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42012421024 = 2571311431721
BaseRepresentation
bin100111001000001000…
…101010101110100000
311000102220210010011111
4213020020222232200
51142020134433044
631144503553104
73015051454330
oct471010525640
9130386703144
1042012421024
11168a9a09812
128185a5b794
133c66c88432
14206797b0c0
15115d4eeb34
hex9c822aba0

42012421024 has 48 divisors (see below), whose sum is σ = 95249601216. Its totient is φ = 17867865600.

The previous prime is 42012421019. The next prime is 42012421037.

42012421024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42012420986 and 42012421004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686517 + ... + 745204.

It is an arithmetic number, because the mean of its divisors is an integer number (1984366692).

Almost surely, 242012421024 is an apocalyptic number.

It is an amenable number.

42012421024 is an abundant number, since it is smaller than the sum of its proper divisors (53237180192).

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

42012421024 is a wasteful number, since it uses less digits than its factorization.

42012421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431869 (or 1431861 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The spelling of 42012421024 in words is "forty-two billion, twelve million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 14672 29344 1431721 2863442 5726884 10022047 11453768 20044094 22907536 40088188 45815072 80176376 160352752 187555451 320705504 375110902 750221804 1312888157 1500443608 2625776314 3000887216 5251552628 6001774432 10503105256 21006210512 42012421024