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102143734848 = 2632241773369
BaseRepresentation
bin101111100100000111…
…1011011010001000000
3100202122120110100121200
41133020033123101000
53133142244003343
6114531342421200
710244134264221
oct1371017332100
9322576410550
10102143734848
113a3565258a1
1217967891800
13982a9a10bc
144d2da53248
1529cc5404d3
hex17c83db440

102143734848 has 84 divisors (see below), whose sum is σ = 292901697660. Its totient is φ = 34033360896.

The previous prime is 102143734829. The next prime is 102143734883. The reversal of 102143734848 is 848437341201.

102143734848 is a `hidden beast` number, since 102 + 1 + 437 + 34 + 84 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44635857984 + 57507876864 = 211272^2 + 239808^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1355508 + ... + 1428876.

Almost surely, 2102143734848 is an apocalyptic number.

102143734848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102143734848 is an abundant number, since it is smaller than the sum of its proper divisors (190757962812).

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

102143734848 is a wasteful number, since it uses less digits than its factorization.

102143734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75804 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 102143734848 in words is "one hundred two billion, one hundred forty-three million, seven hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2417 4834 7251 9668 14502 19336 21753 29004 38672 43506 58008 73369 77344 87012 116016 146738 154688 174024 220107 232032 293476 348048 440214 464064 586952 660321 696096 880428 1173904 1320642 1392192 1760856 2347808 2641284 3521712 4695616 5282568 7043424 10565136 14086848 21130272 42260544 177332873 354665746 531998619 709331492 1063997238 1418662984 1595995857 2127994476 2837325968 3191991714 4255988952 5674651936 6383983428 8511977904 11349303872 12767966856 17023955808 25535933712 34047911616 51071867424 102143734848