137481326640

Names of 137481326640

• Cardinal: 137481326640 can be written as One hundred thirty-seven billion, four hundred eighty-one million, three hundred twenty-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3748132664 × 10¹¹

Factors of 137481326640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 602

Divisors of 137481326640

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 49 56 60 61 63 70 72 80 84 90 98 105 112 120 122 126 140 144 147 168 180 183 193 196 210 240 244 245 252 280 294 305 315 331 336 360 366 386 392 420 427 441 488 490 504 549 560 579 588 610 630 662 720 732 735 772 784 840 854 882 915 965 976 980 993 1008 1098 1158 1176 1220 1260 1281 1324 1351 1464 1470 1544 1655 1680 1708 1737 1764 1830 1930 1960 1986 2135 2196 2205 2316 2317 2352 2440 2520 2562 2648 2702 2745 2895 2928 2940 2979 2989 3088 3310 3416 3474 3528 3660 3843 3860 3920 3972 4053 4270 4392 4410 4632 4634 4880 4965 5040 5124 5296 5404 5490 5790 5880 5958 5978 6405 6620 6755 6832 6948 6951 7056 7320 7686 7720 7944 8106 8540 8685 8784 8820 8967 9264 9268 9457 9930 10248 10808 10980 11580 11585 11760 11773 11916 11956 12159 12810 13240 13510 13896 13902 14640 14895 14945 15372 15440 15888 16212 16219 17080 17370 17640 17934 18536 18914 19215 19860 20191 20265 20496 20853 21616 21960 23160 23170 23546 23832 23912 24318 25620 26480 26901 27020 27792 27804 28371 29790 29890 30744 32424 32438 34160 34740 34755 35280 35319 35868 37072 37828 38430 39720 40382 40530 41706 43920 44835 46320 46340 47092 47285 47664 47824 48636 48657 51240 53802 54040 55608 56742 58865 59580 59780 60573 60795 61488 63883 64848 64876 69480 69510 70638 71736 75656 76860 79440 80764 81060 81095 82411 83412 85113 89670 92680 94184 94570 97272 97314 100955 102480 104265 105957 107604 108080 111216 113484 117730 119160 119560 121146 121590 127766 129752 134505 138960 139020 141276 141337 141855 143472 145971 151312 153720 161528 162120 162190 164822 166824 170226 176595 179340 181719 185360 188368 189140 191649 194544 194628 201910 208530 211914 215208 226968 235460 238320 239120 242292 243180 243285 247233 255532 259504 269010 278040 282552 282674 283710 291942 302865 307440 319415 323056 324240 324380 329644 333648 340452 353190 358680 363438 378280 383298 389256 403820 412055 417060 423828 424011 425565 430416 447181 453936 470920 484584 486360 486570 494466 511064 529785 538020 556080 565104 565348 567420 574947 576877 583884 605730 638830 648760 659288 680904 706380 706685 717360 726876 729855 741699 756560 766596 778512 807640 824110 834120 847656 848022 851130 894362 908595 941840 958245 969168 972720 973140 988932 989359 1022128 1059570 1076040 1130696 1134840 1149894 1153754 1167768 1211460 1236165 1272033 1277660 1297520 1318576 1341543 1361808 1412760 1413370 1453752 1459710 1483398 1533192 1615280 1648220 1668240 1695312 1696044 1702260 1730631 1788724 1817190 1916490 1946280 1977864 1978718 2119140 2120055 2152080 2235905 2261392 2269680 2299788 2307508 2335536 2422920 2472330 2544066 2555320 2683086 2825520 2826740 2874735 2884385 2907504 2919420 2966796 2968077 3066384 3130267 3296440 3392088 3404520 3461262 3577448 3634380 3708495 3832980 3892560 3896863 3955728 3957436 4024629 4238280 4240110 4471810 4599576 4615016 4845840 4944660 4946795 5088132 5110640 5191893 5366172 5653480 5749470 5768770 5838840 5933592 5936154 6260534 6360165 6592880 6707715 6784176 6809040 6922524 7154896 7268760 7416990 7665960 7793726 7914872 8049258 8476560 8480220 8653155 8904231 8943620 9199152 9230032 9390801 9889320 9893590 10176264 10383786 10732344 11306960 11498940 11537540 11677680 11690589 11867184 11872308 12521068 12720330 13415430 13845048 14537520 14833980 14840385 15331920 15587452 15651335 15829744 16098516 16960440 17306310 17808462 17887240 18781602 19484315 19778640 19787180 20123145 20352528 20767572 21464688 22997880 23075080 23381178 23744616 25042136 25440660 25959465 26830860 27278041 27690096 28172403 29667960 29680770 31174904 31302670 32197032 33920880 34612620 35071767 35616924 35774480 37563204 38968630 39574360 40246290 41535144 44521155 45995760 46150160 46762356 46954005 47489232 50084272 50881320 51918930 53661720 54556082 56344806 58452945 59335920 59361540 62349808 62605340 64394064 69225240 70143534 71233848 75126408 77937260 79148720 80492580 81834123 83070288 89042310 93524712 93908010 101762640 103837860 107323440 109112164 112689612 116905890 118723080 125210680 136390205 138450480 140287068 140862015 142467696 150252816 155874520 160985160 163668246 175358835 178084620 187049424 187816020 190946287 207675720 218224328 225379224 233811780 237446160 245502369 250421360 272780410 280574136 281724030 311749040 321970320 327336492 350717670 356169240 375632040 381892574 409170615 415351440 436448656 450758448 467623560 491004738 545560820 561148272 563448060 572838861 654672984 701435340 712338480 751264080 763785148 818341230 935247120 954731435 982009476 1091121640 1126896120 1145677722 1227511845 1309345968 1402870680 1527570296 1636682460 1718516583 1909462870 1964018952 2182243280 2253792240 2291355444 2455023690 2805741360 2864194305 3055140592 3273364920 3437033166 3818925740 3928037904 4582710888 4910047380 5728388610 6546729840 6874066332 7637851480 8592582915 9165421776 9820094760 11456777220 13748132664 15275702960 17185165830 19640189520 22913554440 27496265328 34370331660 45827108880 68740663320 137481326640
• Sum of all divisors σ(n): 550380014496
• Sum of proper divisors (its aliquot sum) s(n): 412898687856
• 137481326640 is an abundant number, because the sum of its proper divisors (412898687856) is greater than itself. Its abundance is 275417361216

Bases of 137481326640

• Binary: 10000000000010100001101001000000110000₂
• Hexadecimal: 0x2002869030
• Base-36: 1R5OTYK0

Squares and roots of 137481326640

• 137481326640 squared (137481326640²) is 18901115174694373689600
• 137481326640 cubed (137481326640³) is 2598550389192417851390119570944000
• The square root of 137481326640 is 370784.7443463661
• The cube root of 137481326640 is 5161.1669165439

Scales and comparisons

• 137,481,326,640 seconds is equal to 4,371 years, 25 weeks, 1 hour, 24 minutes.
• To count from 1 to 137,481,326,640 would take you about eight thousand, seven hundred forty-two 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 137481326640 cubic inches would be around 430.1 feet tall.

Recreational maths with 137481326640

• 137481326640 backwards is 046623184731
• 137481326640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137481326640's digits is 45
• More coming soon!