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40573903104 = 283473171127
BaseRepresentation
bin100101110010011001…
…001010000100000000
310212201122221211120000
4211302121022010000
51131043404344404
630350035320000
72634313325460
oct456231120400
9125648854500
1040573903104
1116230a01a29
127a44150000
133a97c418b7
141d6c8bdba0
1510c709c339
hex97264a100

40573903104 has 720 divisors, whose sum is σ = 145877630976. Its totient is φ = 10973491200.

The previous prime is 40573903099. The next prime is 40573903141. The reversal of 40573903104 is 40130937504.

It is a super-2 number, since 2×405739031042 (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 319479489 + ... + 319479615.

Almost surely, 240573903104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40573903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72938815488).

40573903104 is an abundant number, since it is smaller than the sum of its proper divisors (105303727872).

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

40573903104 is a wasteful number, since it uses less digits than its factorization.

40573903104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 40573903104 in words is "forty billion, five hundred seventy-three million, nine hundred three thousand, one hundred four".