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41234334048 = 2532314618541
BaseRepresentation
bin100110011001110000…
…100000000101100000
310221102200200012111100
4212121300200011200
51133421442142143
630535350514400
72656553025225
oct463160400540
9127380605440
1041234334048
111653a785526
127ba9365a00
133b71a0863b
141dd24b794c
1511150556d3
hex999c20160

41234334048 has 72 divisors (see below), whose sum is σ = 121042748736. Its totient is φ = 13301395200.

The previous prime is 41234334047. The next prime is 41234334083. The reversal of 41234334048 is 84043343214.

41234334048 is a `hidden beast` number, since 41 + 234 + 3 + 340 + 48 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41234334047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2300343 + ... + 2318198.

It is an arithmetic number, because the mean of its divisors is an integer number (1681149288).

Almost surely, 241234334048 is an apocalyptic number.

41234334048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41234334048 is an abundant number, since it is smaller than the sum of its proper divisors (79808414688).

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

41234334048 is a wasteful number, since it uses less digits than its factorization.

41234334048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618588 (or 4618577 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 41234334048 in words is "forty-one billion, two hundred thirty-four million, three hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 4618541 9237082 13855623 18474164 27711246 36948328 41566869 55422492 73896656 83133738 110844984 143174771 147793312 166267476 221689968 286349542 332534952 429524313 443379936 572699084 665069904 859048626 1145398168 1288572939 1330139808 1718097252 2290796336 2577145878 3436194504 4581592672 5154291756 6872389008 10308583512 13744778016 20617167024 41234334048