138683430198960
138,683,430,198,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138683430198960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 640 divisors.
138683430198960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138683430198960:
24 × 3 × 5 × 293 × 53 × 409 × 1093
(2 × 2 × 2 × 2 × 3 × 5 × 29 × 29 × 29 × 53 × 409 × 1093)See below for interesting mathematical facts about the number 138683430198960 from the Numbermatics database.
Names of 138683430198960
- Cardinal: 138683430198960 can be written as One hundred thirty-eight trillion, six hundred eighty-three billion, four hundred thirty million, one hundred ninety-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3868343019896 × 1014
Factors of 138683430198960
Divisors of 138683430198960
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 53 58 60 80 87 106 116 120 145 159 174 212 232 240 265 290 318 348 409 424 435 464 530 580 636 696 795 818 841 848 870 1060 1093 1160 1227 1272 1392 1537 1590 1636 1682 1740 2045 2120 2186 2320 2454 2523 2544 3074 3180 3272 3279 3364 3480 4090 4205 4240 4372 4611 4908 5046 5465 6135 6148 6360 6544 6558 6728 6960 7685 8180 8410 8744 9222 9816 10092 10930 11861 12270 12296 12615 12720 13116 13456 15370 16360 16395 16820 17488 18444 19632 20184 21677 21860 23055 23722 24389 24540 24592 25230 26232 30740 31697 32720 32790 33640 35583 36888 40368 43354 43720 44573 46110 47444 48778 49080 50460 52464 57929 59305 61480 63394 65031 65580 67280 71166 73167 73776 86708 87440 89146 92220 94888 95091 97556 98160 100920 108385 115858 118610 121945 122960 126788 130062 131160 133719 142332 146334 158485 173416 173787 177915 178292 184440 189776 190182 195112 201840 216770 222865 231716 237220 243890 253576 260124 262320 267438 284664 289645 292668 316970 325155 343969 346832 347574 355830 356584 365835 368880 380364 390224 433540 445730 447037 463432 474440 475455 487780 507152 520248 534876 569328 579290 585336 628633 633940 650310 668595 687938 695148 711660 713168 731670 760728 867080 868935 891460 894074 919213 926864 948880 950910 975560 1031907 1040496 1069752 1158580 1170672 1257266 1267880 1292617 1300620 1337190 1341111 1375876 1390296 1423320 1463340 1521456 1679941 1719845 1734160 1737870 1782920 1788148 1838426 1885899 1901820 1951120 2063814 2139504 2235185 2317160 2514532 2535760 2585234 2601240 2674380 2682222 2751752 2757639 2780592 2846640 2926680 3143165 3359882 3439690 3475740 3565840 3576296 3676852 3771798 3803640 3877851 4127628 4470370 4596065 4634320 5029064 5039823 5159535 5170468 5202480 5348760 5364444 5503504 5515278 5853360 6286330 6463085 6705555 6719764 6879380 6951480 7152592 7353704 7543596 7607280 7755702 8255256 8399705 8940740 9192130 9429495 9975101 10058128 10079646 10319070 10340936 10697520 10728888 11030556 12572660 12926170 12964073 13411110 13439528 13758760 13788195 13902960 14707408 15087192 15511404 16510512 16799410 17881480 18230357 18384260 18858990 19389255 19950202 20159292 20638140 20681872 21457776 22061112 23692961 25145320 25199115 25852340 25928146 26657177 26822220 26879056 27517520 27576390 29925303 30174384 31022808 33598820 35762960 36460714 36768520 37717980 38778510 38892219 39900404 40318584 41276280 44122224 47385922 48718289 49875505 50290640 50398230 51704680 51856292 53314354 53644440 54691071 55152780 59850606 62045616 64820365 67197640 71078883 72921428 73537040 75435960 77557020 77784438 79800808 79971531 80637168 82552560 91151785 94771844 97436578 99751010 100796460 103409360 103712584 106628708 107288880 109382142 110305560 118464805 119701212 129640730 133285885 134395280 142157766 145842856 146154867 149626515 150871920 155114040 155568876 159601616 159943062 182303570 189543688 194461095 194873156 199502020 201592920 207425168 213257416 218764284 220611120 236929610 239402424 243591445 259281460 266571770 273455355 284315532 291685712 