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42055641320 = 23571159231431
BaseRepresentation
bin100111001010101101…
…100010100011101000
311000112221002221021012
4213022231202203220
51142112221010240
631153050203052
73016115024120
oct471255424350
9130487087235
1042055641320
1116921349870
128198423488
133c72c0b984
14206d5cbc80
1511621dab65
hex9cab628e8

42055641320 has 128 divisors (see below), whose sum is σ = 119974348800. Its totient is φ = 12886022400.

The previous prime is 42055641317. The next prime is 42055641347. The reversal of 42055641320 is 2314655024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66005 + ... + 297435.

It is an arithmetic number, because the mean of its divisors is an integer number (937299600).

Almost surely, 242055641320 is an apocalyptic number.

42055641320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42055641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59987174400).

42055641320 is an abundant number, since it is smaller than the sum of its proper divisors (77918707480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42055641320 is a wasteful number, since it uses less digits than its factorization.

42055641320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231519 (or 231515 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 42055641320 in words is "forty-two billion, fifty-five million, six hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 59 70 77 88 110 118 140 154 220 236 280 295 308 385 413 440 472 590 616 649 770 826 1180 1298 1540 1652 2065 2360 2596 3080 3245 3304 4130 4543 5192 6490 8260 9086 12980 16520 18172 22715 25960 36344 45430 90860 181720 231431 462862 925724 1157155 1620017 1851448 2314310 2545741 3240034 4628620 5091482 6480068 8100085 9257240 10182964 12728705 12960136 13654429 16200170 17820187 20365928 25457410 27308858 32400340 35640374 50914820 54617716 64800680 68272145 71280748 89100935 95581003 101829640 109235432 136544290 142561496 150198719 178201870 191162006 273088580 300397438 356403740 382324012 477905015 546177160 600794876 712807480 750993595 764648024 955810030 1051391033 1201589752 1501987190 1911620060 2102782066 3003974380 3823240120 4205564132 5256955165 6007948760 8411128264 10513910330 21027820660 42055641320