137993433661440
137,993,433,661,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 137993433661440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
137993433661440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137993433661440:
214 × 32 × 5 × 7 × 372 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 37 × 37 × 19531)See below for interesting mathematical facts about the number 137993433661440 from the Numbermatics database.
Names of 137993433661440
- Cardinal: 137993433661440 can be written as One hundred thirty-seven trillion, nine hundred ninety-three billion, four hundred thirty-three million, six hundred sixty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3799343366144 × 1014
Factors of 137993433661440
Divisors of 137993433661440
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 37 40 42 45 48 56 60 63 64 70 72 74 80 84 90 96 105 111 112 120 126 128 140 144 148 160 168 180 185 192 210 222 224 240 252 256 259 280 288 296 315 320 333 336 360 370 384 420 444 448 480 504 512 518 555 560 576 592 630 640 666 672 720 740 768 777 840 888 896 960 1008 1024 1036 1110 1120 1152 1184 1260 1280 1295 1332 1344 1369 1440 1480 1536 1554 1665 1680 1776 1792 1920 2016 2048 2072 2220 2240 2304 2331 2368 2520 2560 2590 2664 2688 2738 2880 2960 3072 3108 3330 3360 3552 3584 3840 3885 4032 4096 4107 4144 4440 4480 4608 4662 4736 5040 5120 5180 5328 5376 5476 5760 5920 6144 6216 6660 6720 6845 7104 7168 7680 7770 8064 8192 8214 8288 8880 8960 9216 9324 9472 9583 10080 10240 10360 10656 10752 10952 11520 11655 11840 12288 12321 12432 13320 13440 13690 14208 14336 15360 15540 16128 16384 16428 16576 17760 17920 18432 18648 18944 19166 19531 20160 20480 20535 20720 21312 21504 21904 23040 23310 23680 24576 24642 24864 26640 26880 27380 28416 28672 28749 30720 31080 32256 32856 33152 35520 35840 36864 37296 37888 38332 39062 40320 40960 41070 41440 42624 43008 43808 46080 46620 47360 47915 49152 49284 49728 53280 53760 54760 56832 57344 57498 58593 61440 61605 62160 64512 65712 66304 71040 71680 73728 74592 75776 76664 78124 80640 81920 82140 82880 85248 86016 86247 87616 92160 93240 94720 95830 97655 98568 99456 106560 107520 109520 113664 114688 114996 117186 122880 123210 124320 129024 131424 132608 136717 142080 143360 143745 147456 149184 151552 153328 156248 161280 164280 165760 170496 172032 172494 175232 175779 184320 186480 189440 191660 195310 197136 198912 213120 215040 219040 227328 229992 234372 245760 246420 248640 258048 262848 265216 273434 284160 286720 287490 292965 298368 303104 306656 312496 322560 328560 331520 340992 344064 344988 350464 351558 368640 372960 378880 383320 390620 394272 397824 410151 426240 430080 431235 438080 454656 459984 468744 492840 497280 516096 525696 530432 546868 568320 573440 574980 585930 596736 606208 613312 624992 645120 657120 663040 681984 683585 689976 700928 703116 722647 737280 745920 757760 766640 781240 788544 795648 820302 852480 860160 862470 876160 878895 909312 919968 937488 985680 994560 1032192 1051392 1060864 1093736 1136640 1149960 1171860 1193472 1226624 1230453 1249984 1290240 1314240 1326080 1363968 1367170 1379952 1401856 1406232 1445294 1491840 1515520 1533280 1562480 1577088 1591296 1640604 1704960 1720320 1724940 1752320 1757790 1818624 1839936 1874976 1971360 1989120 2050755 2102784 2121728 2167941 2187472 2273280 2299920 2343720 2386944 2453248 2460906 2499968 2580480 2628480 2652160 2727936 2734340 2759904 2803712 2812464 2890588 2983680 3031040 3066560 3124960 3154176 3182592 3281208 3409920 3449880 3504640 3515580 3613235 3679872 3749952 3942720 3978240 4101510 4205568 4243456 4335882 4374944 4546560 4599840 4687440 4773888 4906496 4921812 4999936 5058529 5160960 5256960 5304320 5455872 5468680 5519808 5607424 5624928 5781176 5967360 6133120 6152265 6249920 6308352 6365184 6503823 6562416 6819840 6899760 7009280 7031160 7226470 7359744 7499904 7885440 7956480 8203020 8411136 