137906681220

Names of 137906681220

• Cardinal: 137906681220 can be written as One hundred thirty-seven billion, nine hundred six million, six hundred eighty-one thousand, two hundred twenty.

Scientific notation

• Scientific notation: 1.3790668122 × 10¹¹

Factors of 137906681220

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1955

Divisors of 137906681220

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 9 10 11 12 14 15 18 19 20 21 22 27 28 30 31 33 35 36 38 42 44 45 54 55 57 60 62 63 66 70 76 77 81 84 90 93 95 99 105 108 110 114 124 126 132 133 135 140 154 155 162 165 171 180 186 189 190 198 209 210 217 220 228 231 252 266 270 279 285 297 308 310 315 324 330 341 342 372 378 380 385 396 399 405 418 420 434 462 465 495 513 532 540 558 567 570 589 594 620 627 630 651 660 665 682 684 693 756 770 798 810 836 837 855 868 891 924 930 945 990 1023 1026 1045 1085 1116 1134 1140 1155 1178 1188 1197 1254 1260 1302 1330 1364 1386 1395 1463 1485 1539 1540 1596 1620 1674 1705 1710 1767 1782 1860 1877 1881 1890 1953 1980 1995 2046 2052 2079 2090 2170 2268 2310 2356 2387 2394 2508 2511 2565 2604 2660 2772 2790 2835 2926 2945 2970 3069 3078 3135 3255 3348 3410 3420 3465 3534 3564 3591 3754 3762 3780 3906 3990 4092 4123 4158 4180 4185 4340 4389 4455 4620 4774 4788 5022 5115 5130 5301 5580 5631 5643 5670 5852 5859 5890 5940 5985 6138 6156 6237 6270 6479 6510 6820 6930 7068 7161 7182 7315 7508 7524 7695 7812 7980 8246 8316 8370 8778 8835 8910 9207 9385 9405 9548 9765 10044 10230 10260 10395 10602 10773 11262 11286 11340 11718 11780 11935 11970 12276 12369 12474 12540 12555 12958 13020 13139 13167 13860 14322 14364 14630 15345 15390 15903 16492 16740 16893 16929 17556 17577 17670 17820 17955 18414 18770 18810 19437 19530 20460 20615 20647 20790 21204 21483 21546 21945 22524 22572 23436 23870 23940 24738 24948 25110 25916 26278 26334 26505 27621 28155 28215 28644 29260 29295 30690 30780 31185 31806 32395 33786 33858 35154 35340 35663 35805 35910 36828 37107 37540 37620 38874 39060 39417 39501 41230 41294 41580 42966 43092 43890 45353 46035 47709 47740 49476 50220 50679 52556 52668 53010 53865 55242 56310 56430 58187 58311 58590 61380 61845 61941 62370 63612 64449 64790 65695 65835 67572 67716 70308 71326 71610 71820 74214 77748 78834 79002 79515 82460 82588 84465 84645 85932 87780 87885 90706 92070 95418 97185 101358 103235 106020 106989 107415 107730 110484 111321 112620 112860 116374 116622 117180 118251 118503 123690 123882 124740 128898 129580 131390 131670 136059 138105 142652 143220 144529 148428 152037 157668 158004 159030 168930 169290 174561 174933 175770 178315 181412 184140 185535 185823 190836 193347 194370 197085 197505 202716 206470 213978 214830 215460 222642 226765 232748 233244 236502 237006 238545 247380 247764 249641 253395 257796 262780 263340 272118 276210 289058 290935 291555 304074 309705 318060 320967 322245 333963 337860 338580 349122 349866 351540 354753 356630 371070 371646 386694 388740 392293 394170 395010 407309 408177 412940 427956 429660 433587 445284 453530 473004 474012 477090 499282 506790 523683 524799 534945 544236 552420 556605 557469 578116 581870 583110 591255 592515 608148 619410 640057 641934 644490 667926 680295 698244 699732 709506 713260 722645 742140 743292 748923 760185 773388 784586 788340 790020 814618 816354 867174 872805 874665 907060 929115 954180 962901 966735 998564 1013580 1047366 1049598 1064259 1069890 1105553 1113210 1114938 1163740 1166220 1176879 1182510 1185030 1221927 1224531 1238820 1248205 1280114 1283868 1288980 1300761 1335852 1360590 1419012 1445290 1497846 1520370 1569172 1571049 1604835 1629236 1632708 1669815 1672407 1734348 1745610 1749330 1773765 1858230 1920171 1925802 1933470 1961465 2036545 2040885 2094732 2099196 2128518 2139780 2167935 2211106 2226420 2229876 2246769 2353758 2365020 2370060 2443854 2449062 2496410 2560228 2601522 2618415 2623995 2721180 2746051 2787345 2888703 2890580 2995692 3040740 3142098 3200285 3209670 3316659 3339630 3344814 3491220 3498660 3530637 3547530 3665781 3673593 3716460 3744615 3840342 3851604 3866940 3902283 3922930 4073090 4081770 4257036 4335870 4422212 4480399 4493538 4707516 4713147 4814505 4887708 