137307135420

Names of 137307135420

• Cardinal: 137307135420 can be written as One hundred thirty-seven billion, three hundred seven million, one hundred thirty-five thousand, four hundred twenty.

Scientific notation

• Scientific notation: 1.3730713542 × 10¹¹

Factors of 137307135420

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2864

Divisors of 137307135420

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 37 39 42 45 52 54 60 63 65 70 74 78 81 84 90 91 105 108 111 117 126 130 135 140 148 156 162 180 182 185 189 195 210 222 234 243 252 259 260 270 273 315 324 333 351 364 370 378 390 405 420 444 455 468 481 486 518 540 546 555 567 585 630 666 702 729 740 756 777 780 810 819 910 945 962 972 999 1036 1053 1092 1110 1134 1170 1215 1260 1295 1332 1365 1404 1443 1458 1554 1620 1638 1665 1701 1755 1820 1890 1924 1998 2106 2220 2268 2331 2340 2405 2430 2457 2590 2730 2797 2835 2886 2916 2997 3108 3159 3276 3330 3367 3402 3510 3645 3780 3885 3996 4095 4212 4329 4662 4810 4860 4914 4995 5103 5180 5265 5460 5594 5670 5772 5994 6318 6660 6734 6804 6993 7020 7215 7290 7371 7770 8190 8391 8505 8658 8991 9324 9477 9620 9828 9990 10101 10206 10530 11188 11340 11655 11988 12285 12636 12987 13468 13985 13986 14430 14580 14742 14985 15540 15795 16380 16782 16835 17010 17316 17982 18954 19579 19980 20202 20412 20979 21060 21645 22113 23310 24570 25173 25515 25974 26973 27970 27972 28860 29484 29970 30303 31590 33564 33670 34020 34965 35964 36361 36855 37908 38961 39158 40404 41955 41958 43290 44226 44955 46620 47385 49140 50346 50505 51030 51948 53946 55940 58737 59940 60606 62937 63180 64935 66339 67340 69930 72722 73710 75519 77922 78316 83910 83916 86580 88452 89910 90909 94770 97895 100692 101010 102060 103489 104895 107892 109083 110565 116883 117474 121212 125865 125874 129870 132678 134865 139860 145444 147420 151038 151515 155844 167820 176211 179820 181805 181818 188811 189540 194805 195790 202020 206978 209790 218166 221130 226557 233766 234948 251730 251748 254527 259740 265356 269730 272727 293685 302076 303030 310467 314685 327249 331695 350649 352422 363610 363636 377595 377622 389610 391580 413956 419580 436332 442260 453114 454545 467532 503460 509054 517445 528633 539460 545415 545454 584415 587370 606060 620934 629370 654498 663390 679671 701298 704844 724423 727220 755190 755244 763581 779220 818181 881055 906228 909090 931401 944055 981747 1018108 1034890 1057266 1090830 1090908 1132785 1168830 1174740 1241868 1258740 1272635 1308996 1326780 1345357 1359342 1363635 1402596 1448846 1510380 1527162 1552335 1585899 1636245 1636362 1753245 1762110 1818180 1862802 1888110 1963494 2039013 2069780 2114532 2173269 2181660 2265570 2290743 2337660 2454543 2545270 2643165 2690714 2718684 2727270 2794203 2897692 2945241 3054324 3104670 3171798 3272490 3272724 3398355 3506490 3524220 3622115 3725604 3776220 3817905 3926988 4036071 4078026 4090905 4346538 4531140 4581486 4657005 4757697 4908735 4909086 5090540 5286330 5381428 5454540 5588406 5890482 6209340 6343596 6519807 6544980 6726785 6796710 6872229 7012980 7244230 7635810 7929495 8072142 8156052 8181810 8382609 8693076 8835723 9162972 9314010 9417499 9515394 9817470 9818172 10195065 10572660 10866345 11176812 11453715 11780964 12108213 12272715 13039614 13453570 13593420 13744458 13971015 14273091 14488460 14726205 15271620 15858990 16144284 16363620 16765218 17671446 18628020 18834998 19030788 19559421 19634940 20180355 20390130 20616687 21732690 22907430 23788485 24216426 24545430 25147827 26079228 26507169 26907140 27488916 27942030 28252497 28546182 29452410 31717980 32599035 33530436 34361145 35342892 36324639 37669996 39118842 40360710 40780260 41233374 41913045 43465380 44178615 45814860 47087495 47576970 48432852 49090860 50295654 53014338 55884060 56504994 57092364 58678263 58904820 60541065 61850061 65198070 68722290 71365455 72649278 75443481 78237684 80721420 82466748 83826090 84757491 88357230 94174990 95153940 97797105 100591308 103083435 106028676 108973917 113009988 117356526 121082130 123700122 125739135 130396140 132535845 137444580 141262485 142730910 145298556 150886962 167652180 169514982 176034789 176714460 181623195 185550183 188349980 195594210 206166870 217947834 234713052 242164260 247400244 251478270 254272473 265071690 282524970 285461820 293391315 301773924 309250305 326921751 339029964 352069578 363246390 371100366 377217405 391188420 412333740 423787455 435895668 502956540 508544946 528104367 530143380 544869585 565049940 586782630 618500610 653843502 704139156 726492780 742200732 754434810 762817419 847574910 880173945 927750915 980765253 1017089892 1056208734 1089739170 1173565260 1237001220 1271362365 1307687004 1508869620 1525634838 1634608755 1695149820 1760347890 1855501830 1961530506 2112417468 2179478340 2288452257 2542724730 2640521835 3051269676 3269217510 3520695780 3711003660 3814087095 3923061012 4576904514 4903826265 5085449460 5281043670 6538435020 6865356771 7628174190 9153809028 9807652530 10562087340 11442261285 13730713542 15256348380 19615305060 22884522570 27461427084 34326783855 45769045140 68653567710 137307135420
• Sum of all divisors σ(n): 546661868928
• Sum of proper divisors (its aliquot sum) s(n): 409354733508
• 137307135420 is an abundant number, because the sum of its proper divisors (409354733508) is greater than itself. Its abundance is 272047598088

Bases of 137307135420

• Binary: 1111111111000001001001001110110111100₂
• Hexadecimal: 0x1FF8249DBC
• Base-36: 1R2T4FR0

Squares and roots of 137307135420

• 137307135420 squared (137307135420²) is 18853249437246218576400
• 137307135420 cubed (137307135420³) is 2588685673587005325952674416088000
• The square root of 137307135420 is 370549.7745512741
• The cube root of 137307135420 is 5158.9862326967

Scales and comparisons

• 137,307,135,420 seconds is equal to 4,365 years, 48 weeks, 6 days, 22 hours, 57 minutes.
• To count from 1 to 137,307,135,420 would take you about eight thousand, seven hundred thirty-one 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 137307135420 cubic inches would be around 429.9 feet tall.

Recreational maths with 137307135420

• 137307135420 backwards is 024531703731
• 137307135420 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137307135420's digits is 36
• More coming soon!