138388807845792
138,388,807,845,792 is an even composite number composed of seven prime numbers multiplied together.
138388807845792 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 138388807845792:
25 × 33 × 72 × 17 × 19 × 1597 × 6337
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 17 × 19 × 1597 × 6337)See below for interesting mathematical facts about the number 138388807845792 from the Numbermatics database.
Names of 138388807845792
- Cardinal: 138388807845792 can be written as One hundred thirty-eight trillion, three hundred eighty-eight billion, eight hundred seven million, eight hundred forty-five thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.38388807845792 × 1014
Factors of 138388807845792
Divisors of 138388807845792
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 49 51 54 56 57 63 68 72 76 84 96 98 102 108 112 114 119 126 133 136 144 147 152 153 168 171 189 196 204 216 224 228 238 252 266 272 288 294 304 306 323 336 342 357 378 392 399 408 432 441 456 459 476 504 513 532 544 588 608 612 646 672 684 714 756 784 798 816 833 864 882 912 918 931 952 969 1008 1026 1064 1071 1176 1197 1224 1292 1323 1368 1428 1512 1568 1596 1597 1632 1666 1764 1824 1836 1862 1904 1938 2016 2052 2128 2142 2261 2352 2394 2448 2499 2584 2646 2736 2793 2856 2907 3024 3192 3194 3213 3332 3528 3591 3672 3724 3808 3876 4104 4256 4284 4522 4704 4788 4791 4896 4998 5168 5292 5472 5586 5712 5814 6048 6337 6384 6388 6426 6664 6783 7056 7182 7344 7448 7497 7752 8208 8379 8568 8721 9044 9576 9582 9996 10336 10584 11172 11179 11424 11628 12674 12768 12776 12852 13328 13566 14112 14364 14373 14688 14896 14994 15504 15827 16416 16758 17136 17442 18088 19011 19152 19164 19992 20349 21168 22344 22358 22491 23256 25137 25348 25552 25704 26656 27132 27149 28728 28746 29792 29988 30343 31008 31654 33516 33537 34272 34884 36176 38022 38304 38328 39984 40698 42336 43119 44359 44688 44716 44982 46512 47481 50274 50696 51104 51408 54264 54298 57033 57456 57492 59976 60686 61047 63308 67032 67074 69768 72352 76044 76656 78253 79968 81396 81447 86238 88718 89376 89432 89964 91029 93024 94962 100548 100611 101392 102816 107729 108528 108596 114066 114912 114984 119952 120403 121372 122094 126616 133077 134064 134148 139536 142443 152088 153312 156506 162792 162894 171099 172476 177436 178864 179928 182058 189924 190043 201096 201222 202784 212401 215458 217056 217192 228132 229968 234759 239904 240806 242744 244188 244341 253232 266154 268128 268296 273087 279072 284886 301833 304176 310513 313012 323187 325584 325788 342198 344952 354872 357728 359856 361209 364116 379848 380086 399231 402192 402444 424802 427329 430916 434384 456264 459936 469518 481612 485488 488376 488682 506464 515831 532308 536592 546174 569772 570129 603666 608352 621026 626024 637203 646374 651168 651576 684396 689904 704277 709744 719712 722418 728232 733023 754103 759696 760172 798462 804384 804888 819261 842821 849604 854658 861832 868768 912528 931539 939036 963224 969561 970976 976752 977364 1031662 1064616 1073184 1083627 1092348 1139544 1140258 1197693 1207332 1242052 1252048 1274406 1292748 1303152 1330301 1368792 1379808 1408554 1419488 1444836 1456464 1466046 1486807 1508206 1519392 1520344 1547493 1596924 1609776 1638522 1685642 1699208 1709316 1710387 1723664 1825056 1863078 1878072 1911609 1926448 1939122 1953504 1954728 2046851 2063324 2112831 2129232 2167254 2184696 2262309 2279088 2280516 2395386 2414664 2484104 2504096 2528463 2548812 2585496 2606304 2660602 2737584 2794617 2817108 2889672 2908683 2912928 2932092 2973614 3016412 3040688 3094986 3193848 3219552 3250881 3277044 3371284 3398416 3418632 3420774 3447328 3610817 3726156 3756144 3823218 3852896 3878244 3909456 3990903 4093702 4126648 4225662 4258464 4334508 4369392 4460421 4524618 4558176 4561032 4642479 4790772 4829328 4968208 5056926 5097624 5131161 5170992 5278721 5321204 5475168 5589234 5634216 5734827 5779344 5817366 5864184 5899747 5947228 6032824 6081376 6140553 6189972 6387696 6501762 6554088 6742568 6786927 6796832 6837264 6841548 7221634 7452312 7512288 7585389 7646436 7756488 7818912 7981806 8187404 