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114457698900 = 223252127175221
BaseRepresentation
bin110101010011000110…
…1011110001001010100
3101221102202100112200100
41222212031132021110
53333402132331100
6124325305414100
711161240250106
oct1524615361124
9357382315610
10114457698900
11445a5429296
121a22379a330
13aa40bb266c
14577b23b576
152e9d62c400
hex1aa635e254

114457698900 has 54 divisors (see below), whose sum is σ = 358761301262. Its totient is φ = 30522052800.

The previous prime is 114457698899. The next prime is 114457698907. The reversal of 114457698900 is 9896754411.

114457698900 is a `hidden beast` number, since 1 + 14 + 457 + 6 + 98 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25652506896 + 88805192004 = 160164^2 + 298002^2 .

It is a super-2 number, since 2×1144576989002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114457698907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63586711 + ... + 63588510.

Almost surely, 2114457698900 is an apocalyptic number.

114457698900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114457698900 is an abundant number, since it is smaller than the sum of its proper divisors (244303602362).

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

114457698900 is a wasteful number, since it uses less digits than its factorization.

114457698900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127175241 (or 127175231 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 114457698900 in words is "one hundred fourteen billion, four hundred fifty-seven million, six hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 127175221 254350442 381525663 508700884 635876105 763051326 1144576989 1271752210 1526102652 1907628315 2289153978 2543504420 3179380525 3815256630 4578307956 5722884945 6358761050 7630513260 9538141575 11445769890 12717522100 19076283150 22891539780 28614424725 38152566300 57228849450 114457698900