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13432455441540 = 2232574624752453
BaseRepresentation
bin1100001101110111110010…
…1111000010110010000100
31202120010111220201011012200
43003131330233002302010
53230034132043112130
644322441305314500
72554314524245062
oct303357457026204
952503456634180
1013432455441540
114309743a05753
12160b372195a30
137658a12b9625
143461c47a5032
15184620532760
hexc377cbc2c84

13432455441540 has 36 divisors (see below), whose sum is σ = 40745114839884. Its totient is φ = 3581988117696.

The previous prime is 13432455441499. The next prime is 13432455441593. The reversal of 13432455441540 is 4514455423431.

13432455441540 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 4 + 554 + 41 + 54 + 0 = 666.

13432455441540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7952670722304 + 5479784719236 = 2820048^2 + 2340894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37312376047 + ... + 37312376406.

Almost surely, 213432455441540 is an apocalyptic number.

13432455441540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13432455441540 is an abundant number, since it is smaller than the sum of its proper divisors (27312659398344).

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

13432455441540 is a wasteful number, since it uses less digits than its factorization.

13432455441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74624752468 (or 74624752463 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 13432455441540 in words is "thirteen trillion, four hundred thirty-two billion, four hundred fifty-five million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 74624752453 149249504906 223874257359 298499009812 373123762265 447748514718 671622772077 746247524530 895497029436 1119371286795 1343245544154 1492495049060 2238742573590 2686491088308 3358113860385 4477485147180 6716227720770 13432455441540