138292724127744
138,292,724,127,744 is an even composite number composed of five prime numbers multiplied together.
What does the number 138292724127744 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
138292724127744 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138292724127744:
211 × 37 × 192 × 312 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 31 × 31 × 89)See below for interesting mathematical facts about the number 138292724127744 from the Numbermatics database.
Names of 138292724127744
- Cardinal: 138292724127744 can be written as One hundred thirty-eight trillion, two hundred ninety-two billion, seven hundred twenty-four million, one hundred twenty-seven thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.38292724127744 × 1014
Factors of 138292724127744
Divisors of 138292724127744
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 72 76 81 89 93 96 108 114 124 128 144 152 162 171 178 186 192 216 228 243 248 256 267 279 288 304 324 342 356 361 372 384 432 456 486 496 512 513 534 558 576 589 608 648 684 712 722 729 744 768 801 837 864 912 961 972 992 1024 1026 1068 1083 1116 1152 1178 1216 1296 1368 1424 1444 1458 1488 1536 1539 1602 1674 1691 1728 1767 1824 1922 1944 1984 2048 2052 2136 2166 2187 2232 2304 2356 2403 2432 2511 2592 2736 2759 2848 2883 2888 2916 2976 3072 3078 3204 3249 3348 3382 3456 3534 3648 3844 3888 3968 4104 4272 4332 4374 4464 4608 4617 4712 4806 4864 5022 5073 5184 5301 5472 5518 5696 5766 5776 5832 5952 6144 6156 6408 6498 6696 6764 6912 7068 7209 7296 7533 7688 7776 7936 8208 8277 8544 8649 8664 8748 8928 9216 9234 9424 9612 9728 9747 10044 10146 10368 10602 10944 11036 11191 11392 11532 11552 11664 11904 12312 12816 12996 13392 13528 13824 13851 14136 14418 14592 15066 15219 15376 15552 15872 15903 16416 16554 17088 17298 17328 17496 17856 18259 18432 18468 18848 19224 19456 19494 20088 20292 20736 21204 21627 21888 22072 22382 22599 22784 23064 23104 23328 23808 24624 24831 25632 25947 25992 26784 27056 27648 27702 28272 28836 29184 29241 30132 30438 30752 31104 31744 31806 32129 32832 33108 33573 34176 34596 34656 34992 35712 36518 36936 37696 38448 38912 38988 40176 40584 41472 41553 42408 43254 43776 44144 44764 45198 45568 45657 46128 46208 46656 47616 47709 49248 49662 51264 51894 51984 52421 53568 54112 54777 55296 55404 56544 57672 58368 58482 60264 60876 61504 62208 63488 63612 64258 64881 65664 66216 67146 67797 68352 69192 69312 69984 71424 73036 73872 74493 75392 76896 77841 77976 80352 81168 82944 83106 84816 85529 86508 87552 87723 88288 89528 90396 91136 91314 92256 92416 93312 95232 95418 96387 98496 99324 100719 102528 103788 103968 104842 107136 108224 109554 110808 113088 115344 116736 116964 120528 121752 123008 124416 127224 128516 129762 131328 132432 134292 135594 136704 136971 138384 138624 139968 142848 143127 146072 147744 148986 150784 153792 155682 155952 157263 160704 162336 164331 165888 166212 169632 171058 173016 175104 175446 176576 179056 180792 182272 182628 184512 184832 186624 190464 190836 192774 194643 196992 198648 201438 205056 207576 207936 209684 214272 216448 219108 221616 223479 226176 230688 233523 233928 241056 243504 246016 248832 254448 256587 257032 259524 262656 263169 264864 268584 271188 273408 273942 276768 277248 279936 285696 286254 289161 292144 295488 297972 301568 302157 307584 311364 311904 314526 321408 324672 328662 332424 339264 342116 346032 346921 350208 350892 353152 358112 361584 365256 369024 369664 373248 381672 385548 389286 393984 397296 402876 410112 410913 415152 415872 419368 428544 429381 432896 438216 443232 446958 452352 461376 467046 467856 471789 482112 487008 492032 492993 497664 508896 513174 514064 519048 525312 526338 529728 537168 542376 546816 547884 553536 554496 559872 571392 572508 578322 584288 590976 595944 603136 604314 615168 622728 623808 629052 642816 649344 657324 664848 670437 678528 684232 692064 693842 700569 701784 706304 716224 723168 730512 738048 739328 746496 763344 769761 771096 778572 787968 789507 794592 805752 820224 821826 830304 831744 838736 857088 858762 865792 867483 876432 886464 893916 904704 906471 922752 934092 935712 943578 964224 974016 984064 985986 