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102413024040 = 23351944917993
BaseRepresentation
bin101111101100001001…
…0101011101100101000
3100210100100011122221110
41133120102223230220
53134220213232130
6115014202310320
710253614225005
oct1373022535450
9323310148843
10102413024040
113a484533848
1217a21ab83a0
139871708512
144d577108ac
1529e5ed4ab0
hex17d84abb28

102413024040 has 64 divisors (see below), whose sum is σ = 323409556800. Its totient is φ = 25872763392.

The previous prime is 102413024039. The next prime is 102413024057. The reversal of 102413024040 is 40420314201.

It is a junction number, because it is equal to n+sod(n) for n = 102413023998 and 102413024016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22456717 + ... + 22461276.

It is an arithmetic number, because the mean of its divisors is an integer number (5053274325).

Almost surely, 2102413024040 is an apocalyptic number.

102413024040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102413024040 is an abundant number, since it is smaller than the sum of its proper divisors (220996532760).

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

102413024040 is a wasteful number, since it uses less digits than its factorization.

102413024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44918026 (or 44918022 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102413024040 its reverse (40420314201), we get a palindrome (142833338241).

The spelling of 102413024040 in words is "one hundred two billion, four hundred thirteen million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 44917993 89835986 134753979 179671972 224589965 269507958 359343944 449179930 539015916 673769895 853441867 898359860 1078031832 1347539790 1706883734 1796719720 2560325601 2695079580 3413767468 4267209335 5120651202 5390159160 6827534936 8534418670 10241302404 12801628005 17068837340 20482604808 25603256010 34137674680 51206512020 102413024040