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41307471360 = 2932519127743
BaseRepresentation
bin100110011110000111…
…011111111000000000
310221121210021222000200
4212132013133320000
51134044203040420
630550522245200
72661431466441
oct463607377000
9127553258020
1041307471360
1116577a99691
128009956800
133b83c0515c
141ddc0b52c8
15111b6a0b90
hex99e1dfe00

41307471360 has 480 divisors, whose sum is σ = 151978844160. Its totient is φ = 10339467264.

The previous prime is 41307471329. The next prime is 41307471389. The reversal of 41307471360 is 6317470314.

41307471360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55595149 + ... + 55595891.

It is an arithmetic number, because the mean of its divisors is an integer number (316622592).

Almost surely, 241307471360 is an apocalyptic number.

41307471360 is a gapful number since it is divisible by the number (40) 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 41307471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75989422080).

41307471360 is an abundant number, since it is smaller than the sum of its proper divisors (110671372800).

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

41307471360 is a wasteful number, since it uses less digits than its factorization.

41307471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 41307471360 in words is "forty-one billion, three hundred seven million, four hundred seventy-one thousand, three hundred sixty".