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41154335040 = 2635713471089
BaseRepresentation
bin100110010100111111…
…010101000101000000
310221020010010211111010
4212110333111011000
51133241002210130
630523412120520
72654562035040
oct462477250500
9127203124433
1041154335040
11164a9605045
127b86606140
133b5b278850
141dc5a11720
15110d0020b0
hex994fd5140

41154335040 has 224 divisors, whose sum is σ = 160818819840. Its totient is φ = 8683094016.

The previous prime is 41154335023. The next prime is 41154335147. The reversal of 41154335040 is 4053345114.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41154334989 and 41154335007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148185 + ... + 322904.

It is an arithmetic number, because the mean of its divisors is an integer number (717941160).

Almost surely, 241154335040 is an apocalyptic number.

41154335040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41154335040 is an abundant number, since it is smaller than the sum of its proper divisors (119664484800).

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

41154335040 is a wasteful number, since it uses less digits than its factorization.

41154335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471129 (or 471119 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 41154335040 in words is "forty-one billion, one hundred fifty-four million, three hundred thirty-five thousand, forty".