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43543014642 = 2345320812437
BaseRepresentation
bin101000100011010111…
…011010110011110010
311011101120212022220000
4220203113122303302
51203134002432032
632000421530430
73101015342361
oct504327326362
9134346768800
1043543014642
1117514995416
128532573a16
13414c0cc92a
142170d657d8
1511eca8de7c
hexa235dacf2

43543014642 has 80 divisors (see below), whose sum is σ = 99498105432. Its totient is φ = 14227799040.

The previous prime is 43543014637. The next prime is 43543014661. The reversal of 43543014642 is 24641034534.

43543014642 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 3 + 0 + 1 + 4 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43338496041 + 204518601 = 208179^2 + 14301^2 .

It is a super-2 number, since 2×435430146422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43543014597 and 43543014606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17866248 + ... + 17868684.

Almost surely, 243543014642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43543014642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49749052716).

43543014642 is an abundant number, since it is smaller than the sum of its proper divisors (55955090790).

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

43543014642 is a wasteful number, since it uses less digits than its factorization.

43543014642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 43543014642 in words is "forty-three billion, five hundred forty-three million, fourteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2081 2437 2862 4162 4293 4874 6243 7311 8586 12486 14622 18729 21933 37458 43866 56187 65799 110293 112374 129161 131598 168561 197397 220586 258322 330879 337122 387483 394794 661758 774966 992637 1162449 1985274 2324898 2977911 3487347 5071397 5955822 6974694 8933733 10142794 10462041 15214191 17867466 20924082 30428382 45642573 91285146 136927719 268784041 273855438 410783157 537568082 806352123 821566314 1612704246 2419056369 4838112738 7257169107 14514338214 21771507321 43543014642