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42142131044232 = 23331141494003297
BaseRepresentation
bin10011001010011111110101…
…10000000011111110001000
312112012202012120102000010220
421211033322300003332020
521010424041021403412
6225343454442510040
711606445202353042
oct1145177260037610
9175182176360126
1042142131044232
111247841737107a
124887516505320
131a68ca805b02b
14a59993604a92
154d1330a6668c
hex2653fac03f88

42142131044232 has 64 divisors (see below), whose sum is σ = 108761600064000. Its totient is φ = 13593271633920.

The previous prime is 42142131044203. The next prime is 42142131044297. The reversal of 42142131044232 is 23244013124124.

42142131044232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42142131044193 and 42142131044202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8525208 + ... + 12528504.

It is an arithmetic number, because the mean of its divisors is an integer number (1699400001000).

Almost surely, 242142131044232 is an apocalyptic number.

It is an amenable number.

42142131044232 is an abundant number, since it is smaller than the sum of its proper divisors (66619469019768).

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

42142131044232 is a wasteful number, since it uses less digits than its factorization.

42142131044232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017486 (or 4017482 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42142131044232 its reverse (23244013124124), we get a palindrome (65386144168356).

The spelling of 42142131044232 in words is "forty-two trillion, one hundred forty-two billion, one hundred thirty-one million, forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 14149 28298 42447 56596 84894 113192 169788 339576 438619 877238 1315857 1754476 2631714 3508952 4003297 5263428 8006594 10526856 12009891 16013188 24019782 32026376 48039564 96079128 124102207 248204414 372306621 496408828 744613242 992817656 1489226484 2978452968 56642649253 113285298506 169927947759 226570597012 339855895518 453141194024 679711791036 1359423582072 1755922126843 3511844253686 5267766380529 7023688507372 10535532761058 14047377014744 21071065522116 42142131044232