138008638944
138,008,638,944 is an even composite number composed of seven prime numbers multiplied together.
138008638944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138008638944:
25 × 33 × 112 × 17 × 19 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 17 × 19 × 61 × 67)See below for interesting mathematical facts about the number 138008638944 from the Numbermatics database.
Names of 138008638944
- Cardinal: 138008638944 can be written as One hundred thirty-eight billion, eight million, six hundred thirty-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38008638944 × 1011
Factors of 138008638944
Divisors of 138008638944
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 19 22 24 27 32 33 34 36 38 44 48 51 54 57 61 66 67 68 72 76 88 96 99 102 108 114 121 122 132 134 136 144 152 153 171 176 183 187 198 201 204 209 216 228 242 244 264 268 272 288 297 304 306 323 342 352 363 366 374 396 402 408 418 432 456 459 484 488 513 528 536 544 549 561 594 603 608 612 627 646 671 684 726 732 737 748 792 804 816 836 864 912 918 968 969 976 1026 1037 1056 1072 1089 1098 1122 1139 1159 1188 1206 1224 1254 1273 1292 1342 1368 1452 1464 1474 1496 1584 1608 1632 1647 1672 1683 1809 1824 1836 1881 1936 1938 1952 2013 2052 2057 2074 2144 2178 2196 2211 2244 2278 2299 2318 2376 2412 2448 2508 2546 2584 2684 2736 2904 2907 2928 2948 2992 3111 3168 3216 3267 3294 3344 3366 3417 3477 3553 3618 3672 3762 3819 3872 3876 4026 4087 4104 4114 4148 4356 4392 4422 4488 4556 4598 4636 4752 4824 4896 5016 5049 5092 5168 5368 5472 5643 5808 5814 5856 5896 5984 6039 6171 6222 6432 6534 6588 6633 6688 6732 6834 6897 6954 7106 7236 7344 7381 7524 7638 7752 8052 8107 8174 8208 8228 8296 8712 8721 8784 8844 8976 9112 9196 9272 9333 9504 9648 10032 10098 10184 10251 10336 10431 10659 10736 11286 11407 11457 11616 11628 11792 12078 12261 12342 12444 12529 12749 13068 13176 13266 13464 13668 13794 13908 14003 14212 14472 14688 14762 15048 15276 15504 16104 16214 16348 16416 16456 16592 17424 17442 17568 17688 17952 18117 18224 18392 18513 18544 18666 19296 19703 19899 20064 20196 20368 20502 20691 20862 21318 21472 21641 22143 22572 22814 22914 23256 23584 24156 24321 24522 24684 24888 25058 25498 26136 26352 26532 26928 27336 27588 27816 27999 28006 28424 28944 29524 30096 30552 30753 31008 31293 31977 32208 32428 32696 32912 33184 34221 34371 34848 34884 35376 36234 36448 36783 36784 37026 37088 37332 37587 38247 39083 39406 39798 40392 40736 41004 41382 41724 42009 42636 43282 44286 44957 45144 45628 45828 46512 48312 48642 49044 49368 49776 50116 50996 52272 52704 53064 53856 54672 55176 55539 55632 55998 56012 56848 57888 59048 59109 60192 61104 61506 62073 62586 63954 64416 64856 64923 65392 65824 66429 68442 68742 69479 69768 70752 72468 72963 73566 73568 74052 74664 75174 76494 77653 78166 78812 79596 80784 82008 82764 83448 84018 85272 86564 88572 89914 90288 91256 91656 93024 95931 96624 97284 98088 98736 99552 100232 101992 102663 104544 106128 109344 110349 110352 111078 111264 111996 112024 112761 113696 114741 117249 118096 118218 122208 123012 124146 125172 125477 126027 127908 129712 129846 130784 132858 134871 136884 137484 137819 138958 139536 140239 144936 145926 147132 148104 149328 150348 152988 154033 155306 156332 157624 159192 161568 164016 165528 166896 168036 170544 173128 177144 177327 179828 180576 182512 183312 191862 193248 194568 194769 196176 197472 199287 200464 203984 205326 208437 212256 216733 218889 220698 220704 222156 223992 224048 225522 229482 232959 234498 236192 236436 238051 246024 248292 250344 250954 252054 255816 259424 259692 265716 269742 273768 274968 275638 277916 279072 280478 289872 291852 294264 296208 298656 300696 305976 307989 308066 310612 312664 315248 318384 328032 331056 333792 336072 338283 341088 344223 346256 351747 354288 354654 359656 365024 366624 376431 378081 383724 389136 389538 392352 398574 400928 404613 407968 410652 413457 416874 420717 433466 437778 441396 444312 447984 448096 451044 458964 462099 465918 468996 472872 476102 492048 494527 496584 500688 501908 504108 511632 519384 531432 531981 539484 547536 549936 551276 555832 560956 579744 583704 584307 588528 592416 601392 611952 615978 616132 621224 625311 625328 630496 636768 650199 662112 672144 676566 688446 692512 698877 703494 708576 709308 714153 719312 752862 756162 764269 767448 778272 779076 797148 809226 821304 826914 833748 841434 854183 866932 875556 882792 888624 895968 902088 917928 924198 931836 937992 945744 952204 984096 989054 993168 1001376 1003816 1008216 1023264 1038768 1055241 1062864 1063962 1078968 1095072 1099872 1102552 1111664 1121912 1129293 1167408 1168614 1177056 1202784 1213839 1223904 1231956 1232264 1240371 1242448 1250622 1250656 1262151 1300398 1320101 1344288 1353132 1376892 1386297 1397754 1406988 1418616 1428306 1438624 1483581 1505724 1512324 1528538 1534896 1558152 1594296 1618452 1642608 1653828 1667496 1682868 1708366 1733864 1751112 1765584 1777248 1804176 1835856 1848396 1863672 1875933 1875984 1891488 1904408 1950597 1978108 1986336 2007632 2016432 2077536 2096631 2110482 2125728 2127924 2142459 2157936 2205104 2223328 2243824 2258586 2292807 2334816 2337228 2384063 2427678 