138374263007136
138,374,263,007,136 is an even composite number composed of six prime numbers multiplied together.
138374263007136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138374263007136:
25 × 35 × 132 × 192 × 31 × 972
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 19 × 19 × 31 × 97 × 97)See below for interesting mathematical facts about the number 138374263007136 from the Numbermatics database.
Names of 138374263007136
- Cardinal: 138374263007136 can be written as One hundred thirty-eight trillion, three hundred seventy-four billion, two hundred sixty-three million, seven thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.38374263007136 × 1014
Factors of 138374263007136
Divisors of 138374263007136
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 48 52 54 57 62 72 76 78 81 93 96 97 104 108 114 117 124 144 152 156 162 169 171 186 194 208 216 228 234 243 247 248 279 288 291 304 312 324 338 342 351 361 372 388 403 416 432 456 468 486 494 496 507 513 558 582 589 608 624 648 676 684 702 722 741 744 776 806 837 864 873 912 936 972 988 992 1014 1026 1053 1083 1116 1164 1178 1209 1248 1261 1296 1352 1368 1404 1444 1482 1488 1521 1539 1552 1612 1674 1746 1767 1824 1843 1872 1944 1976 2028 2052 2106 2166 2223 2232 2328 2356 2418 2511 2522 2592 2619 2704 2736 2808 2888 2964 2976 3007 3042 3078 3104 3159 3211 3224 3249 3348 3492 3534 3627 3686 3744 3783 3888 3952 4056 4104 4212 4332 4446 4464 4563 4617 4656 4693 4712 4836 5022 5044 5238 5239 5301 5408 5472 5529 5616 5776 5928 6014 6084 6156 6318 6422 6448 6498 6669 6696 6984 7068 7254 7372 7533 7566 7657 7776 7857 7904 8112 8208 8424 8664 8892 8928 9021 9126 9234 9312 9386 9409 9424 9633 9672 9747 10044 10088 10476 10478 10602 10881 11058 11191 11232 11349 11552 11856 12028 12168 12312 12636 12844 12896 12996 13338 13392 13689 13968 14079 14136 14508 14744 15066 15132 15314 15714 15717 15903 16224 16393 16416 16587 16848 17328 17784 18042 18252 18468 18772 18818 18848 19266 19344 19494 20007 20088 20176 20952 20956 21204 21762 22116 22382 22698 22971 23571 23712 23959 24056 24336 24624 25272 25688 25992 26676 26784 27063 27378 27936 28158 28227 28272 28899 29016 29241 29488 30132 30264 30628 31428 31434 31806 32643 32786 33174 33573 33696 34047 34656 35017 35568 36084 36504 36936 37544 37636 38532 38688 38988 39091 40014 40176 40352 41067 41904 41912 42237 42408 43524 44232 44764 45396 45942 47142 47151 47709 47918 48112 48672 49179 49248 49761 50544 51376 51984 53352 54126 54756 56316 56454 56544 57133 57798 58032 58482 58976 60021 60264 60528 61009 61256 62856 62868 63612 65286 65572 66348 67146 68094 68913 70034 71136 71877 72168 73008 73872 75088 75272 77064 77976 78182 80028 80352 81189 82134 83808 83824 84474 84681 84816 86697 87048 87723 88464 89528 90792 91884 94284 94302 95418 95836 96224 97929 98358 99522 99541 100719 101088 102141 102752 103968 105051 106704 108252 109512 112632 112908 114266 115596 116064 116964 117273 120042 120528 121056 122018 122317 122512 125712 125736 126711 127224 130572 131144 132696 134292 136188 137826 140068 141453 143127 143754 144336 145483 146016 147537 147744 149283 150176 150544 154128 155952 156364 160056 162378 164268 167648 168948 169362 169632 171399 173394 174096 175446 176928 178771 179056 181584 183027 183768 188568 188604 190836 191672 195858 196716 199044 199082 201438 204282 206739 210102 213408 215631 216504 219024 225264 225816 228532 231192 233928 234546 240084 241056 243567 244036 244634 245024 251424 251472 253422 254043 254448 260091 261144 262288 265392 268584 272376 275652 280136 282906 286254 287508 288672 290966 291679 295074 298566 298623 301088 302157 306423 308256 311467 311904 312728 315153 320112 324756 328536 337896 338724 342798 346788 348192 350892 351819 357542 358112 363168 366054 366951 367536 377136 377208 380133 381672 383344 391716 393432 398088 398164 402876 408564 413478 420204 424359 431262 433008 436449 438048 442611 447849 450528 451632 455221 457064 462384 467856 469092 480168 487134 488072 489268 502944 506844 508086 508183 508896 514197 520182 522288 524576 530784 536313 537168 544752 549081 551304 560272 565812 572508 575016 581932 583358 590148 597132 597246 604314 612846 620217 622934 625456 630306 640224 646893 649512 657072 675792 677448 685596 693576 701784 703638 715084 730701 732108 733902 735072 742729 754272 754416 760266 762129 763344 766688 780273 783432 786864 796176 796328 805752 817128 826956 840408 848718 862524 866016 872898 875037 885222 895698 895869 903264 906471 910442 914128 924768 934401 935712 938184 945459 960336 974268 976144 978536 1013688 1016172 1016366 1028394 1040364 