42120713721911296

Names of 42120713721911296

• Cardinal: 42120713721911296 can be written as Forty-two quadrillion, one hundred twenty trillion, seven hundred thirteen billion, seven hundred twenty-one million, nine hundred eleven thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 4.2120713721911296 × 10¹⁶

Factors of 42120713721911296

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2197

Divisors of 42120713721911296

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 256 424 496 512 848 992 1024 1643 1696 1984 2048 2111 2809 3286 3392 3968 4222 5618 6572 6784 7936 8444 11236 13144 13568 15872 16888 22472 26288 27136 31744 33776 44944 52576 54272 63488 65441 67552 87079 89888 105152 108544 111883 130882 135104 148877 174158 179776 210304 223766 261764 270208 297754 348316 359552 420608 447532 523528 540416 595508 696632 719104 841216 895064 1047056 1080832 1191016 1393264 1438208 1682432 1790128 2094112 2161664 2382032 2786528 2876416 3364864 3468373 3580256 4188224 4323328 4456321 4615187 4764064 5573056 5752832 5929799 6936746 7160512 8376448 8912642 9230374 9528128 11146112 11859598 13873492 14321024 16752896 17825284 18460748 19056256 22292224 23719196 27746984 28642048 33505792 35650568 36921496 38112512 44584448 47438392 55493968 57284096 67011584 71301136 73842992 76225024 89168896 94876784 110987936 114568192 134023168 138145951 142602272 147685984 152450048 178337792 183823769 189753568 221975872 229136384 236185013 276291902 285204544 295371968 304900096 314279347 367647538 379507136 443951744 472370026 552583804 570409088 590743936 628558694 735295076 759014272 887903488 944740052 1105167608 1140818176 1181487872 1257117388 1470590152 1518028544 1775806976 1889480104 2210335216 2281636352 2362975744 2514234776 2941180304 3036057088 3551613952 3778960208 4420670432 4563272704 4725951488 5028469552 5882360608 6072114176 7103227904 7321735403 7557920416 8841340864 9126545408 9451902976 9742659757 10056939104 11764721216 12144228352 12517805689 14643470806 15115840832 17682681728 19485319514 20113878208 23529442432 25035611378 29286941612 30231681664 35365363456 38970639028 40227756416 47058884864 50071222756 58573883224 60463363328 70730726912 77941278056 80455512832 94117769728 100142445512 117147766448 120926726656 141461453824 155882556112 160911025664 188235539456 200284891024 234295532896 241853453312 282922907648 311765112224 321822051328 376471078912 388051976359 400569782048 468591065792 483706906624 623530224448 643644102656 663443701517 776103952718 801139564096 937182131584 1247060448896 1326887403034 1552207905436 1602279128192 1874364263168 2494120897792 2653774806068 3104415810872 3204558256384 3748728526336 4988241795584 5307549612136 6208831621744 6409116512768 7497457052672 9976483591168 10615099224272 12417663243488 12818233025536 14994914105344 19952967182336 20566754747027 21230198448544 24835326486976 25636466051072 41133509494054 42460396897088 49670652973952 82267018988108 84920793794176 99341305947904 164534037976216 169841587588352 198682611895808 329068075952432 339683175176704 397365223791616 658136151904864 679366350353408 794730447583232 1316272303809728 1358732700706816 2632544607619456 5265089215238912 10530178430477824 21060356860955648 42120713721911296
• Sum of all divisors σ(n): 88651524572956800
• Sum of proper divisors (its aliquot sum) s(n): 46530810851045504
• 42120713721911296 is an abundant number, because the sum of its proper divisors (46530810851045504) is greater than itself. Its abundance is 4410097129134208

Bases of 42120713721911296

• Binary: 10010101101001001001000011100011000101001001100000000000₂
• Hexadecimal: 0x95A490E3149800
• Base-36: BIQJOR5FBB4

Squares and roots of 42120713721911296

• 42120713721911296 squared (42120713721911296²) is 1774154524443206541704015292399616
• 42120713721911296 cubed (42120713721911296³) is 74728654822505979587896271995999034986233736462336
• The square root of 42120713721911296 is 205233315.3313839931
• The cube root of 42120713721911296 is 347935.3650875607

Scales and comparisons

• 42,120,713,721,911,296 seconds is equal to 1,339,308,408 years, 22 weeks, 4 days, 6 hours, 28 minutes, 16 seconds.
• To count from 1 to 42,120,713,721,911,296 would take you about four billion, seventeen million, nine hundred twenty-five thousand, two hundred twenty-five 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 42120713721911296 cubic inches would be around 28994.6 feet tall.

Recreational maths with 42120713721911296

• 42120713721911296 backwards is 69211912731702124
• The number of decimal digits it has is: 17
• The sum of 42120713721911296's digits is 58
• More coming soon!