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456043652134144 = 281781420516149
BaseRepresentation
bin110011110110001001110111…
…1111000110011010100000000
32012210201100101020011002212221
41213230103233320303110000
5434233304344421243034
64253531321144100424
7165026031556034104
oct14754235770632400
92183640336132787
10456043652134144
11122345032661658
1243194394464714
1316760968bb7a99
1480888b828d904
1537acb1e16bbb4
hex19ec4efe33500

456043652134144 has 18 divisors (see below), whose sum is σ = 910305883752650. Its totient is φ = 228021826066944.

The previous prime is 456043652134097. The next prime is 456043652134159. The reversal of 456043652134144 is 441431256340654.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 412695649567744 + 43348002566400 = 20314912^2 + 6583920^2 .

It is a super-2 number, since 2×4560436521341442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456043652134091 and 456043652134100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 890710257819 + ... + 890710258330.

Almost surely, 2456043652134144 is an apocalyptic number.

It is an amenable number.

456043652134144 is a deficient number, since it is larger than the sum of its proper divisors (454262231618506).

456043652134144 is an equidigital number, since it uses as much as digits as its factorization.

456043652134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781420516165 (or 1781420516151 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 52.

The spelling of 456043652134144 in words is "four hundred fifty-six trillion, forty-three billion, six hundred fifty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 1781420516149 3562841032298 7125682064596 14251364129192 28502728258384 57005456516768 114010913033536 228021826067072 456043652134144