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13554405040 = 2451115402733
BaseRepresentation
bin11001001111110011…
…11100111010110000
31021222122000010012111
430213321330322300
5210224411430130
610120553535104
7656614353601
oct144771747260
937878003174
1013554405040
115826121140
122763414494
1313801c5217
14928243da8
15544e6502a
hex327e7ceb0

13554405040 has 40 divisors (see below), whose sum is σ = 34378902288. Its totient is φ = 4928874240.

The previous prime is 13554405037. The next prime is 13554405043. The reversal of 13554405040 is 4050445531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13554405037) and next prime (13554405043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13554404993 and 13554405011.

It is not an unprimeable number, because it can be changed into a prime (13554405043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7700487 + ... + 7702246.

Almost surely, 213554405040 is an apocalyptic number.

13554405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13554405040 is an abundant number, since it is smaller than the sum of its proper divisors (20824497248).

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

13554405040 is a wasteful number, since it uses less digits than its factorization.

13554405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15402757 (or 15402751 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 13554405040 in words is "thirteen billion, five hundred fifty-four million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 15402733 30805466 61610932 77013665 123221864 154027330 169430063 246443728 308054660 338860126 616109320 677720252 847150315 1232218640 1355440504 1694300630 2710881008 3388601260 6777202520 13554405040