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14114898252 = 223272132113419
BaseRepresentation
bin11010010010101000…
…00100000101001100
31100102200200010100100
431021110010011030
5212401403221002
610252335131100
71006531440600
oct151124040514
940380603310
1014114898252
115a93545a74
12289b073a90
13143c36a900
1497c865500
1557927c11c
hex34950414c

14114898252 has 324 divisors, whose sum is σ = 45448701480. Its totient is φ = 3680861184.

The previous prime is 14114898233. The next prime is 14114898253. The reversal of 14114898252 is 25289841141.

14114898252 is a `hidden beast` number, since 1 + 41 + 1 + 489 + 82 + 52 = 666.

It is a super-3 number, since 3×141148982523 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14114898198 and 14114898207.

It is not an unprimeable number, because it can be changed into a prime (14114898253) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33686899 + ... + 33687317.

It is an arithmetic number, because the mean of its divisors is an integer number (140273770).

Almost surely, 214114898252 is an apocalyptic number.

14114898252 is a gapful number since it is divisible by the number (12) 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 14114898252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724350740).

14114898252 is an abundant number, since it is smaller than the sum of its proper divisors (31333803228).

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

14114898252 is a wasteful number, since it uses less digits than its factorization.

14114898252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 557 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 14114898252 in words is "fourteen billion, one hundred fourteen million, eight hundred ninety-eight thousand, two hundred fifty-two".