137306949120

Names of 137306949120

• Cardinal: 137306949120 can be written as One hundred thirty-seven billion, three hundred six million, nine hundred forty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3730694912 × 10¹¹

Factors of 137306949120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3579

Divisors of 137306949120

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 44 45 48 51 54 55 60 64 66 68 72 80 81 85 88 90 96 99 102 108 110 120 128 132 135 136 144 153 160 162 165 170 176 180 187 192 198 204 216 220 240 255 256 264 270 272 288 297 306 320 324 330 340 352 360 374 384 396 405 408 432 440 459 480 495 510 512 528 540 544 561 576 594 612 640 648 660 680 704 720 748 765 768 792 810 816 864 880 891 918 935 960 990 1020 1056 1080 1088 1122 1152 1188 1224 1280 1296 1320 1360 1377 1408 1440 1485 1496 1530 1536 1584 1620 1632 1683 1728 1760 1782 1836 1870 1920 1980 2040 2112 2160 2176 2244 2295 2304 2376 2448 2560 2592 2640 2720 2754 2805 2816 2880 2970 2992 3060 3168 3240 3264 3366 3456 3520 3541 3564 3672 3740 3840 3960 4080 4224 4320 4352 4455 4488 4590 4608 4752 4896 5049 5184 5280 5440 5508 5610 5632 5760 5940 5984 6120 6336 6480 6528 6732 6885 6912 7040 7082 7128 7344 7480 7680 7920 8160 8415 8448 8640 8704 8910 8976 9180 9504 9792 10098 10368 10560 10623 10880 11016 11220 11520 11880 11968 12240 12672 12960 13056 13464 13770 13824 14080 14164 14256 14688 14960 15147 15840 16320 16830 16896 17280 17705 17820 17952 18360 19008 19584 20196 20736 21120 21246 21760 22032 22440 23040 23760 23936 24480 25245 25344 25920 26112 26928 27540 28160 28328 28512 29376 29920 30294 31680 31869 32640 33660 34560 35410 35640 35904 36720 38016 38951 39168 40392 41472 42240 42492 43520 44064 44880 47520 47872 48960 50490 50688 51840 53115 53856 55080 56656 57024 58752 59840 60197 60588 63360 63738 65280 67320 69120 70820 71280 71808 73440 75735 76032 77902 78336 80784 84480 84984 88128 89760 95040 95607 95744 97920 100980 103680 106230 107712 110160 113312 114048 116853 117504 119680 120394 121176 126720 127476 130560 134640 141640 142560 143616 146880 151470 152064 155804 159345 161568 169968 176256 179520 180591 190080 191214 194755 195840 201960 207360 212460 215424 220320 226624 228096 233706 235008 239360 240788 242352 253440 254952 269280 283280 285120 286821 287232 293760 300985 302940 311608 318690 323136 339936 350559 352512 359040 361182 380160 382428 389510 391680 403920 424920 430848 440640 453248 456192 467412 478035 478720 481576 484704 509904 538560 541773 566560 570240 573642 584265 587520 601970 605880 623216 637380 646272 662167 679872 701118 705024 718080 722364 760320 764856 779020 807840 849840 861696 881280 902955 906496 934824 956070 963152 969408 1019808 1051677 1077120 1083546 1133120 1140480 1147284 1168530 1175040 1203940 1211760 1246432 1274760 1292544 1324334 1359744 1402236 1434105 1436160 1444728 1529712 1558040 1615680 1625319 1699680 1752795 1762560 1805910 1812992 1869648 1912140 1926304 1938816 1986501 2039616 2103354 2154240 2167092 2266240 2280960 2294568 2337060 2407880 2423520 2492864 2549520 2585088 2648668 2708865 2719488 2804472 2868210 2889456 3059424 3116080 3155031 3231360 3250638 3310835 3399360 3505590 3525120 3611820 3739296 3824280 3852608 3877632 3973002 4079232 4206708 4308480 4334184 4532480 4589136 4674120 4815760 4847040 4875957 4985728 5099040 5258385 5297336 5417730 5438976 5608944 5736420 5778912 5959503 6118848 6232160 6310062 6462720 6501276 6621670 6798720 7011180 7223640 7478592 7648560 7705216 7755264 7946004 8126595 