137974192799973408
137,974,192,799,973,408 is an even composite number composed of five prime numbers multiplied together.
What does the number 137974192799973408 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
137974192799973408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 137974192799973408:
25 × 36 × 192 × 312 × 41292
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 31 × 31 × 4129 × 4129)See below for interesting mathematical facts about the number 137974192799973408 from the Numbermatics database.
Names of 137974192799973408
- Cardinal: 137974192799973408 can be written as One hundred thirty-seven quadrillion, nine hundred seventy-four trillion, one hundred ninety-two billion, seven hundred ninety-nine million, nine hundred seventy-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37974192799973408 × 1017
Factors of 137974192799973408
Divisors of 137974192799973408
- Number of divisors d(n): 1134
-
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 72 76 81 93 96 108 114 124 144 152 162 171 186 216 228 243 248 279 288 304 324 342 361 372 432 456 486 496 513 558 589 608 648 684 722 729 744 837 864 912 961 972 992 1026 1083 1116 1178 1296 1368 1444 1458 1488 1539 1674 1767 1824 1922 1944 2052 2166 2232 2356 2511 2592 2736 2883 2888 2916 2976 3078 3249 3348 3534 3844 3888 4104 4129 4332 4464 4617 4712 5022 5301 5472 5766 5776 5832 6156 6498 6696 7068 7533 7688 7776 8208 8258 8649 8664 8928 9234 9424 9747 10044 10602 11191 11532 11552 11664 12312 12387 12996 13392 13851 14136 15066 15376 15903 16416 16516 17298 17328 18259 18468 18848 19494 20088 21204 22382 22599 23064 23328 24624 24774 25947 25992 26784 27702 28272 29241 30132 30752 31806 33032 33573 34596 34656 36518 36936 37161 38988 40176 42408 44764 45198 46128 47709 49248 49548 51894 51984 54777 55404 56544 58482 60264 63612 66064 67146 69192 73036 73872 74322 77841 77976 78451 80352 84816 87723 89528 90396 92256 95418 99096 100719 103788 103968 109554 110808 111483 116964 120528 127224 127999 132128 134292 138384 143127 146072 147744 148644 155682 155952 156902 164331 169632 175446 179056 180792 190836 198192 201438 207576 219108 221616 222966 233523 233928 235353 241056 254448 255998 263169 268584 276768 286254 292144 297288 302157 311364 311904 313804 328662 334449 346921 350892 358112 361584 381672 383997 396384 402876 415152 429381 438216 443232 445932 467046 467856 470706 492993 508896 511996 526338 537168 572508 584288 594576 604314 622728 627608 657324 668898 693842 700569 701784 706059 723168 763344 767994 805752 830304 858762 876432 891864 906471 934092 935712 941412 985986 1003347 1023992 1040763 1052676 1074336 1145016 1151991 1189152 1208628 1245456 1255216 1314648 1337796 1387684 1401138 1403568 1412118 1478979 1490569 1526688 1535988 1611504 1717524 1752864 1783728 1812942 1868184 1882824 1971972 2006694 2047984 2081526 2105352 2118177 2290032 2303982 2417256 2431981 2490912 2510432 2629296 2675592 2719413 2775368 2802276 2807136 2824236 2957958 2981138 3010041 3071976 3122289 3223008 3435048 3455973 3567456 3625884 3736368 3765648 3943944 3967969 4013388 4095968 4163052 4210704 4236354 4436937 4471707 4580064 4607964 4834512 4863962 5258592 5351184 5438826 5550736 5604552 5648472 5915916 5962276 6020082 6143952 6244578 6354531 6870096 6911946 7251768 7295943 7472736 7531296 7887888 7935938 8026776 8158239 8326104 8421408 8472708 8873874 8943414 9215928 9366867 9669024 9727924 10367919 10702368 10877652 11101472 11209104 11296944 11831832 11903907 11924552 12040164 12287904 12489156 12709062 13310811 13415121 13740192 13823892 14503536 14591886 15775776 15871876 16053552 16316478 16652208 16945416 17048641 17747748 17886828 18431856 18733734 19063593 19455848 20735838 21755304 21887829 22418208 22593888 23663664 23807814 23849104 24080328 24978312 25418124 26621622 26830242 27647784 28100601 29007072 29183772 31103757 31743752 32107104 32632956 33304416 33890832 34097282 35495496 35711721 35773656 36863712 37467468 38127186 38911696 40245363 41471676 43510608 43775658 46207639 47327328 47615628 47698208 48160656 49956624 50836248 51145923 53243244 53660484 55295568 56201202 57190779 58367544 62207514 63487504 65265912 65663487 67781664 68194564 70990992 71423442 71547312 74934936 75391411 76254372 77823392 80490726 82943352 84301803 87021216 87551316 92415278 93311271 95231256 96321312 99913248 101672496 102291846 106486488 107135163 107320968 110591136 112402404 114381558 116735088 120736089 124415028 126975008 130531824 131326974 136389128 138622917 141981984 142846884 143094624 149869872 150782822 152508744 153437769 160981452 165886704 168603606 175102632 184830556 186622542 190462512 196990461 203344992 204583692 212972976 214270326 214641936 224804808 226174233 228763116 233470176 241472178 248830056 252905409 261063648 