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103412431231344 = 24325300211354931
BaseRepresentation
bin10111100000110110010101…
…001110101001100101110000
3111120011010120010201011021100
4113200312111032221211300
5102023302124343400334
61003535003130524400
730532205310053334
oct2740662516514560
9446133503634240
10103412431231344
112aa4aa69523364
12b722031b96700
13459199a8a3871
141b7728cc9d7c4
15be4edbe5ec99
hex5e0d953a9970

103412431231344 has 60 divisors (see below), whose sum is σ = 289411938707112. Its totient is φ = 34470719932800.

The previous prime is 103412431231337. The next prime is 103412431231379. The reversal of 103412431231344 is 443132134214301.

103412431231344 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 1 + 24 + 312 + 313 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103412431231299 and 103412431231308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75645559 + ... + 77000489.

Almost surely, 2103412431231344 is an apocalyptic number.

It is an amenable number.

103412431231344 is an abundant number, since it is smaller than the sum of its proper divisors (185999507475768).

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

103412431231344 is a wasteful number, since it uses less digits than its factorization.

103412431231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884966 (or 1884957 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 103412431231344 its reverse (443132134214301), we get a palindrome (546544565445645).

The spelling of 103412431231344 in words is "one hundred three trillion, four hundred twelve billion, four hundred thirty-one million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 530021 1060042 1354931 1590063 2120084 2709862 3180126 4064793 4240168 4770189 5419724 6360252 8129586 8480336 9540378 10839448 12194379 12720504 16259172 19080756 21678896 24388758 25441008 32518344 38161512 48777516 65036688 76323024 97555032 195110064 718141883551 1436283767102 2154425650653 2872567534204 4308851301306 5745135068408 6463276951959 8617702602612 11490270136816 12926553903918 17235405205224 25853107807836 34470810410448 51706215615672 103412431231344