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42321220002 = 23224140124329
BaseRepresentation
bin100111011010100010…
…101001000110100010
311001020102211201201200
4213122202221012202
51143133213020002
631235254342030
73025521302025
oct473242510642
9131212751650
1042321220002
1116a48252a86
12825135a916
133cb5c47219
1420969a11bc
15117a69ab1c
hex9da8a91a2

42321220002 has 48 divisors (see below), whose sum is σ = 92309869080. Its totient is φ = 14012928000.

The previous prime is 42321219911. The next prime is 42321220021. The reversal of 42321220002 is 20002212324.

42321220002 is a `hidden beast` number, since 423 + 21 + 220 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39760758801 + 2560461201 = 199401^2 + 50601^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727374 + ... + 1751702.

Almost surely, 242321220002 is an apocalyptic number.

42321220002 is an abundant number, since it is smaller than the sum of its proper divisors (49988649078).

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

42321220002 is a wasteful number, since it uses less digits than its factorization.

42321220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24979 (or 24976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42321220002 its reverse (20002212324), we get a palindrome (62323432326).

The spelling of 42321220002 in words is "forty-two billion, three hundred twenty-one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 241 401 482 723 802 1203 1446 2169 2406 3609 4338 7218 24329 48658 72987 96641 145974 193282 218961 289923 437922 579846 869769 1739538 5863289 9755929 11726578 17589867 19511858 29267787 35179734 52769601 58535574 87803361 105539202 175606722 2351178889 4702357778 7053536667 14107073334 21160610001 42321220002