137007982800

Names of 137007982800

• Cardinal: 137007982800 can be written as One hundred thirty-seven billion, seven million, nine hundred eighty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.370079828 × 10¹¹

Factors of 137007982800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 111

Divisors of 137007982800

• Number of divisors d(n): 810
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 36 39 40 45 48 50 52 58 59 60 65 72 75 78 80 87 90 100 104 116 117 118 120 130 144 145 150 156 174 177 180 195 200 208 225 232 234 236 240 260 261 290 295 300 312 325 348 354 360 377 390 400 435 450 464 468 472 520 522 531 580 585 590 600 624 650 696 708 720 725 754 767 780 841 870 885 900 936 944 975 1040 1044 1062 1131 1160 1170 1180 1200 1300 1305 1392 1416 1450 1475 1508 1534 1560 1682 1711 1740 1770 1800 1872 1885 1950 2088 2124 2175 2262 2301 2320 2340 2360 2523 2600 2610 2655 2832 2900 2925 2950 3016 3068 3120 3364 3393 3422 3480 3481 3540 3600 3770 3835 3900 4176 4205 4248 4350 4425 4524 4602 4680 4720 5046 5133 5200 5220 5310 5655 5800 5850 5900 6032 6136 6525 6728 6786 6844 6903 6960 6962 7080 7540 7569 7670 7800 8410 8496 8555 8700 8850 9048 9204 9360 9425 10092 10266 10440 10443 10620 10933 11310 11505 11600 11700 11800 12272 12615 13050 13275 13456 13572 13688 13806 13924 14160 15080 15138 15340 15399 15600 16820 16965 17110 17400 17405 17700 18096 18408 18850 19175 20184 20532 20880 20886 21025 21240 21866 22243 22620 23010 23400 23600 25230 25665 26100 26550 27144 27376 27612 27848 28275 30160 30276 30680 30798 31329 32799 33640 33930 34220 34515 34800 34810 35400 36816 37700 37845 38350 40368 41064 41772 42050 42480 42775 43732 44486 45240 45253 46020 46800 49619 50460 51330 52200 52215 53100 54288 54665 55224 55696 56550 57525 60552 61360 61596 62658 63075 65598 66729 67280 67860 68440 69030 69620 70800 75400 75690 76700 76995 82128 83544 84100 84825 85550 87025 87464 88972 90480 90506 92040 98397 99238 100920 100949 102660 104400 104430 106200 109330 110448 111215 113100 115050 121104 123192 125316 126150 128325 131196 133458 135720 135759 136880 138060 139240 148857 150800 151380 153400 153990 156645 163995 167088 168200 169650 171100 172575 174050 174928 177944 181012 184080 189225 196794 198476 200187 201840 201898 205320 208860 212400 218660 222430 226200 226265 230100 246384 248095 250632 252300 256650 261075 262392 266916 271440 271518 273325 276120 278480 297714 302760 302847 306800 307980 313290 327990 333645 336400 339300 342200 345150 348100 355888 362024 378450 384975 393588 396952 400374 403796 407277 410640 417720 437320 444860 446571 452400 452530 460200 491985 496190 501264 504600 504745 513300 522150 524784 533832 543036 546650 552240 556075 595428 605520 605694 615960 626580 645047 655980 667290 678600 678795 684400 690300 696200 724048 744285 756900 769950 783225 787176 793904 800748 807592 814554 819975 835440 874640 889720 893142 905060 908541 920400 983970 992380 1000935 1009200 1009490 1026600 1044300 1067664 1086072 1093300 1112150 1131325 1190856 1211388 1231920 1240475 1253160 1290094 1311960 1312337 1334580 1357200 1357590 1380600 1392400 1488570 1513800 1514235 1539900 1566450 1574352 1601496 1615184 1629108 1639950 1668225 1779440 1786284 1810120 1817082 1935141 1967940 1984760 2001870 2018980 2036385 2053200 2088600 2172144 2186600 2224300 2232855 2262650 2381712 2422776 2459925 2480950 2506320 2523725 2580188 2623920 2624674 2669160 2715180 2761200 2927521 2977140 3027600 3028470 3079800 3132900 3202992 3225235 3258216 3279900 3336450 3393975 3572568 3620240 3634164 3721425 3870282 3935880 3937011 3969520 