8253296 8383851 8451324 8669016 8738784 8920842 9049236 9122064 9284958 9581544 9658656 9936416 10113852 10120189 10195248 10262322 10341984 10557442 10642408 10832451 11178468 11268432 11469654 11558688 11634732 11728368 11799494 11894456 11972709 12065648 12281106 12379944 12775392 13003524 13108176 13381263 13485136 13573854 13674528 13683096 13927437 14327957 14443268 14904624 15170778 15292872 15512976 15836163 15963612 16374808 16506592 16767702 16902648 17338032 17699241 17841684 18098472 18244128 18421659 18569916 19163088 20227704 20240378 20360781 20390496 20524644 21114884 21284816 21664902 22356936 22536864 22756167 22939308 23269464 23456736 23598988 23788912 23945418 24131296 24562212 24759888 25275719 26007048 26216352 26762526 26970272 27147708 27366192 27854874 28655914 28886536 29809248 30341556 30360567 30585744 31025952 31672326 31927224 32497353 32749616 33535404 33805296 34676064 35398482 35683368 35918127 36196944 36843318 37139832 38326176 40143789 40455408 40480756 40721562 41049288 42229768 42569632 42983871 43329804 44713872 45512334 45878616 46538928 47197976 47508489 47577824 47890836 49124424 49519776 50551438 52014096 53097723 53525052 54295416 54732384 55264977 55709748 57311828 57773072 60683112 60721134 61171488 63344652 63854448 64994706 65499232 67070808 67610592 70796964 70841323 71366736 71836254 72393888 73686636 74279664 75827157 80287578 80910816 80961512 81443124 82098576 84459536 85967742 86659608 89427744 91024668 91081701 91757232 93077856 94395952 95016978 95781672 97492059 98248848 100295699 101102876 104028192 106195446 107050104 108590832 110529954 111419496 114623656 115546144 121366224 121442268 126689304 127708896 128951613 129989412 134141616 141593928 141682646 142525467 142733472 143672508 147373272 148559328 151654314 159293169 160575156 161923024 162886248 164197152 168919072 171935484 172043213 173319216 182049336 182163402 183514464 188791904 190033956 191563344 192283591 194984118 196497696 200591398 202205752 212390892 212523969 214100208 217181664 221059908 222838992 227481471 229247312 242732448 242884536 253378608 257903226 259978824 268283232 273245103 283187856 283365292 285050934 287345016 294746544 300887097 303308628 318586338 321150312 323846048 325772496 343870968 344086426 346638432 364098672 364326804 380067912 383126688 384567182 386854839 389968236 401182796 404411504 424781784 425047938 428200416 442119816 445677984 454962942 458494624 485769072 495889261 506757216 515806452 516129639 519957648 546490206 566375712 566730584 570101868 574690032 576850773 589493088 601774194 606617256 637172676 637571907 642300624 651544992 682444413 687741936 688172852 728197344 728653608 760135824 769134364 773709678 779936472 802365592 808823008 849563568 850095876 884239632 902661291 909925884 971538144 991778522 1031612904 1032259278 1039915296 1092980412 1133461168 1140203736 1149380064 1153701546 1203548388 1204302491 1213234512 1274345352 1275143814 1284601248 1345985137 1364888826 1375483872 1376345704 1457307216 1487667783 1520271648 1538268728 1547419356 1548388917 1559872944 1604731184 1699127136 1700191752 1730552319 1768479264 1805322582 1819851768 1912715721 1983557044 2063225808 2064518556 2185960824 2266922336 2280407472 2307403092 2407096776 2408604982 2426469024 2548690704 2550287628 2691970274 2707983873 2729777652 2752691408 2914614432 2975335566 3076537456 3094838712 3096777834 3119745888 3209462368 3268821047 3400383504 3461104638 3610645164 3612907473 3639703536 3825431442 3967114088 4037955411 4126451616 4129037112 4371921648 4463003349 4560814944 4614806184 4645166751 4814193552 4817209964 5097381408 5100575256 5191656957 5383940548 5415967746 5459555304 5505382816 5950671132 6153074912 6189677424 6193555668 6537642094 6800767008 6922209276 7221290328 7225814946 7279407072 7650862884 7934228176 8075910822 8258074224 8430117437 8743843296 8926006698 9229612368 9290333502 9421895959 9628387104 9634419928 9806463141 10201150512 10383313914 10767881096 10831935492 10838722419 10919110608 11901342264 12113866233 12379354848 12387111336 13075284188 13389010047 