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41245003008 = 2834111931307
BaseRepresentation
bin100110011010011001…
…001100110100000000
310221110102202020120000
4212122121030310000
51133432210044013
630540411320000
72660042512116
oct463231146400
9127412666500
1041245003008
1116545802250
127bb0a50000
133b73ca2831
141dd3a93ab6
151115e61973
hex99a64cd00

41245003008 has 720 divisors, whose sum is σ = 146257520640. Its totient is φ = 11421388800.

The previous prime is 41245002899. The next prime is 41245003013. The reversal of 41245003008 is 80030054214.

41245003008 is a `hidden beast` number, since 4 + 124 + 500 + 30 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134348391 + ... + 134348697.

Almost surely, 241245003008 is an apocalyptic number.

41245003008 is a gapful number since it is divisible by the number (48) 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 41245003008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73128760320).

41245003008 is an abundant number, since it is smaller than the sum of its proper divisors (105012517632).

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

41245003008 is a wasteful number, since it uses less digits than its factorization.

41245003008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 41245003008 in words is "forty-one billion, two hundred forty-five million, three thousand, eight".