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102400542414 = 2333637521393
BaseRepresentation
bin101111101011110001…
…1000100011011001110
3100210022110200112101000
41133113203010123032
53134204014324124
6115013035001130
710253403151302
oct1372743043316
9323273615330
10102400542414
113a478489155
1217a198991a6
13986bc58241
144d55bc1d02
1529e4d6b6c9
hex17d78c46ce

102400542414 has 32 divisors (see below), whose sum is σ = 227619764640. Its totient is φ = 34124063616.

The previous prime is 102400542401. The next prime is 102400542469. The reversal of 102400542414 is 414245004201.

102400542414 is a `hidden beast` number, since 1 + 0 + 240 + 0 + 5 + 4 + 2 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64299 + ... + 457094.

It is an arithmetic number, because the mean of its divisors is an integer number (7113117645).

Almost surely, 2102400542414 is an apocalyptic number.

102400542414 is an abundant number, since it is smaller than the sum of its proper divisors (125219222226).

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

102400542414 is a wasteful number, since it uses less digits than its factorization.

102400542414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525041 (or 525035 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 102400542414 its reverse (414245004201), we get a palindrome (516645546615).

The spelling of 102400542414 in words is "one hundred two billion, four hundred million, five hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 3637 7274 10911 21822 32733 65466 98199 196398 521393 1042786 1564179 3128358 4692537 9385074 14077611 28155222 1896306341 3792612682 5688919023 11377838046 17066757069 34133514138 51200271207 102400542414