13844418552 14442580656 14451629892 15301725768 15868456352 16151821644 16516148448 16860234874 17852013396 18459224736 18580667004 18843791918 19268839856 19612926282 20402301024 20766627828 21535762192 21663870984 21677444838 21838221216 22881747329 23802684528 24227732466 24774222672 25290352311 26150568376 26778020094 27688837104 28265687877 28885161312 28903259784 29419389423 30603451536 32303643288 32516167257 33720469748 35704026792 36341598699 37161334008 37687583836 38537679712 39225852564 41533255656 43071524384 43327741968 43354889676 45763494658 47605369056 48455464932 49548445344 50580704622 52301136752 53556040188 55377674208 56531375754 57806519568 58838778846 61206903072 64607286576 65032334514 67440939496 68645241987 71408053584 72683197398 74322668016 75375167672 75871056933 78451705128 83066511312 84797063631 86655483936 86709779352 88258168269 91526989316 96910929864 101161409244 104602273504 107112080376 113062751508 115613039136 117677557692 129214573152 130064669028 134881878992 137290483974 142816107168 145366394796 148645336032 150750335344 151742113866 156903410256 160172231303 166133022624 169594127262 173419558704 176516336538 183053978632 193821859728 202322818488 205935725961 214224160752 226125503016 227613170799 235355115384 254391190893 260129338056 269763757984 274580967948 290732789592 301500670688 303484227732 313806820512 320344462606 339188254524 346839117408 353032673076 366107957264 387643719456 404645636976 411871451922 428448321504 452251006032 455226341598 470710230768 480516693909 508782381786 520258676112 549161935896 581465579184 606968455464 617807177883 640688925212 678376509048 706065346152 732215914528 809291273952 823742903844 904502012064 910452683196 941420461536 961033387818 1017564763572 1040517352224 1098323871792 1162931158368 1213936910928 1235614355766 1281377850424 1356753018096 1412130692304 1441550081727 1647485807688 1820905366392 1922066775636 2035129527144 2196647743584 2427873821856 2471228711532 2562755700848 2713506036192 2824261384608 2883100163454 3294971615376 3641810732784 3844133551272 4070259054288 4324650245181 4942457423064 5125511401696 5766200326908 6589943230752 7283621465568 7688267102544 8140518108576 8649300490362 9884914846128 11532400653816 15376534205088 17298600980724 19769829692256 23064801307632 34597201961448 46129602615264 69194403922896 138388807845792
- Sum of all divisors σ(n): 523729343289600
- Sum of proper divisors (its aliquot sum) s(n): 385340535443808
- 138388807845792 is an abundant number, because the sum of its proper divisors (385340535443808) is greater than itself. Its abundance is 246951727598016
Bases of 138388807845792
- Binary: 111110111011101001001111011101110000111101000002
- Hexadecimal: 0x7DDD27BB87A0
- Base-36: 1D1YXV3JC0
Squares and roots of 138388807845792
- 138388807845792 squared (1383888078457922) is 19151462136979541415652107264
- 138388807845792 cubed (1383888078457923) is 2650348013640422783679386544328221155033088
-
The
square root of 138388807845792 is 11763877.2454404675 -
The
cube root of 138388807845792 is 51724.9789623199
Scales and comparisons
How big is 138388807845792?- 138,388,807,845,792 seconds is equal to 4,400,336 years, 1 week, 2 days, 43 minutes, 12 seconds.
-
To count from 1 to 138,388,807,845,792 would take you about eleven million, eight hundred forty 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 138388807845792 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138388807845792
- 138388807845792 backwards is 297548708883831
- The number of decimal digits it has is: 15
- The sum of 138388807845792's digits is 81
- More coming soon!
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The information we have on file for 138388807845792 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!
Keywords: Divisors of 138388807845792, math, Factors of 138388807845792, curriculum, school, college, exams, university, Prime factorization of 138388807845792, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-eight billion, eight hundred seven million, eight hundred forty-five thousand, seven hundred ninety-two.