8671764 8749888 9093120 9199680 9374880 9547776 9812992 9843624 9999872 10117058 10513920 10608640 10839705 10937360 11039616 11214848 11249856 11562352 11934720 12266240 12304530 12499840 12616704 12730368 13007646 13124832 13639680 13799520 14018560 14062320 14452940 14719488 14999808 15175587 15770880 15912960 16406040 16822272 17343528 17499776 18399360 18749760 19095552 19625984 19687248 19999744 20234116 21027840 21217280 21679410 21874720 22079232 22429696 22499712 23124704 23869440 24532480 24609060 24999680 25233408 25292645 26015292 26249664 26737939 27279360 27599040 28037120 28124640 28905880 29438976 29999616 30351174 31541760 31825920 32519115 32812080 33644544 34687056 34999552 36798720 37499520 38191104 39251968 39374496 39999488 40468232 42055680 43358820 43749440 44158464 44999424 45526761 46249408 47738880 49064960 49218120 49999360 50466816 50585290 52030584 52499328 53475878 55198080 56074240 56249280 57811760 58877952 59999232 60702348 63083520 63651840 65038230 65624160 67289088 69374112 69999104 73597440 74999040 75877935 78503936 78748992 79998976 80213817 80936464 84111360 86717640 87498880 88316928 89998848 91053522 92498816 95477760 98129920 98436240 99998720 100933632 101170580 104061168 104998656 106951756 110396160 112148480 112498560 115623520 117755904 119998464 121404696 126167040 130076460 131248320 133689695 138748224 139998208 147194880 149998080 151755870 157007872 157497984 159997952 160427634 161872928 168222720 173435280 174997760 176633856 179997696 182107044 184997632 187165573 190955520 196259840 196872480 199997440 201867264 202341160 208122336 209997312 213903512 220792320 224997120 227633805 231247040 235511808 239996928 240641451 242809392 252334080 260152920 262496640 267379390 277496448 279996416 294389760 299996160 303511740 314995968 319995904 320855268 323745856 336445440 346870560 349995520 353267712 359995392 364214088 369995264 374331146 392519680 393744960 399994880 401069085 404682320 416244672 419994624 427807024 441584640 449994240 455267610 462494080 471023616 479993856 481282902 485618784 504668160 520305840 524993280 534758780 554992896 559992832 561496719 588779520 599992320 607023480 629991936 641710536 647491712 693741120 699991040 706535424 719990784 728428176 739990528 748662292 785039360 787489920 799989760 802138170 809364640 832489344 839989248 855614048 883169280 899988480 910535220 924988160 935827865 959987712 962565804 971237568 1009336320 1040611680 1049986560 1069517560 1109985792 1119985664 1122993438 1177559040 1199984640 1203207255 1214046960 1259983872 1283421072 1294983424 1387482240 1399982080 1413070848 1439981568 1456856352 1479981056 1497324584 1574979840 1599979520 1604276340 1618729280 1664978688 1679978496 1684490157 1711228096 1766338560 1799976960 1821070440 1849976320 1871655730 1925131608 1942475136 2081223360 2099973120 2139035120 2219971584 2239971328 2245986876 2355118080 2399969280 2406414510 2428093920 2519967744 2566842144 2589966848 2774964480 2799964160 2807483595 2879963136 2913712704 2959962112 2994649168 3149959680 3208552680 3237458560 3329957376 3359956992 3368980314 3422456192 3532677120 3599953920 3642140880 3699952640 3743311460 3850263216 3884950272 4162446720 4199946240 4278070240 4439943168 4491973752 4799938560 4812829020 4856187840 5039935488 5133684288 5179933696 5549928960 5599928320 5614967190 5827425408 5919924224 5989298336 6299919360 6417105360 6474917120 6659914752 6719913984 6737960628 6844912384 7065354240 7199907840 7284281760 7399905280 7486622920 7700526432 7769900544 8324893440 8399892480 8422450785 8556140480 8879886336 8983947504 9625658040 9712375680 10079870976 10267368576 10359867392 11099857920 11199856640 11229934380 11654850816 11839848448 11978596672 12599838720 12834210720 12949834240 13319829504 13475921256 13689824768 14399815680 14568563520 14799810560 14973245840 15401052864 15539801088 16649786880 16799784960 