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40157275104 = 2532711963873
BaseRepresentation
bin100101011001100011…
…110110001111100000
310211122121222221101100
4211121203312033200
51124220230300404
630240433434400
72621064130542
oct453143661740
9124577887340
1040157275104
111603780a171
12794870ba00
133a2c82a95b
141d2d42b692
1510a0701d39
hex9598f63e0

40157275104 has 72 divisors (see below), whose sum is σ = 115805722032. Its totient is φ = 13197219840.

The previous prime is 40157275099. The next prime is 40157275121.

40157275104 is a `hidden beast` number, since 4 + 0 + 1 + 572 + 75 + 10 + 4 = 666.

40157275104 is nontrivially palindromic in base 10.

40157275104 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 (72).

It is a super-2 number, since 2×401572751042 (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 11 ways as a sum of consecutive naturals, for example, 961489 + ... + 1002384.

It is an arithmetic number, because the mean of its divisors is an integer number (1608412806).

Almost surely, 240157275104 is an apocalyptic number.

It is an amenable number.

40157275104 is an abundant number, since it is smaller than the sum of its proper divisors (75648446928).

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

40157275104 is a wasteful number, since it uses less digits than its factorization.

40157275104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963960 (or 1963949 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 40157275104 in words is "forty billion, one hundred fifty-seven million, two hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 1963873 3927746 5891619 7855492 11783238 15710984 17674857 23566476 31421968 35349714 47132952 62843936 70699428 94265904 139434983 141398856 188531808 278869966 282797712 418304949 557739932 565595424 836609898 1115479864 1254914847 1673219796 2230959728 2509829694 3346439592 4461919456 5019659388 6692879184 10039318776 13385758368 20078637552 40157275104