4003740 4037960 4072770 4177200 4373200 4448600 4465710 4525300 4542705 4845552 4919850 4961900 5004675 5047450 5160376 5249348 5338320 5430360 5805423 5855042 5954280 6056940 6159600 6265800 6450470 6516432 6559800 6561685 6672900 6787950 7145136 7268328 7442850 7571175 7740564 7871760 7874022 8007480 8075920 8145540 8782563 8897200 8931420 9050600 9085410 9675705 9839700 9923800 10009350 10094900 10181925 10320752 10498696 10860720 11164275 11610846 11710084 11811033 11908560 12113880 12531600 12900940 13119600 13123370 13345800 13575900 14536656 14637605 14885700 15142350 15481128 15748044 16014960 16126175 16291080 17565126 17862840 18101200 18170820 19351410 19679400 19685055 19847600 20018700 20189800 20363850 20997392 22328550 22713525 23221692 23420168 23622066 24227760 25801880 26246740 26347689 26691600 27151800 29027115 29275210 29771400 30284700 30962256 31496088 32252350 32582160 32808425 35130252 35725680 36341640 38057773 38702820 39358800 39370110 40037400 40379600 40727700 43912815 44657100 45427050 46443384 46840336 47244132 48378525 51603760 52493480 52695378 54303600 58054230 58550420 59055165 59542800 60569400 62992176 64504700 65616850 70260504 72683280 73188025 76115546 77405640 78740220 80074800 81455400 87825630 89314200 90854100 92886768 94488264 96757050 98425275 104986960 105390756 114173319 116108460 117100840 118110330 121138800 129009400 131233700 131738445 140521008 145135575 146376050 152231092 154811280 157480440 162910800 175651260 178628400 181708200 188976528 190288865 193514100 196850550 210781512 219564075 228346638 232216920 234201680 236220660 258018800 262467400 263476890 290271150 292752100 295275825 304462184 314960880 342519957 351302520 363416400 380577730 387028200 393701100 421563024 439128150 456693276 464433840 472441320 524934800 526953780 570866595 580542300 585504200 590551650 608924368 658692225 685039914 702605040 761155460 774056400 787402200 878256300 913386552 944882640 951444325 1053907560 1141733190 1161084600 1171008400 1181103300 1317384450 1370079828 1522310920 1574804400 1712599785 1756512600 1826773104 1902888650 2107815120 2283466380 2322169200 2362206600 2634768900 2740159656 2854332975 3044621840 3425199570 3513025200 3805777300 4566932760 4724413200 5269537800 5480319312 5708665950 6850399140 7611554600 8562998925 9133865520 10539075600 11417331900 13700798280 15223109200 17125997850 22834663800 27401596560 34251995700 45669327600 68503991400 137007982800
• Sum of all divisors σ(n): 539434672322
• Sum of proper divisors (its aliquot sum) s(n): 402426689522
• 137007982800 is an abundant number, because the sum of its proper divisors (402426689522) is greater than itself. Its abundance is 265418706722

Bases of 137007982800

• Binary: 1111111100110010011111110100011010000₂
• Hexadecimal: 0x1FE64FE8D0
• Base-36: 1QXV0K40

Squares and roots of 137007982800

• 137007982800 squared (137007982800²) is 18771187350925095840000
• 137007982800 cubed (137007982800³) is 2571802513711123094935071552000000
• The square root of 137007982800 is 370145.8939391331
• The cube root of 137007982800 is 5155.2368610871

Scales and comparisons

• 137,007,982,800 seconds is equal to 4,356 years, 22 weeks, 2 days, 13 hours.
• To count from 1 to 137,007,982,800 would take you about eight thousand, seven hundred twelve 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 137007982800 cubic inches would be around 429.6 feet tall.

Recreational maths with 137007982800

• 137007982800 backwards is 008289700731
• 137007982800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137007982800's digits is 45
• More coming soon!