137997296514
137,997,296,514 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137997296514 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
137997296514 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137997296514:
2 × 33 × 7 × 11 × 19 × 292 × 31 × 67
(2 × 3 × 3 × 3 × 7 × 11 × 19 × 29 × 29 × 31 × 67)See below for interesting mathematical facts about the number 137997296514 from the Numbermatics database.
Names of 137997296514
- Cardinal: 137997296514 can be written as One hundred thirty-seven billion, nine hundred ninety-seven million, two hundred ninety-six thousand, five hundred fourteen.
Scientific notation
- Scientific notation: 1.37997296514 × 1011
Factors of 137997296514
Divisors of 137997296514
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 7 9 11 14 18 19 21 22 27 29 31 33 38 42 54 57 58 62 63 66 67 77 87 93 99 114 126 133 134 154 171 174 186 189 198 201 203 209 217 231 261 266 279 297 319 341 342 378 399 402 406 418 434 462 469 513 522 551 558 589 594 603 609 627 638 651 682 693 737 783 798 837 841 899 938 957 1023 1026 1102 1178 1197 1206 1218 1254 1273 1302 1386 1407 1463 1474 1566 1653 1674 1682 1767 1798 1809 1827 1881 1914 1943 1953 2046 2077 2079 2211 2233 2387 2394 2523 2546 2697 2814 2871 2926 3069 3306 3534 3591 3618 3654 3762 3819 3857 3886 3906 4123 4154 4158 4221 4389 4422 4466 4774 4959 5046 5159 5301 5394 5481 5643 5742 5829 5859 5887 6061 6138 6231 6293 6479 6633 6699 7161 7182 7569 7638 7714 8091 8246 8442 8613 8778 8911 9207 9251 9889 9918 10318 10602 10962 11286 11457 11571 11658 11718 11774 12122 12369 12462 12586 12663 12958 13167 13266 13398 13601 14003 14322 14539 14877 15138 15477 15903 15979 16182 17081 17226 17487 17661 17822 18183 18414 18502 18693 18879 19437 19778 19899 20097 21373 21483 22707 22847 22914 23142 24273 24738 25326 26071 26334 26733 27202 27753 28006 29078 29667 29754 30954 31806 31958 34162 34371 34713 34974 35322 36366 36917 37107 37386 37758 38874 39463 39501 39798 40194 40803 42009 42427 42746 42966 43617 45353 45414 45694 46431 47937 48546 51243 52142 52461 52983 53466 54549 55506 56079 56347 56637 58311 59334 60233 60291 64119 64449 64757 68541 68742 69223 69426 73834 74214 78213 78926 79002 80199 81606 83259 84018 84854 87234 89001 90706 92862 95874 98021 102486 104139 104922 105966 109098 110751 111321 111853 112158 112694 113274 116622 118389 119567 120466 120582 122409 126027 127281 128238 128898 129514 130851 136059 137082 138446 139293 143811 149611 153729 156426 158949 159929 160398 163647 166518 169041 169911 174933 175769 178002 180699 182497 187891 192357 194271 196042 205623 207669 208278 221502 222642 223706 234639 236778 239134 240597 244818 249777 252054 254562 258419 261702 267003 272118 276241 278586 286781 287622 294063 299222 307458 317898 319858 327294 332253 335559 338082 339822 349866 351538 355167 358701 361398 364994 367227 375782 378081 381843 384714 388542 392553 394429 406087 408177 411246 415338 421631 431433 434093 448833 461187 469278 479787 481194 495349 499554 507123 516838 527307 534006 542097 547491 552482 563673 573562 577071 582813 588126 616869 619817 623007 662563 664506 671118 703917 710334 717402 734454 756162 763686 775257 785106 788858 812174 816354 828723 843262 860343 862866 868186 882189 897666 922374 959574 990698 996759 1006677 1014246 1054614 1065501 1070593 1076103 1084194 1094982 1127346 1144427 1145529 1154142 1165626 1183287 1218261 1224531 1230383 1233738 1239634 1246014 1264893 1302279 1315237 1325126 1346499 1407834 1439361 1486047 1521369 1550514 1581921 1626291 1642473 1657446 1691019 1720686 1746757 1748439 1764378 1859451 1869021 1987689 1993518 2007467 2013354 2131002 2141186 2152206 2288854 2291058 2325771 2366574 2436522 2449062 2460766 2486169 2529786 2581029 2604558 2630474 2646567 2692998 2842609 