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41507794944 = 2123272112089
BaseRepresentation
bin100110101010000011…
…101011000000000000
310222010202020110022200
4212222003223000000
51140001443414234
631022440033200
72666413302300
oct465203530000
9128122213280
1041507794944
1116670082770
128064a62800
133bb6573815
14201a93d600
15112e070d99
hex9aa0eb000

41507794944 has 468 divisors, whose sum is σ = 152223837480. Its totient is φ = 10776084480.

The previous prime is 41507794943. The next prime is 41507795027. The reversal of 41507794944 is 44949770514.

41507794944 is a `hidden beast` number, since 4 + 1 + 507 + 7 + 94 + 9 + 44 = 666.

It is a super-2 number, since 2×415077949442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41507794943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19868652 + ... + 19870740.

It is an arithmetic number, because the mean of its divisors is an integer number (325264610).

Almost surely, 241507794944 is an apocalyptic number.

41507794944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41507794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111918740).

41507794944 is an abundant number, since it is smaller than the sum of its proper divisors (110716042536).

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

41507794944 is a wasteful number, since it uses less digits than its factorization.

41507794944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 41507794944 in words is "forty-one billion, five hundred seven million, seven hundred ninety-four thousand, nine hundred forty-four".