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114657297390 = 23552911631399
BaseRepresentation
bin110101011001000011…
…0111000001111101110
3101221221122221012100000
41222302012320033232
53334304232004030
6124401155445130
711166212642646
oct1526206701756
9357848835300
10114657297390
1144698067619
121a27a5b67a6
13aa73358c8c
145799957526
152eb0e07860
hex1ab21b83ee

114657297390 has 192 divisors, whose sum is σ = 320314176000. Its totient is φ = 29474492544.

The previous prime is 114657297379. The next prime is 114657297397. The reversal of 114657297390 is 93792756411.

114657297390 is a `hidden beast` number, since 1 + 1 + 465 + 7 + 2 + 97 + 3 + 90 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114657297397) 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, 81955911 + ... + 81957309.

It is an arithmetic number, because the mean of its divisors is an integer number (1668303000).

Almost surely, 2114657297390 is an apocalyptic number.

114657297390 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 114657297390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157088000).

114657297390 is an abundant number, since it is smaller than the sum of its proper divisors (205656878610).

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

114657297390 is a wasteful number, since it uses less digits than its factorization.

114657297390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 114657297390 in words is "one hundred fourteen billion, six hundred fifty-seven million, two hundred ninety-seven thousand, three hundred ninety".