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1414100256153 = 31331712899791
BaseRepresentation
bin10100100100111110111…
…100011000010110011001
312000012001002010000122020
4110210332330120112121
5141132034131144103
63001343444045053
7204110502565404
oct24447674302631
95005032100566
101414100256153
114a5797802452
121aa08b393789
13a346cc19000
144c62b13cd3b
1526bb5e98753
hex1493ef18599

1414100256153 has 64 divisors (see below), whose sum is σ = 2164564684800. Its totient is φ = 818307409920.

The previous prime is 1414100256131. The next prime is 1414100256199. The reversal of 1414100256153 is 3516520014141.

It is not a de Polignac number, because 1414100256153 - 210 = 1414100255129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1414100256103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144423688 + ... + 144433478.

It is an arithmetic number, because the mean of its divisors is an integer number (33821323200).

Almost surely, 21414100256153 is an apocalyptic number.

1414100256153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1414100256153 is a deficient number, since it is larger than the sum of its proper divisors (750464428647).

1414100256153 is a wasteful number, since it uses less digits than its factorization.

1414100256153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1414100256153 in words is "one trillion, four hundred fourteen billion, one hundred million, two hundred fifty-six thousand, one hundred fifty-three".

Divisors: 1 3 13 17 39 51 169 221 507 663 1289 2197 2873 3867 6591 8619 9791 16757 21913 29373 37349 50271 65739 112047 127283 166447 217841 284869 381849 499341 653523 854607 1654679 2163811 2831933 3703297 4964037 6491433 8495799 11109891 12620599 21510827 28129543 37861797 48142861 64532481 84388629 144428583 164067787 214550183 365684059 492203361 643650549 1097052177 2132881231 2789152379 6398643693 8367457137 27727456003 36258980927 83182368009 108776942781 471366752051 1414100256153