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114160454430 = 235112199411759
BaseRepresentation
bin110101001010001111…
…1100100101100011110
3101220200001000221220220
41222110133210230132
53332300034020210
6124240010422210
711151000565131
oct1522437445436
9356601027826
10114160454430
1144462667100
121a160131966
13a9c443ab69
14574d984218
152e824b4c70
hex1a947e4b1e

114160454430 has 192 divisors, whose sum is σ = 317524838400. Its totient is φ = 26175916800.

The previous prime is 114160454423. The next prime is 114160454431. The reversal of 114160454430 is 34454061411.

114160454430 = T20 + T21 + ... + T8814.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 114160454391 and 114160454400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114160454431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64899891 + ... + 64901649.

It is an arithmetic number, because the mean of its divisors is an integer number (1653775200).

Almost surely, 2114160454430 is an apocalyptic number.

114160454430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114160454430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158762419200).

114160454430 is an abundant number, since it is smaller than the sum of its proper divisors (203364383970).

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

114160454430 is a wasteful number, since it uses less digits than its factorization.

114160454430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 114160454430 in words is "one hundred fourteen billion, one hundred sixty million, four hundred fifty-four thousand, four hundred thirty".