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133413042532400 = 24522576571294483
BaseRepresentation
bin11110010101011010100101…
…000000100011000000110000
3122111101011101022200020011022
4132111122211000203000300
5114441314402342014100
61151425034452235012
740046526364440431
oct3625324500430060
9574334338606138
10133413042532400
11395671764909a4
1212b6841200ba68
135959a468674c7
1424d33234d5488
1510655a5739e85
hex7956a5023030

133413042532400 has 60 divisors (see below), whose sum is σ = 320526326291592. Its totient is φ = 53364968670720.

The previous prime is 133413042532387. The next prime is 133413042532409. The reversal of 133413042532400 is 4235240314331.

It is not an unprimeable number, because it can be changed into a prime (133413042532409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102415559 + ... + 103710041.

Almost surely, 2133413042532400 is an apocalyptic number.

133413042532400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133413042532400 is an abundant number, since it is smaller than the sum of its proper divisors (187113283759192).

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

133413042532400 is a wasteful number, since it uses less digits than its factorization.

133413042532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552158 (or 1552147 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 133413042532400 its reverse (4235240314331), we get a palindrome (137648282846731).

The spelling of 133413042532400 in words is "one hundred thirty-three trillion, four hundred thirteen billion, forty-two million, five hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 257657 515314 1030628 1288285 1294483 2061256 2576570 2588966 4122512 5153140 5177932 6441425 6472415 10306280 10355864 12882850 12944830 20612560 20711728 25765700 25889660 32362075 51531400 51779320 64724150 103062800 103558640 129448300 258896600 517793200 333532606331 667065212662 1334130425324 1667663031655 2668260850648 3335326063310 5336521701296 6670652126620 8338315158275 13341304253240 16676630316550 26682608506480 33353260633100 66706521266200 133413042532400