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132313412440420 = 225171133443868101
BaseRepresentation
bin11110000101011010011101…
…111100101001000101100100
3122100111001001012122201211121
4132011122131330221011210
5114320310332041043140
61145223535331143324
736604220464044061
oct3605323574510544
9570431035581747
10132313412440420
1139182891a12312
1212a0b286144b44
1358aa1415c5a23
1424960091dbc68
151046b974a664a
hex78569df29164

132313412440420 has 48 divisors (see below), whose sum is σ = 296806328502768. Its totient is φ = 49371293081600.

The previous prime is 132313412440411. The next prime is 132313412440423. The reversal of 132313412440420 is 24044214313231.

It can be written as a sum of positive squares in 8 ways, for example, as 7061009449536 + 125252402990884 = 2657256^2 + 11191622^2 .

It is a super-2 number, since 2×1323134124404202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (132313412440423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721895631 + ... + 1721972470.

It is an arithmetic number, because the mean of its divisors is an integer number (6183465177141).

Almost surely, 2132313412440420 is an apocalyptic number.

132313412440420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132313412440420 is an abundant number, since it is smaller than the sum of its proper divisors (164492916062348).

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

132313412440420 is a wasteful number, since it uses less digits than its factorization.

132313412440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443868240 (or 3443868238 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 132313412440420 its reverse (24044214313231), we get a palindrome (156357626753651).

The spelling of 132313412440420 in words is "one hundred thirty-two trillion, three hundred thirteen billion, four hundred twelve million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 19210 38420 3443868101 6887736202 13775472404 17219340505 34438681010 58545757717 68877362020 117091515434 234183030868 292728788585 389157095413 585457577170 778314190826 1170915154340 1556628381652 1945785477065 3891570954130 6615670622021 7783141908260 13231341244042 26462682488084 33078353110105 66156706220210 132313412440420