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43144663968 = 2532721401123
BaseRepresentation
bin101000001011100111…
…110101001110100000
311010100211022000111100
4220023213311032200
51201330013221333
631453111514400
73055110410220
oct501347651640
9133324260440
1043144663968
111733004668a
128441088a00
1340b7717c83
1421340b0080
1511c7b04213
hexa0b9f53a0

43144663968 has 72 divisors (see below), whose sum is σ = 140220164448. Its totient is φ = 12327046272.

The previous prime is 43144663937. The next prime is 43144664051. The reversal of 43144663968 is 86936644134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×431446639682 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10698546 + ... + 10702577.

It is an arithmetic number, because the mean of its divisors is an integer number (1947502284).

Almost surely, 243144663968 is an apocalyptic number.

43144663968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43144663968 is an abundant number, since it is smaller than the sum of its proper divisors (97075500480).

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

43144663968 is a wasteful number, since it uses less digits than its factorization.

43144663968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21401146 (or 21401135 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 43144663968 in words is "forty-three billion, one hundred forty-four million, six hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 21401123 42802246 64203369 85604492 128406738 149807861 171208984 192610107 256813476 299615722 342417968 385220214 449423583 513626952 599231444 684835936 770440428 898847166 1027253904 1198462888 1348270749 1540880856 1797694332 2054507808 2396925776 2696541498 3081761712 3595388664 4793851552 5393082996 6163523424 7190777328 10786165992 14381554656 21572331984 43144663968