262653948 272778256 277245834 285693768 299739744 301565644 305017488 306875538 321405489 321962904 323924179 331773408 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5151366218637 5308333056324 5317539322464 5569314313392 5603240448342 5914531584361 5982231737772 6105322925792 6164515807344 6506988907752 6868488291516 7077777408432 7320362521221 7470987264456 7556503247712 7962499584486 7976308983696 8353971470088 8404860672513 8675985210336 8973347606658 9157984388688 9760483361628 9961316352608 10302732437274 10616666112648 11138628626784 11206480896684 11829063168722 11943749376729 11964463475544 12329031614688 13013977815504 13736976583032 14155554816864 14640725042442 14941974528912 15454098655911 15924999168972 15952617967392 16707942940176 16809721345026 17743594753083 17946695213316 18315968777376 19520966723256 20605464874548 21233332225296 22412961793368 23658126337444 23887498753458 23928926951088 25214582017539 26027955631008 27473953166064 29281450084884 29883949057824 30908197311822 31849998337944 33415885880352 33619442690052 35487189506166 35893390426632 39041933446512 41210929749096 42466664450592 44825923586736 46362295967733 47316252674888 47774997506916 47857853902176 50429164035078 53230784259249 54947906332128 58562900169768 61816394623644 63699996675888 67238885380104 70974379012332 71786780853264 75643746052617 78083866893024 82421859498192 89651847173472 92724591935466 94632505349776 95549995013832 100858328070156 106461568518498 117125800339536 123632789247288 127399993351776 134477770760208 139086887903199 141948758024664 143573561706528 151287492105234 159692352777747 164843718996384 185449183870932 189265010699552 191099990027664 201716656140312 212923137036996 226931238157851 234251600679072 247265578494576 268955541520416 278173775806398 283897516049328 302574984210468 319384705555494 370898367741864 382199980055328 403433312280624 425846274073992 453862476315702 479077058333241 494531156989152 556347551612796 567795032098656 605149968420936 638769411110988 741796735483728 806866624561248 851692548147984 907724952631404 958154116666482 1112695103225592 1210299936841872 1277538822221976 1437231174999723 1483593470967456 1703385096295968 1815449905262808 1916308233332964 2225390206451184 2420599873683744 2555077644443952 2874462349999446 3630899810525616 3832616466665928 4311693524999169 4450780412902368 5110155288887904 5748924699998892 7261799621051232 7665232933331856 8623387049998338 11497849399997784 15330465866663712 17246774099996676 22995698799995568 34493548199993352 45991397599991136 68987096399986704 137974192799973408
- Sum of all divisors σ(n): 444252515473752237
- Sum of proper divisors (its aliquot sum) s(n): 306278322673778829
- 137974192799973408 is an abundant number, because the sum of its proper divisors (306278322673778829) is greater than itself. Its abundance is 168304129873805421
Bases of 137974192799973408
- Binary: 1111010100010111011001100000111100000001110000000001000002
- Hexadecimal: 0x1EA2ECC1E038020
- Base-36: 11QJRP510I00
Squares and roots of 137974192799973408
- 137974192799973408 squared (1379741927999734082) is 19036877878804233820530125507134464
- 137974192799973408 cubed (1379741927999734083) is 2626597858759684161953550972743812774363173480333312
-
The
square root of 137974192799973408 is 371448775.4724376635 -
The
cube root of 137974192799973408 is 516732.7100498633
Scales and comparisons
How big is 137974192799973408?- 137,974,192,799,973,408 seconds is equal to 4,387,152,548 years, 43 weeks, 4 days, 11 hours, 16 minutes, 48 seconds.
-
To count from 1 to 137,974,192,799,973,408 would take you about thirteen billion, one hundred sixty-one million, four hundred fifty-seven thousand, six hundred forty-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 137974192799973408 cubic inches would be around 43061.1 feet tall.
Recreational maths with 137974192799973408
- 137974192799973408 backwards is 804379997291479731
- The number of decimal digits it has is: 18
- The sum of 137974192799973408's digits is 99
- More coming soon!
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"Number 137974192799973408 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 137974192799973408 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/137974192799973408/
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The information we have on file for 137974192799973408 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 137974192799973408, math, Factors of 137974192799973408, curriculum, school, college, exams, university, Prime factorization of 137974192799973408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred seventy-four trillion, one hundred ninety-two billion, seven hundred ninety-nine million, nine hundred seventy-three thousand, four hundred eight.