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41316046128 = 2432740988141
BaseRepresentation
bin100110011110101000…
…001101010100110000
310221122101102121101200
4212132220031110300
51134103401434003
630551430131200
72661564411660
oct463650152460
9127571377350
1041316046128
1116581915a75
1280107b0b00
133b85918096
141ddd2a81a0
15111c2e66a3
hex99ea0d530

41316046128 has 60 divisors (see below), whose sum is σ = 132145769808. Its totient is φ = 11804584320.

The previous prime is 41316046097. The next prime is 41316046133. The reversal of 41316046128 is 82164061314.

41316046128 is a `hidden beast` number, since 4 + 1 + 31 + 6 + 0 + 4 + 612 + 8 = 666.

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 = 41316046092 and 41316046101.

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, 20493063 + ... + 20495078.

Almost surely, 241316046128 is an apocalyptic number.

41316046128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41316046128 is an abundant number, since it is smaller than the sum of its proper divisors (90829723680).

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

41316046128 is a wasteful number, since it uses less digits than its factorization.

41316046128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40988162 (or 40988153 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41316046128 in words is "forty-one billion, three hundred sixteen million, forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 40988141 81976282 122964423 163952564 245928846 286916987 327905128 368893269 491857692 573833974 655810256 737786538 860750961 983715384 1147667948 1475573076 1721501922 1967430768 2295335896 2582252883 2951146152 3443003844 4590671792 5164505766 5902292304 6886007688 10329011532 13772015376 20658023064 41316046128