4898124 4992820 5203044 5236830 5247990 5321295 5492102 5527765 5574690 5760513 5777406 5884395 6109635 6122655 6284196 6400570 6419340 6503805 6633318 6679260 6689628 6740307 7061274 7095060 7331562 7347186 7489230 7680684 7738871 7804566 7845860 7855245 8146180 8163540 8238153 8362035 8671740 8960798 8987076 9426294 9600855 9629010 9949977 10473660 10495980 10591911 10642590 10984204 10997343 11055530 11149380 11233845 11521026 11554812 11706849 11768790 12161083 12219270 12245310 12801140 13007610 13266636 13441197 13480614 13730255 14122548 14443515 14663124 14694372 14978460 15477742 15609132 15710490 16476306 16583295 16724070 17281539 17653185 17921596 18328905 18367965 18852588 19201710 19258020 19511415 19899954 20220921 21183822 21285180 21994686 22111060 22401995 22467690 23042052 23216613 23413698 23537580 23565735 24322166 24438540 24490620 24714459 26015220 26882394 26961228 27460510 28802565 28887030 29849931 30955484 31420980 31775733 32952612 32992029 33166590 33448140 33701535 34563078 35306370 36483249 36657810 36735930 38403420 38694355 39022830 39799908 40323591 40441842 41190765 42367644 43989372 44803990 44935380 46433226 46827396 47131470 48644332 49428918 49749885 51844617 52959555 53764788 54921020 54986715 57605130 57774060 58534245 59699862 60805415 63551466 65984058 66333180 67205985 67403070 69126156 69649839 70612740 72966498 73315620 73471860 74143377 77388710 78045660 80647182 80883684 82381530 85127581 86407695 89549793 89607980 92866452 94262940 98857836 99499770 101104605 103689234 105919110 109449747 109973430 115210260 116083065 117068490 119399724 120970773 121610830 123572295 127102932 131968116 134411970 134806140 139299678 145932996 148286754 149249655 154777420 158878665 161294364 164763060 164960145 170255162 172815390 179099586 182416245 198999540 201617955 202209210 207378468 208949517 211838220 218899494 219946860 222430131 232166130 234136980 241941546 243221660 247144590 255382743 259223085 268823940 278599356 296573508 298499310 317757330 328349241 329920290 340510324 345630780 348249195 358199172 362912319 364832490 370716885 403235910 404418420 417899034 425637905 437798988 444860262 447748965 464332260 483883092 494289180 510765486 518446170 547248735 596998620 604853865 626848551 635514660 656698482 659840580 696498390 725824638 729664980 741433770 766148229 806471820 835798068 851275810 889720524 895497930 985047723 1021530972 1036892340 1044747585 1094497470 1112150655 1209707730 1253697102 1276913715 1313396964 1392996780 1451649276 1482867540 1532296458 1641746205 1702551620 1790995860 1814561595 1970095446 2089495170 2188994940 2224301310 2298444687 2419415460 2507394204 2553827430 3064592916 3134242755 3283492410 3629123190 3830741145 3940190892 4178990340 4448602620 4596889374 4925238615 5107654860 6268485510 6566984820 6895334061 7258246380 7661482290 9193778748 9850477230 11492223435 12536971020 13790668122 15322964580 19700954460 22984446870 27581336244 34476670305 45968893740 68953340610 137906681220
• Sum of all divisors σ(n): 586383114240
• Sum of proper divisors (its aliquot sum) s(n): 448476433020
• 137906681220 is an abundant number, because the sum of its proper divisors (448476433020) is greater than itself. Its abundance is 310569751800

Bases of 137906681220

• Binary: 10000000011011111000001111010110000100₂
• Hexadecimal: 0x201BE0F584
• Base-36: 1RCQ2S90

Squares and roots of 137906681220

• 137906681220 squared (137906681220²) is 19018252725114700688400
• 137906681220 cubed (137906681220³) is 2622744115923789315770893351848000
• The square root of 137906681220 is 371357.8883233801
• The cube root of 137906681220 is 5166.4841618687

Scales and comparisons

• 137,906,681,220 seconds is equal to 4,385 years, 2 days, 3 hours, 27 minutes.
• To count from 1 to 137,906,681,220 would take you about eight thousand, seven hundred seventy 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 137906681220 cubic inches would be around 430.5 feet tall.

Recreational maths with 137906681220

• 137906681220 backwards is 022186609731
• 137906681220 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137906681220's digits is 45
• More coming soon!