16844901570 17112280960 17759772672 17967895008 19251316080 19424751360 20159741952 20534737152 20719734784 22199715840 22459868760 23309701632 23957193344 25199677440 25668421440 25899668480 26639659008 26951842512 27379649536 29137127040 29599621120 29946491680 30802105728 31079602176 33299573760 33599569920 33689803140 34224561920 35519545344 35935790016 38502632160 38849502720 41069474304 41439469568 44399431680 44919737520 46619403264 47914386688 50399354880 51336842880 51799336960 53279318016 53903685024 54759299072 58274254080 59199242240 59892983360 61604211456 62159204352 66599147520 67379606280 68449123840 71871580032 77005264320 77699005440 82138948608 82878939136 88798863360 89839475040 93238806528 95828773376 100798709760 102673685760 103598673920 106558636032 107807370048 109518598144 116548508160 119785966720 123208422912 124318408704 133198295040 134759212560 136898247680 143743160064 154010528640 155398010880 164277897216 177597726720 179678950080 186477613056 191657546752 205347371520 207197347840 215614740096 219037196288 233097016320 239571933440 246416845824 248636817408 266396590080 269518425120 273796495360 287486320128 308021057280 310796021760 328555794432 359357900160 372955226112 383315093504 410694743040 414394695680 431229480192 438074392576 466194032640 479143866880 492833691648 532793180160 539036850240 547592990720 574972640256 616042114560 621592043520 657111588864 718715800320 745910452224 766630187008 821389486080 862458960384 932388065280 958287733760 985667383296 1078073700480 1095185981440 1149945280512 1232084229120 1243184087040 1314223177728 1437431600640 1533260374016 1642778972160 1724917920768 1864776130560 1916575467520 1971334766592 2156147400960 2190371962880 2299890561024 2464168458240 2874863201280 3066520748032 3285557944320 3449835841536 3729552261120 3833150935040 3942669533184 4312294801920 4599781122048 4928336916480 5749726402560 6571115888640 6899671683072 7666301870080 8624589603840 9199562244096 9856673832960 11499452805120 13799343366144 15332603740160 17249179207680 19713347665920 22998905610240 27598686732288 34498358415360 45997811220480 68996716830720 137993433661440
- Sum of all divisors σ(n): 561903948470592
- Sum of proper divisors (its aliquot sum) s(n): 423910514809152
- 137993433661440 is an abundant number, because the sum of its proper divisors (423910514809152) is greater than itself. Its abundance is 285917081147712
Bases of 137993433661440
- Binary: 111110110000001000110011001100001000000000000002
- Hexadecimal: 0x7D8119984000
- Base-36: 1CWXB3IM80
Squares and roots of 137993433661440
- 137993433661440 squared (1379934336614402) is 19042187733674242084542873600
- 137993433661440 cubed (1379934336614403) is 2627696869795463023480638048149107113984000
-
The
square root of 137993433661440 is 11747060.6392169441 -
The
cube root of 137993433661440 is 51675.6728841977
Scales and comparisons
How big is 137993433661440?- 137,993,433,661,440 seconds is equal to 4,387,764 years, 18 weeks, 22 hours, 24 minutes.
-
To count from 1 to 137,993,433,661,440 would take you about ten million, nine hundred sixty-nine thousand, four hundred ten 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 137993433661440 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137993433661440
- 137993433661440 backwards is 044166334399731
- 137993433661440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137993433661440's digits is 63
- More coming soon!
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The information we have on file for 137993433661440 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 137993433661440, math, Factors of 137993433661440, curriculum, school, college, exams, university, Prime factorization of 137993433661440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred ninety-three billion, four hundred thirty-three million, six hundred sixty-one thousand, four hundred forty.