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42514027344 = 24321230124001
BaseRepresentation
bin100111100110000010…
…001001001101010000
311001201212122100200100
4213212002021031100
51144032042333334
631310343052400
73033352161405
oct474602111520
9131655570610
1042514027344
1117037072a98
1282a5a41100
134016b836c9
1420b44302ac
15118c583c99
hex9e6089350

42514027344 has 60 divisors (see below), whose sum is σ = 118994859412. Its totient is φ = 14169600000.

The previous prime is 42514027319. The next prime is 42514027399. The reversal of 42514027344 is 44372041524.

42514027344 is a `hidden beast` number, since 4 + 251 + 40 + 27 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13174448400 + 29339578944 = 114780^2 + 171288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42514027299 and 42514027308.

It is a congruent number.

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, 1759344 + ... + 1783344.

Almost surely, 242514027344 is an apocalyptic number.

It is an amenable number.

42514027344 is an abundant number, since it is smaller than the sum of its proper divisors (76480832068).

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

42514027344 is a wasteful number, since it uses less digits than its factorization.

42514027344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36316 (or 36307 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 42514027344 its reverse (44372041524), we get a palindrome (86886068868).

The spelling of 42514027344 in words is "forty-two billion, five hundred fourteen million, twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12301 24001 24602 36903 48002 49204 72003 73806 96004 98408 110709 144006 147612 192008 196816 216009 221418 288012 295224 384016 432018 442836 576024 590448 864036 885672 1152048 1728072 1771344 3456144 295236301 590472602 885708903 1180945204 1771417806 2361890408 2657126709 3542835612 4723780816 5314253418 7085671224 10628506836 14171342448 21257013672 42514027344