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42054408320 = 27565710013
BaseRepresentation
bin100111001010101000…
…110101100010000000
311000112211210021220112
4213022220311202000
51142111412031240
631153003530452
73016101400301
oct471250654200
9130484707815
1042054408320
1116920687461
128197b29a28
133c728996a2
14206d38a7a8
151162045665
hex9caa35880

42054408320 has 32 divisors (see below), whose sum is σ = 100536321420. Its totient is φ = 16821763072.

The previous prime is 42054408311. The next prime is 42054408337. The reversal of 42054408320 is 2380445024.

It can be written as a sum of positive squares in 2 ways, for example, as 41612736064 + 441672256 = 203992^2 + 21016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32854367 + ... + 32855646.

Almost surely, 242054408320 is an apocalyptic number.

42054408320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42054408320 is an abundant number, since it is smaller than the sum of its proper divisors (58481913100).

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

42054408320 is an equidigital number, since it uses as much as digits as its factorization.

42054408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65710032 (or 65710020 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 42054408320 in words is "forty-two billion, fifty-four million, four hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 65710013 131420026 262840052 328550065 525680104 657100130 1051360208 1314200260 2102720416 2628400520 4205440832 5256801040 8410881664 10513602080 21027204160 42054408320