1044576 1055457 1072626 1074336 1085527 1089504 1098162 1100853 1102608 1120544 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4732200096 4768895196 4788202464 4894392438 4902195168 4914207792 4953259701 5054213712 5113042272 5166303129 5187219336 5323725108 5386727772 5475398188 5619487614 5685990426 5752172556 5775460704 5835621753 5870530016 6023867616 6096319632 6182390448 6256749096 6358526928 6525856584 6603085656 6604346268 6858359586 6888404172 6916292448 7098300144 7153342794 7182303696 7341588657 7353292752 7371311688 7492650152 7581320568 7669563408 7780829004 7985587662 8213097282 8342332128 8429231421 8441057952 8528985639 8701142112 8804114208 8805795024 9035801424 9144479448 9184538896 9385123644 9537790392 9788784876 9828415584 9906519402 10108427424 10332606258 10374438672 10647450216 10730014191 10773455544 10950796376 11238975228 11371980852 11504345112 11671243506 11978381493 12192639264 12319645923 12364780896 12513498192 12717053856 13051713168 13206171312 13208692536 13716719172 13776808344 14196600288 14306685588 14364607392 14683177314 14706585504 14742623376 14859779103 14985300304 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65704778256 67433851368 68231885112 70027461036 71180176444 73917875538 75080989152 75863082789 78310279008 79252155216 82660850064 85840113528 89158674618 89911801824 90975846816 92993456322 93369948048 95827051944 98557167384 101150777052 102347827668 106770264666 109733753376 110876813307 114453484704 117465418512 118878232824 123991275096 127769402592 131409556512 134867702736 136463770224 139490184483 140054922072 142360352888 147835751076 151726165578 158504310432 160155396999 165321700128 171680227056 178317349236 185986912644 186739896096 191654103888 197114334768 202301554104 204695655336 213540529332 221753626614 227589248367 234930837024 237756465648 247982550192 269735405472 272927540448 278980368966 280109844144 284720705776 295671502152 303452331156 320310793998 332630439921 343360454112 356634698472 371973825288 383308207776 394228669536 404603108208 409391310672 427081058664 443507253228 455178496734 475512931296 480466190997 495965100384 557960737932 560219688288 569441411552 591343004304 606904662312 640621587996 665260879842 713269396944 743947650576 809206216416 818782621344 854162117328 887014506456 910356993468 960932381994 1115921475864 1182686008608 1213809324624 1281243175992 1330521759684 1426538793888 1441398572991 1487895301152 1708324234656 1774029012912 1820713986936 1921864763988 2231842951728 2427618649248 2562486351984 2661043519368 2882797145982 3548058025824 3641427973872 3843729527976 4324195718973 4463685903456 5124972703968 5322087038736 5765594291964 7282855947744 7687459055952 8648391437946 10644174077472 11531188583928 15374918111904 17296782875892 23062377167856 34593565751784 46124754335712 69187131503568 138374263007136
- Sum of all divisors σ(n): 486420053019264
- Sum of proper divisors (its aliquot sum) s(n): 348045790012128
- 138374263007136 is an abundant number, because the sum of its proper divisors (348045790012128) is greater than itself. Its abundance is 209671527004992
Bases of 138374263007136
- Binary: 111110111011001110001001100101011100111101000002
- Hexadecimal: 0x7DD9C4CAE7A0
- Base-36: 1D1S9BH600
Squares and roots of 138374263007136
- 138374263007136 squared (1383742630071362) is 19147436662768046481586922496
- 138374263007136 cubed (1383742630071363) is 2649512436686344079864846250514724726931456
-
The
square root of 138374263007136 is 11763259.0300110283 -
The
cube root of 138374263007136 is 51723.1667786043
Scales and comparisons
How big is 138374263007136?- 138,374,263,007,136 seconds is equal to 4,399,873 years, 28 weeks, 1 day, 23 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,374,263,007,136 would take you about ten million, nine hundred ninety-nine thousand, six hundred eighty-three 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 138374263007136 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138374263007136
- 138374263007136 backwards is 631700362473831
- 138374263007136 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138374263007136's digits is 54
- More coming soon!
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MLA style:
"Number 138374263007136 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138374263007136 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138374263007136/
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The information we have on file for 138374263007136 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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