Search a number
-
+
13915714344 = 23371753149617
BaseRepresentation
bin11001111010111000…
…01111001100101000
31022220210212112101120
430331130033030220
5211444410324334
610220502015240
71001562422520
oct147534171450
938823775346
1013915714344
1159a1070174
122844417520
13140a00abcc
14960216680
15566a34949
hex33d70f328

13915714344 has 256 divisors, whose sum is σ = 43250112000. Its totient is φ = 3640885248.

The previous prime is 13915714339. The next prime is 13915714391. The reversal of 13915714344 is 44341751931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13915714296 and 13915714305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22553524 + ... + 22554140.

It is an arithmetic number, because the mean of its divisors is an integer number (168945750).

Almost surely, 213915714344 is an apocalyptic number.

13915714344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13915714344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625056000).

13915714344 is an abundant number, since it is smaller than the sum of its proper divisors (29334397656).

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

13915714344 is a wasteful number, since it uses less digits than its factorization.

13915714344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 13915714344 in words is "thirteen billion, nine hundred fifteen million, seven hundred fourteen thousand, three hundred forty-four".