2878722 2972094 3020031 3038651 3042738 3163842 3211779 3228309 3252582 3284946 3382038 3433281 3467443 3493514 3496878 3549861 3654783 3691149 3718902 3738042 3794679 3906837 3945711 3975378 4014934 4039497 4318083 4338719 4458141 4637941 4651542 4745763 4927419 4972338 5073057 5162058 5240271 5293134 5448839 5578353 5685218 5963067 6022401 6040062 6077302 6423558 6456618 6866562 6934886 6977313 7099722 7309566 7382298 7458507 7494151 7589358 7743087 7813674 7891422 8010989 8078994 8527827 8636166 8677438 8916282 9115953 9275882 9491526 9635337 9854838 10146114 10299843 10402329 10480542 10649583 10897678 10964349 11073447 11156706 11384037 11720511 11776523 11837133 11926134 12044802 12227299 12588697 13016157 13374423 13913823 13954626 14917014 14988302 15486174 15720813 16021978 16346517 16735059 17055654 17889201 18067203 18231906 19214327 19270674 20599686 20804658 21299166 21928698 22146894 22482453 22768074 23441022 23553046 23674266 24032967 24454598 25177394 25583481 26032314 26748846 27347859 27827646 28906011 30899529 31206987 31441626 32693034 33188383 33220341 33470118 35329569 35511399 35778402 36134406 36681897 37766091 38141873 38428654 39048471 41741469 44964906 47162439 48065934 49039551 51166962 54201609 54695718 57642981 57812022 61799058 62413974 66376766 66440682 67447359 70659138 71022798 72098901 73363794 75532182 76283746 76750443 78096942 82043577 82435661 83482938 88120879 93620961 94324878 98079102 99565149 105988707 108403218 110045691 113298273 114425619 115285962 117145413 125224407 134500289 134894718 144197802 147118653 153500886 164087154 164871322 172928943 176241758 187241922 199130298 202342077 211977414 216296703 220091382 226596546 228851238 232318681 234290826 247306983 250448814 264362637 269000578 294237306 298695447 317966121 330137073 339894819 343276857 345857886 365072213 403500867 404684154 432593406 464637362 494613966 518786829 528725274 597390894 635932242 660274146 679789638 686553714 696956043 730144426 741920949 793087911 807001734 896086341 1029830571 1037573658 1095216639 1210502601 1393912086 1483841898 1586175822 1792172682 2059661142 2090868129 2190433278 2225762847 2379263733 2421005202 2555505491 3285649917 3631507803 4181736258 4451525694 4758527466 5111010982 6272604387 6571299834 7263015606 7666516473 9856949751 12545208774 15333032946 19713899502 22999549419 45999098838 68998648257 137997296514
- Sum of all divisors σ(n): 436676198400
- Sum of proper divisors (its aliquot sum) s(n): 298678901886
- 137997296514 is an abundant number, because the sum of its proper divisors (298678901886) is greater than itself. Its abundance is 160681605372
Bases of 137997296514
- Binary: 100000001000010100011110100011100000102
- Hexadecimal: 0x202147A382
- Base-36: 1RE80ZGI
Squares and roots of 137997296514
- 137997296514 squared (1379972965142) is 19043253845172836552196
- 137997296514 cubed (1379972965143) is 2627917547463686573271848849844744
-
The
square root of 137997296514 is 371479.8736324755 -
The
cube root of 137997296514 is 5167.6155065699
Scales and comparisons
How big is 137997296514?- 137,997,296,514 seconds is equal to 4,387 years, 46 weeks, 22 hours, 21 minutes, 54 seconds.
-
To count from 1 to 137,997,296,514 would take you about eight thousand, seven hundred seventy-five 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 137997296514 cubic inches would be around 430.6 feet tall.
Recreational maths with 137997296514
- 137997296514 backwards is 415692799731
- 137997296514 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137997296514's digits is 63
- More coming soon!
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The information we have on file for 137997296514 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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