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40132023104 = 264749926737
BaseRepresentation
bin100101011000000011…
…100001001101000000
310211120212111000011002
4211120003201031000
51124142244214404
630234132311132
72620336365545
oct453003411500
9124525430132
1040132023104
1116024531a48
1279401724a8
133a27528b44
141d29d36bcc
15109d3b4c1e
hex9580e1340

40132023104 has 56 divisors (see below), whose sum is σ = 81497424000. Its totient is φ = 19598985216.

The previous prime is 40132023103. The next prime is 40132023137.

40132023104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401320231042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132023103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1487624 + ... + 1514360.

Almost surely, 240132023104 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 40132023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40748712000).

40132023104 is an abundant number, since it is smaller than the sum of its proper divisors (41365400896).

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

40132023104 is a wasteful number, since it uses less digits than its factorization.

40132023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 401320 and 23104, that added together give a palindrome (424424).

The spelling of 40132023104 in words is "forty billion, one hundred thirty-two million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 499 752 998 1504 1996 3008 3992 7984 15968 23453 26737 31936 46906 53474 93812 106948 187624 213896 375248 427792 750496 855584 1256639 1500992 1711168 2513278 5026556 10053112 13341763 20106224 26683526 40212448 53367052 80424896 106734104 213468208 426936416 627062861 853872832 1254125722 2508251444 5016502888 10033005776 20066011552 40132023104