42681424448400

Names of 42681424448400

• Cardinal: 42681424448400 can be written as Forty-two trillion, six hundred eighty-one billion, four hundred twenty-four million, four hundred forty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.26814244484 × 10¹³

Factors of 42681424448400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 358

Divisors of 42681424448400

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 307 328 400 410 492 600 614 615 656 820 921 984 1025 1200 1228 1230 1535 1640 1681 1842 1968 2050 2456 2460 3070 3075 3280 3362 3684 4100 4605 4912 4920 5043 6140 6150 6724 7368 7675 8200 8405 9210 9840 10086 12280 12300 12587 13448 14736 15350 16400 16810 18420 20172 23025 24560 24600 25174 25215 26896 30700 33620 36840 37761 40344 42025 46050 49200 50348 50430 61400 62935 67240 68921 73680 75522 80688 84050 92100 100696 100860 122800 125870 126075 134480 137842 151044 168100 184200 188805 201392 201720 206763 251740 252150 275684 302088 314675 336200 344605 368400 377610 403440 413526 503480 504300 516067 551368 604176 629350 672400 689210 755220 827052 944025 1006960 1008600 1032134 1033815 1102736 1258700 1378420 1510440 1548201 1654104 1723025 1888050 2017200 2064268 2067630 2517400 2580335 2756840 2825761 3020880 3096402 3308208 3446050 3776100 4128536 4135260 5034800 5160670 5169075 5513680 5651522 6192804 6892100 7552200 7741005 8257072 8270520 8477283 10321340 10338150 11303044 12385608 12901675 13784200 14128805 15104400 15482010 16541040 16954566 20642680 20676300 21158747 22606088 24771216 25803350 27568400 28257610 30964020 33909132 38705025 41285360 41352600 42317494 42386415 45212176 51606700 56515220 61928040 63476241 67818264 70644025 77410050 82705200 84634988 84772830 103213400 105793735 113030440 115856201 123856080 126952482 135636528 141288050 154820100 169269976 169545660 206426800 211587470 211932075 226060880 231712402 253904964 282576100 309640200 317381205 338539952 339091320 347568603 423174940 423864150 463424804 507809928 528968675 565152200 579281005 619280400 634762410 678182640 695137206 846349880 847728300 867508627 926849608 1015619856 1057937350 1130304400 1158562010 1269524820 1390274412 1586906025 1692699760 1695456600 1735017254 1737843015 1853699216 2115874700 2317124020 2539049640 2602525881 2780548824 2896405025 3173812050 3390913200 3470034508 3475686030 4231749400 4337543135 4634248040 5078099280 5205051762 5561097648 5792810050 6347624100 6940069016 6951372060 8463498800 8675086270 8689215075 9268496080 10410103524 11585620100 12695248200 13012629405 13880138032 13902744120 17350172540 17378430150 20820207048 21687715675 23171240200 25390496400 26025258810 27805488240 34700345080 34756860300 35567853707 41640414096 43375431350 46342480400 52050517620 65063147025 69400690160 69513720600 71135707414 86750862700 104101035240 106703561121 130126294050 139027441200 142271414828 173501725400 177839268535 208202070480 213407122242 260252588100 284542829656 347003450800 355678537070 426814244484 520505176200 533517805605 569085659312 711357074140 853628488968 889196342675 1041010352400 1067035611210 1422714148280 1707256977936 1778392685350 2134071222420 2667589028025 2845428296560 3556785370700 4268142444840 5335178056050 7113570741400 8536284889680 10670356112100 14227141482800 21340712224200 42681424448400
• Sum of all divisors σ(n): 140597385378912
• Sum of proper divisors (its aliquot sum) s(n): 97915960930512
• 42681424448400 is an abundant number, because the sum of its proper divisors (97915960930512) is greater than itself. Its abundance is 55234536482112

Bases of 42681424448400

• Binary: 1001101101000110001011001001001000101110010000₂
• Hexadecimal: 0x26D18B248B90
• Base-36: F4NKQ44UO

Squares and roots of 42681424448400

• 42681424448400 squared (42681424448400²) is 1821703992944477244262560000
• 42681424448400 cubed (42681424448400³) is 77752921342208312157025487012771904000000
• The square root of 42681424448400 is 6533102.2070988603
• The cube root of 42681424448400 is 34947.2469093621

Scales and comparisons

• 42,681,424,448,400 seconds is equal to 1,357,137 years, 14 weeks, 2 days, 3 hours, 40 minutes.
• To count from 1 to 42,681,424,448,400 would take you about three million, three hundred ninety-two thousand, eight hundred forty-three 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 42681424448400 cubic inches would be around 2912.3 feet tall.

Recreational maths with 42681424448400

• 42681424448400 backwards is 00484442418624
• The number of decimal digits it has is: 14
• The sum of 42681424448400's digits is 51
• More coming soon!