2463912 2464528 2480742 2484896 2501244 2524302 2562549 2600796 2618561 2640202 2706264 2753784 2772594 2795508 2813976 2837232 2856612 2967162 3011448 3024648 3057076 3069792 3116304 3188592 3236904 3285216 3307656 3334992 3365736 3387879 3416732 3467728 3502224 3531168 3608352 3671712 3696792 3721113 3727344 3751866 3751968 3786453 3808816 3901194 3956216 3960303 4015264 4032864 4158891 4193262 4220964 4255848 4284918 4315872 4410208 4450743 4487648 4517172 4585614 4674456 4768126 4855356 4927824 4929056 4961484 5002488 5048604 5125098 5201592 5237122 5280404 5412528 5507568 5545188 5591016 5627952 5674464 5713224 5851791 5934324 6022896 6049296 6114152 6232608 6377184 6427377 6473808 6615312 6669984 6731472 6775758 6833464 6878421 6935456 7004448 7152189 7393584 7442226 7454688 7503732 7572906 7617632 7687647 7802388 7855683 7912432 7920606 8317782 8386524 8406959 8441928 8511696 8569836 8901486 9034344 9171228 9348912 9396013 9536252 9710712 9855648 9922968 10004976 10097208 10250196 10403184 10474244 10560808 10825056 11015136 11090376 11182032 11255904 11426448 11703582 11868648 11880909 12045792 12098592 12228304 12854754 12947616 13230624 13352229 13462944 13551516 13666928 13756842 14304378 14521111 14787168 14884452 15007464 15145812 15375294 15604776 15711366 15824864 15841212 16635564 16773048 16813918 16883856 17023392 17139672 17802972 18068688 18342456 18697824 18792026 19072504 19421424 19845936 20009952 20194416 20500392 20635263 20806368 20948488 21121616 21456567 22180752 22364064 22852896 23062941 23407164 23567049 23737296 23761818 24456608 25220877 25709508 26704458 27103032 27333856 27513684 28188039 28608756 29042222 29768904 30014928 30291624 30750588 31209552 31422732 31682424 33271128 33546096 33627836 33767712 34279344 35605944 35642727 36137376 36684912 37584052 38145008 38842848 39691872 40388832 41000784 41270526 41896976 42243232 42913134 43563333 44361504 46125882 46814328 47134098 47474592 47523636 50441754 51419016 53408916 54206064 55027368 56376078 57217512 58084444 59537808 60029856 60583248 61501176 62419104 62845464 63364848 64369701 66542256 67092192 67255672 68558688 70701147 71211888 71285454 73369824 75168104 75662631 76290016 82001568 82541052 83793952 84564117 85826268 87126666 92251764 93628656 94268196 95047272 100883508 102838032 106817832 108412128 110054736 112752156 114435024 116168888 119075616 121166496 123002352 125690928 126729696 128739402 130689999 133084512 134511344 141402294 142423776 142570908 150336208 151325262 159732221 165082104 169128234 171652536 174253332 184503528 187257312 188536392 190094544 201767016 205676064 213635664 220109472 225504312 226987893 228870048 232337776 246004704 251381856 253692351 257478804 261379998 269022688 282804588 285141816 300672416 302650524 319464442 330164208 338256468 343305072 348506664 369007056 377072784 380189088 392069997 403534032 427271328 451008624 453975786 464675552 479196663 507384702 514957608 522759996 565609176 570283632 605301048 638928884 660328416 676512936 686610144 697013328 738014112 754145568 784139994 807068064 902017248 907951572 958393326 1014769404 1029915216 1045519992 1131218352 1140567264 1210602096 1277857768 1353025872 1394026656 1437589989 1568279988 1815903144 1916786652 2029538808 2059830432 2091039984 2262436704 2421204192 2555715536 2706051744 2875179978 3136559976 3631806288 3833573304 4059077616 4182079968 4312769967 5111431072 5750359956 6273119952 7263612576 7667146608 8118155232 8625539934 11500719912 12546239904 15334293216 17251079868 23001439824 34502159736 46002879648 69004319472 138008638944
- Sum of all divisors σ(n): 508692441600
- Sum of proper divisors (its aliquot sum) s(n): 370683802656
- 138008638944 is an abundant number, because the sum of its proper divisors (370683802656) is greater than itself. Its abundance is 232675163712
Bases of 138008638944
- Binary: 100000001000011111010010110101111000002
- Hexadecimal: 0x2021F4B5E0
- Base-36: 1REES3C0
Squares and roots of 138008638944
- 138008638944 squared (1380086389442) is 19046384423175353435136
- 138008638944 cubed (1380086389443) is 2628565591046633058229274347536384
-
The
square root of 138008638944 is 371495.1398659207 -
The
cube root of 138008638944 is 5167.7570835253
Scales and comparisons
How big is 138008638944?- 138,008,638,944 seconds is equal to 4,388 years, 12 weeks, 6 days, 5 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,008,638,944 would take you about eight thousand, seven hundred seventy-six 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 138008638944 cubic inches would be around 430.6 feet tall.
Recreational maths with 138008638944
- 138008638944 backwards is 449836800831
- 138008638944 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138008638944's digits is 54
- More coming soon!
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"Number 138008638944 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138008638944 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138008638944/
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The information we have on file for 138008638944 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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