292309734 299253030 310228080 311137752 319886124 355394415 364607140 375958117 379087376 388922190 389746312 399004040 399857655 403185840 426514832 437528568 473859220 478804848 487182890 518562920 528680353 533143540 546910710 568631064 584619468 598506060 622275504 639772248 687095869 710788830 729214280 730774335 751916234 777844380 779492624 798008080 799715310 875057136 947718440 974365780 1037125840 1057360706 1066287080 1093821420 1127874351 1137262128 1169238936 1197012120 1279544496 1374191738 1412830381 1421577660 1458428560 1461548670 1503832468 1555688760 1586041059 1599430620 1879790585 1895436880 1948731560 2061287607 2114721412 2132574160 2187642840 2255748702 2338477872 2394024240 2643401765 2748383476 2825660762 2843155320 2923097340 3007664936 3111377520 3172082118 3198861240 3435479345 3759581170 3897463120 4122575214 4229442824 4238491143 4375285680 4511497404 5286803530 5496766952 5639371755 5651321524 5686310640 5846194680 6015329872 6344164236 6397722480 6870958690 7064151905 7519162340 7930205295 8245150428 8458885648 8476982286 9022994808 10306438035 10573607060 10902785393 10993533904 11278743510 11302643048 11692389360 12688328472 13741917380 14128303810 15038324680 15860410590 16490300856 16953964572 18045989616 19925780201 20612876070 21147214120 21192455715 21805570786 22557487020 22605286096 25376656944 27483834760 28256607620 30076649360 31720821180 32708356179 32980601712 33907929144 39851560402 41225752140 42294428240 42384911430 43611141572 45114974040 54513926965 54967669520 56513215240 59777340603 63441642360 65416712358 67815858288 79703120804 82451504280 84769822860 87222283144 90229948080 99628901005 109027853930 113026430480 119554681206 126883284720 130833424716 159406241608 163541780895 164903008560 169539645720 174444566288 199257802010 218055707860 239109362412 261666849432 298886703015 318812483216 327083561790 339079291440 398515604020 436111415720 478218724824 523333698864 577847625829 597773406030 654167123580 797031208040 872222831440 956437449648 1155695251658 1195546812060 1308334247160 1594062416080 1733542877487 2311390503316 2391093624120 2616668494320 2889238129145 3467085754974 4622781006632 4782187248240 5778476258290 6934171509948 8667714387435 9245562013264 11556952516580 13868343019896 17335428774870 23113905033160 27736686039792 34670857549740 46227810066320 69341715099480 138683430198960
- Sum of all divisors σ(n): 455198917190400
- Sum of proper divisors (its aliquot sum) s(n): 316515486991440
- 138683430198960 is an abundant number, because the sum of its proper divisors (316515486991440) is greater than itself. Its abundance is 177832056792480
Bases of 138683430198960
- Binary: 111111000100001110000001001011111011110101100002
- Hexadecimal: 0x7E21C097DEB0
- Base-36: 1D5QADN1YO
Squares and roots of 138683430198960
- 138683430198960 squared (1386834301989602) is 19233093811749810505185081600
- 138683430198960 cubed (1386834301989603) is 2667311423151854367494842199229511835136000
-
The
square root of 138683430198960 is 11776392.9196914961 -
The
cube root of 138683430198960 is 51761.6595134269
Scales and comparisons
How big is 138683430198960?- 138,683,430,198,960 seconds is equal to 4,409,704 years, 5 weeks, 2 days, 23 hours, 16 minutes.
-
To count from 1 to 138,683,430,198,960 would take you about eleven million, twenty-four thousand, two hundred sixty 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 138683430198960 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138683430198960
- 138683430198960 backwards is 069891034386831
- The number of decimal digits it has is: 15
- The sum of 138683430198960's digits is 69
- More coming soon!
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The information we have on file for 138683430198960 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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