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12900043440 = 2432517916727
BaseRepresentation
bin11000000001110011…
…10000101010110000
31020022000201002211200
430000321300222300
5202404402342230
65532020411200
7634450363044
oct140071605260
936260632750
1012900043440
11551a813629
122600246b00
1312a7774bcb
148a538a024
155077aa160
hex300e70ab0

12900043440 has 60 divisors (see below), whose sum is σ = 43322648304. Its totient is φ = 3440011392.

The previous prime is 12900043427. The next prime is 12900043447. The reversal of 12900043440 is 4434000921.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×129000434404 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12900043447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8957644 + ... + 8959083.

Almost surely, 212900043440 is an apocalyptic number.

12900043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12900043440 is an abundant number, since it is smaller than the sum of its proper divisors (30422604864).

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

12900043440 is a wasteful number, since it uses less digits than its factorization.

12900043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17916746 (or 17916737 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12900043440 in words is "twelve billion, nine hundred million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17916727 35833454 53750181 71666908 89583635 107500362 143333816 161250543 179167270 215000724 268750905 286667632 322501086 358334540 430001448 537501810 645002172 716669080 806252715 860002896 1075003620 1290004344 1433338160 1612505430 2150007240 2580008688 3225010860 4300014480 6450021720 12900043440