8158464 8413416 8668368 9064960 9178272 9348240 9631520 9694080 9751914 9932505 9971456 10198080 10516770 10594672 10835460 11217888 11472840 11557824 11919006 12237696 12464320 12620124 12925440 13002552 13243340 13597440 14022360 14447280 14957184 15297120 15410432 15775155 15892008 16253190 16316928 16826832 17336736 17878509 18356544 18696480 19263040 19388160 19503828 19865010 19942912 20396160 21033540 21189344 21670920 22435776 22945680 23115648 23838012 24379785 24475392 24928640 25240248 26005104 26486680 27194880 28044720 28894560 29797515 29914368 30594240 30820864 31550310 31784016 32506380 33653664 34673472 35757018 36713088 37392960 38526080 38776320 39007656 39730020 40792320 42067080 42378688 43341840 44871552 45891360 46231296 47676024 48759570 48950784 49857280 50480496 52010208 52973360 53635527 56089440 57789120 59595030 59828736 61188480 63100620 63568032 65012760 67307328 69346944 71514036 73426176 74785920 77052160 78015312 79460040 81584640 84134160 84757376 86683680 89392545 89743104 91782720 92462592 95352048 97519140 99714560 100960992 104020416 105946720 107271054 112178880 115578240 119190060 122376960 126201240 127136064 130025520 134614656 138693888 143028072 146852352 149571840 154104320 156030624 158920080 168268320 169514752 173367360 178785090 179486208 183565440 190704096 195038280 201921984 208040832 211893440 214542108 224357760 231156480 238380120 244753920 252402480 254272128 260051040 268177635 269229312 277387776 286056144 299143680 312061248 317840160 336536640 339029504 346734720 357570180 367130880 381408192 390076560 403843968 416081664 423786880 429084216 448715520 462312960 476760240 504804960 508544256 520102080 536355270 538458624 572112288 624122496 635680320 673073280 693469440 715140360 734261760 762816384 780153120 807687936 832163328 847573760 858168432 897431040 953520480 1009609920 1017088512 1040204160 1072710540 1144224576 1248244992 1271360640 1346146560 1386938880 1430280720 1525632768 1560306240 1615375872 1695147520 1716336864 1907040960 2019219840 2080408320 2145421080 2288449152 2496489984 2542721280 2692293120 2860561440 3051265536 3120612480 3432673728 3814081920 4038439680 4160816640 4290842160 4576898304 5085442560 5721122880 6241224960 6865347456 7628163840 8076879360 8581684320 9153796608 11442245760 12482449920 13730694912 15256327680 17163368640 22884491520 27461389824 34326737280 45768983040 68653474560 137306949120
• Sum of all divisors σ(n): 568217444256
• Sum of proper divisors (its aliquot sum) s(n): 430910495136
• 137306949120 is an abundant number, because the sum of its proper divisors (430910495136) is greater than itself. Its abundance is 293603546016

Bases of 137306949120

• Binary: 1111111111000001000011100011000000000₂
• Hexadecimal: 0x1FF821C600
• Base-36: 1R2T0G00

Squares and roots of 137306949120

• 137306949120 squared (137306949120²) is 18853198276642268774400
• 137306949120 cubed (137306949120³) is 2588675136520191683047905558528000
• The square root of 137306949120 is 370549.5231679567
• The cube root of 137306949120 is 5158.9838994373

Scales and comparisons

• 137,306,949,120 seconds is equal to 4,365 years, 48 weeks, 4 days, 19 hours, 12 minutes.
• To count from 1 to 137,306,949,120 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 137306949120 cubic inches would be around 429.9 feet tall.

Recreational maths with 137306949120

• 137306949120 backwards is 021949603731
• 137306949120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137306949120's digits is 45
• More coming soon!