267438 270512 271643 271788 273904 275196 280024 283214 285988 287419 288354 290928 291952 299662 309111 310199 312968 313548 314534 318648 321233 322278 326904 327381 327932 331144 332044 343128 346693 350436 351538 356136 356584 357744 358266 362384 366928 376618 380103 383496 383826 384472 385033 395009 401434 405768 410856 412148 418064 420036 424821 428982 429704 430331 432274 436508 437928 444048 449493 449616 463114 467248 469452 471801 475728 477688 490303 491898 496451 496716 498066 504526 506804 511768 517598 527307 529163 531696 534876 543286 543576 550392 560048 564927 566428 571976 574838 576708 599324 602151 618222 620398 625936 627096 629068 637296 642466 644556 648411 653808 654762 655864 656821 662288 664088 665057 686256 693386 694671 700872 703076 703681 712272 713168 716532 753236 756789 757741 760206 766992 767652 768944 770066 776397 786467 790018 802868 811536 814929 821712 824296 840072 846887 849642 857964 859408 860662 862257 864548 873016 875856 898986 913121 926228 930597 938904 943602 955376 963699 967091 980606 983796 992902 993432 996132 1009052 1013608 1015087 1023536 1035196 1040079 1054614 1058326 1069752 1086572 1087152 1100784 1129854 1132856 1134509 1143952 1149676 1153416 1155099 1185027 1198648 1200397 1204302 1215449 1236444 1240796 1254192 1258136 1284932 1289112 1290993 1296822 1309524 1311728 1313642 1328176 1330114 1386772 1389342 1393711 1401744 1406152 1407362 1433064 1470909 1489353 1506472 1513578 1515482 1520412 1535304 1540132 1552794 1557677 1572934 1580036 1587489 1605736 1629858 1648592 1680144 1693774 1699284 1715928 1721324 1724514 1729096 1746032 1797972 1826242 1852456 1855159 1861194 1877808 1887204 1927398 1934182 1961212 1967592 1970463 1985804 1986864 1992264 1995171 2018104 2027216 2030174 2070392 2073413 2080158 2109228 2111043 2116652 2139504 2173144 2259708 2265712 2269018 2273223 2299352 2306832 2310198 2359401 2370054 2377507 2397296 2400794 2407319 2408604 2430898 2472888 2481592 2516272 2540661 2547127 2569864 2578224 2581986 2593644 2619048 2627284 2660228 2739363 2773544 2778684 2787422 2812304 2814724 2846789 2866128 2901273 2941818 2978706 2988073 3012944 3027156 3030964 3040824 3045261 3070608 3080264 3105588 3115354 3145868 3160072 3164683 3174978 3211472 3259716 3387548 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259326364 260877359 262126128 263048752 267982968 271035798 273690516 274926264 278492104 279249004 279398064 281984168 282901488 290372478 291568813 293995664 295466732 296860443 299510376 308502029 308586448 312370393 316735738 317766108 320878536 322327344 322797666 323340952 326507984 330227524 331785201 336547668 337605994 341839298 345529896 351150096 360248208 360773862 361381064 361692034 364920688 368297448 378023613 382763721 387163304 387728231 388989546 389478874 394573128 395813924 400087248 404244038 417738156 418873506 422976252 423688144 424306366 430396888 431797008 435299918 440993496 442380268 443200098 447156336 448730224 462879672 475103607 476775863 481031816 482596656 485011428 489761976 495341286 504031484 506408991 510351628 510624048 512758947 518652728 521754718 532867141 535965936 542071596 542538051 547381032 549852528 556984208 558498008 563968336 580744956 583137626 584218311 590933464 591795721 593720886 599020752 606366057 617004058 624740786 633471476 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15453147089 15733603479 15874049928 16355081744 16841603724 17137070456 17217905694 17584615653 17893117682 18117482794 18430434264 18610955088 19153196392 19243541658 19519764744 19826679284 20616445938 20978137972 22200295818 22455471632 22488237398 22561393668 22885241424 22957207592 23446154204 24532622616 25577622768 25658055544 25705605684 26839676523 27176224191 27488594584 27653000054 28406194608 28729794588 29600394424 29740018926 30081858224 30906294178 31467206958 31748099856 33683207448 33732356097 34274140912 34435811388 35169231306 35786235364 36234965588 36860868528 38306392784 38487083316 39039529488 39653358568 40700542333 41232891876 41479500081 41956275944 44400591636 44976474796 45122787336 45914415184 46359441267 46892308408 49065245232 51316111088 51411211368 53679353046 54352448382 54523368031 54977189168 55306000108 57459589176 59200788848 59480037852 61812588356 62934413916 67366414896 67464712194 68871622776 70338462612 71572470728 72469931176 76974166632 79306717136 81401084666 82465783752 82959000162 83912551888 88801183272 89952949592 90245574672 92718882534 93784616816 99646155367 102822422736 107358706092 108704896764 109046736062 110612000216 114919178352 118960075704 122101626999 123625176712 125868827832 134929424388 137743245552 140676925224 143144941456 144939862352 152091500297 153948333264 162802169332 163570104093 164931567504 165918000324 169984617979 177602366544 179905899184 185437765068 199292310734 214717412184 217409793528 218093472124 221224000432 237920151408 244203253998 247250353424 251737655664 262703500513 269858848776 281353850448 298938466101 304183000594 325604338664 327140208186 331836000648 339969235958 370875530136 398584621468 429434824368 434819587056 436186944248 456274500891 488406507996 509953853937 525407001026 539717697552 597876932202 608366001188 651208677328 654280416372 663672001296 679938471916 741751060272 788110501539 797169242936 872373888496 912549001782 976813015992 1019907707874 1050814002052 1195753864404 1216732002376 1308560832744 1359876943832 1576221003078 1594338485872 1825098003564 1953626031984 2039815415748 2101628004104 2391507728808 2433464004752 2617121665488 2719753887664 2889738505643 3152442006156 3650196007128 4079630831496 4203256008208 4783015457616 5779477011286 6304884012312 7300392014256 8159261662992 8669215516929 11558954022572 12609768024624 17338431033858 23117908045144 34676862067716 46235816090288 69353724135432 138707448270864
- Sum of all divisors σ(n): 468025535877120
- Sum of proper divisors (its aliquot sum) s(n): 329318087606256
- 138707448270864 is an abundant number, because the sum of its proper divisors (329318087606256) is greater than itself. Its abundance is 190610639335392
Bases of 138707448270864
- Binary: 111111000100111010110000010111010010000000100002
- Hexadecimal: 0x7E27582E9010
- Base-36: 1D61BLDOUO
Squares and roots of 138707448270864
- 138707448270864 squared (1387074482708642) is 19239756205814412463511306496
- 138707448270864 cubed (1387074482708643) is 2668697488662037239364761460722508730732544
-
The
square root of 138707448270864 is 11777412.6305765479 -
The
cube root of 138707448270864 is 51764.6474779247
Scales and comparisons
How big is 138707448270864?- 138,707,448,270,864 seconds is equal to 4,410,467 years, 41 weeks, 5 days, 21 hours, 54 minutes, 24 seconds.
-
To count from 1 to 138,707,448,270,864 would take you about eleven million, twenty-six thousand, one hundred sixty-nine 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 138707448270864 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138707448270864
- 138707448270864 backwards is 468072844707831
- The number of decimal digits it has is: 15
- The sum of 138707448270864's digits is 69
- More coming soon!
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MLA style:
"Number 138707448270864 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138707448270864 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138707448270864/
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The information we have on file for 138707448270864 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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