995999 1017792 1026348 1028128 1038096 1040763 1050624 1052676 1059456 1074336 1084752 1095768 1107072 1108992 1119744 1145016 1156644 1168576 1181952 1191888 1206272 1208628 1230336 1232739 1245456 1247616 1258104 1285632 1288143 1298688 1314648 1329696 1340874 1357056 1368464 1384128 1387684 1401138 1403568 1412608 1415367 1432448 1446336 1461024 1476096 1478979 1492992 1526688 1539522 1542192 1557144 1575936 1579014 1589184 1611504 1625051 1640448 1643652 1660608 1663488 1677472 1714176 1717524 1731584 1734966 1752864 1772928 1787832 1809408 1812942 1845504 1868184 1871424 1887156 1928448 1948032 1968128 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30979552896 31616992256 31923528192 32371892352 33697057536 34851997008 35569116288 35976254976 37909189728 39132066816 40015255824 40890811392 41306070528 42564704256 43162523136 44929410048 45017162802 46469329344 47425488384 47885292288 47968339968 48557838528 50124220416 50545586304 53353674432 55074760704 56863784592 57550030848 58698100224 60022883736 61959105792 63233984512 63847056384 64743784704 67394115072 67525744203 69703994016 71138232576 71952509952 75818379456 78264133632 80030511648 81781622784 82612141056 86325046272 89858820096 90034325604 92938658688 94850976768 95770584576 97115677056 101091172608 106707348864 113727569184 117396200448 120045767472 123918211584 127694112768 129487569408 134788230144 135051488406 139407988032 142276465152 143905019904 151636758912 160061023296 165224282112 172650092544 180068651208 185877317376 189701953536 191541169152 194231354112 202182345216 213414697728 227455138368 234792400896 240091534944 247836423168 258975138816 269576460288 270102976812 278815976064 284552930304 303273517824 320122046592 360137302416 371754634752 383082338304 388462708224 404364690432 426829395456 454910276736 480183069888 495672846336 517950277632 540205953624 557631952128 569105860608 606547035648 640244093184 720274604832 743509269504 776925416448 808729380864 853658790912 909820553472 960366139776 1080411907248 1115263904256 1213094071296 1280488186368 1440549209664 1487018539008 1553850832896 1707317581824 1819641106944 1920732279552 2160823814496 2230527808512 2426188142592 2560976372736 2881098419328 3639282213888 3841464559104 4321647628992 4461055617024 5121952745472 5762196838656 7278564427776 7682929118208 8643295257984 11524393677312 15365858236416 17286590515968 23048787354624 34573181031936 46097574709248 69146362063872 138292724127744
- Sum of all divisors σ(n): 457345577052000
- Sum of proper divisors (its aliquot sum) s(n): 319052852924256
- 138292724127744 is an abundant number, because the sum of its proper divisors (319052852924256) is greater than itself. Its abundance is 180760128796512
Bases of 138292724127744
- Binary: 111110111000110110010001011001001011000000000002
- Hexadecimal: 0x7DC6C8B25800
- Base-36: 1D0QSTC000
Squares and roots of 138292724127744
- 138292724127744 squared (1382927241277442) is 19124877546672307485630529536
- 138292724127744 cubed (1382927241277443) is 2644831414538838894875544034540282429046784
-
The
square root of 138292724127744 is 11759792.6906788625 -
The
cube root of 138292724127744 is 51713.0052605265
Scales and comparisons
How big is 138292724127744?- 138,292,724,127,744 seconds is equal to 4,397,280 years, 44 weeks, 4 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,292,724,127,744 would take you about ten million, nine hundred ninety-three thousand, two hundred two 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 138292724127744 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138292724127744
- 138292724127744 backwards is 447721427292831
- The number of decimal digits it has is: 15
- The sum of 138292724127744's digits is 63
- More coming soon!
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"Number 138292724127744 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138292724127744 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138292724127744/
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The information we have on file for 138292724127744 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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