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21133400144 = 2429411110881
BaseRepresentation
bin10011101011101001…
…100001100001010000
32000112211012221221212
4103223221201201100
5321240122301034
613413014035252
71345463636333
oct235351414120
960484187855
1021133400144
118a6528735a
124119648b28
131cba4510cc
141046a3a61a
1583a4ed2ce
hex4eba61850

21133400144 has 40 divisors (see below), whose sum is σ = 43391050920. Its totient is φ = 9953484800.

The previous prime is 21133400107. The next prime is 21133400203. The reversal of 21133400144 is 44100433112.

It can be written as a sum of positive squares in 4 ways, for example, as 1220803600 + 19912596544 = 34940^2 + 141112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536417 + ... + 574464.

It is an arithmetic number, because the mean of its divisors is an integer number (1084776273).

Almost surely, 221133400144 is an apocalyptic number.

It is an amenable number.

21133400144 is an abundant number, since it is smaller than the sum of its proper divisors (22257650776).

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

21133400144 is a wasteful number, since it uses less digits than its factorization.

21133400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110959 (or 1110953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21133400144 its reverse (44100433112), we get a palindrome (65233833256).

The spelling of 21133400144 in words is "twenty-one billion, one hundred thirty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 19024 1110881 2221762 4443524 8887048 17774096 32215549 45546121 64431098 91092242 128862196 182184484 257724392 364368968 515448784 728737936 1320837509 2641675018 5283350036 10566700072 21133400144