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114331098672 = 24337237914251
BaseRepresentation
bin110101001111010101…
…0100001111000110000
3101221002221010120211000
41222132222201320300
53333122230124142
6124304544122000
711155142206200
oct1523652417060
9357087116730
10114331098672
114453aa196aa
121a1a9306300
13aa208b749b
1457684c4400
152e9247114c
hex1a9eaa1e30

114331098672 has 240 divisors, whose sum is σ = 382785916800. Its totient is φ = 32577552000.

The previous prime is 114331098643. The next prime is 114331098689. The reversal of 114331098672 is 276890133411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8015547 + ... + 8029797.

It is an arithmetic number, because the mean of its divisors is an integer number (1594941320).

Almost surely, 2114331098672 is an apocalyptic number.

114331098672 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 114331098672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191392958400).

114331098672 is an abundant number, since it is smaller than the sum of its proper divisors (268454818128).

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

114331098672 is a wasteful number, since it uses less digits than its factorization.

114331098672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14661 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 114331098672 in words is "one hundred fourteen billion, three hundred thirty-one million, ninety-eight thousand, six hundred seventy-two".