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42430923936 = 2532373981881
BaseRepresentation
bin100111100001000101…
…001000010010100000
311001112002021021020100
4213201011020102200
51143344304031221
631254213542400
73031322621412
oct474105102240
9131462237210
1042430923936
1116aa4172195
128282044a00
1340028a78ab
1420a739a9b2
15118511a926
hex9e11484a0

42430923936 has 72 divisors (see below), whose sum is σ = 123924131604. Its totient is φ = 13761377280.

The previous prime is 42430923923. The next prime is 42430923943. The reversal of 42430923936 is 63932903424.

42430923936 is a `hidden beast` number, since 42 + 430 + 92 + 3 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40473392400 + 1957531536 = 201180^2 + 44244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 42430923891 and 42430923900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1980285 + ... + 2001596.

Almost surely, 242430923936 is an apocalyptic number.

It is an amenable number.

42430923936 is an abundant number, since it is smaller than the sum of its proper divisors (81493207668).

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

42430923936 is a wasteful number, since it uses less digits than its factorization.

42430923936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981934 (or 3981923 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 42430923936 in words is "forty-two billion, four hundred thirty million, nine hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 3981881 7963762 11945643 15927524 23891286 31855048 35836929 47782572 63710096 71673858 95565144 127420192 143347716 147329597 191130288 286695432 294659194 382260576 441988791 573390864 589318388 883977582 1146781728 1178636776 1325966373 1767955164 2357273552 2651932746 3535910328 4714547104 5303865492 7071820656 10607730984 14143641312 21215461968 42430923936