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13945913136 = 2432229422911
BaseRepresentation
bin11001111110011110…
…11011111100110000
31022222220200210100100
430333033123330300
5212030123210021
610223501152400
71002410206611
oct147717337460
938886623310
1013945913136
115a07116a51
12285255b700
13141335250c
14964237c08
155694ec626
hex33f3dbf30

13945913136 has 60 divisors (see below), whose sum is σ = 39199713280. Its totient is φ = 4628327040.

The previous prime is 13945913101. The next prime is 13945913141. The reversal of 13945913136 is 63131954931.

13945913136 is a `hidden beast` number, since 1 + 39 + 459 + 131 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13945913091 and 13945913100.

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, 178480 + ... + 244431.

Almost surely, 213945913136 is an apocalyptic number.

13945913136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13945913136 is an abundant number, since it is smaller than the sum of its proper divisors (25253800144).

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

13945913136 is a wasteful number, since it uses less digits than its factorization.

13945913136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423154 (or 423145 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 13945913136 in words is "thirteen billion, nine hundred forty-five million, nine hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 422911 845822 1268733 1691644 2537466 3383288 3806199 5074932 6766576 7612398 10149864 15224796 20299728 30449592 60899184 96846619 193693238 290539857 387386476 581079714 774772952 871619571 1162159428 1549545904 1743239142 2324318856 3486478284 4648637712 6972956568 13945913136