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114135611640 = 2335951130097
BaseRepresentation
bin110101001001100000…
…0110011100011111000
3101220121022021211000120
41222103000303203320
53332222204033030
6124233322133240
711150246456151
oct1522300634370
9356538254016
10114135611640
114444a639376
121a153951220
13a9bc25039b
14574a558928
152e80209010
hex1a930338f8

114135611640 has 32 divisors (see below), whose sum is σ = 342406835280. Its totient is φ = 30436163072.

The previous prime is 114135611599. The next prime is 114135611647. The reversal of 114135611640 is 46116531411.

114135611640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114135611647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475564929 + ... + 475565168.

Almost surely, 2114135611640 is an apocalyptic number.

114135611640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114135611640 is an abundant number, since it is smaller than the sum of its proper divisors (228271223640).

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

114135611640 is a wasteful number, since it uses less digits than its factorization.

114135611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951130111 (or 951130107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 114135611640 in words is "one hundred fourteen billion, one hundred thirty-five million, six hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 951130097 1902260194 2853390291 3804520388 4755650485 5706780582 7609040776 9511300970 11413561164 14266951455 19022601940 22827122328 28533902910 38045203880 57067805820 114135611640