Search a number
-
+
13920129454 = 2711314196959
BaseRepresentation
bin11001111011011010…
…00101000110101110
31022221010011211210011
430331231011012232
5212002023120304
610221140403434
71001645101540
oct147555050656
938833154704
1013920129454
1159a3606320
1228459a657a
13140abc56ba
14960a45690
15567107c04
hex33db451ae

13920129454 has 64 divisors (see below), whose sum is σ = 26940211200. Its totient is φ = 5235199200.

The previous prime is 13920129451. The next prime is 13920129493. The reversal of 13920129454 is 45492102931.

It is a super-2 number, since 2×139201294542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920129451) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1996827 + ... + 2003785.

It is an arithmetic number, because the mean of its divisors is an integer number (420940800).

Almost surely, 213920129454 is an apocalyptic number.

13920129454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13920129454 is a deficient number, since it is larger than the sum of its proper divisors (13020081746).

13920129454 is a wasteful number, since it uses less digits than its factorization.

13920129454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 13920129454 in words is "thirteen billion, nine hundred twenty million, one hundred twenty-nine thousand, four hundred fifty-four".

Divisors: 1 2 7 11 14 22 31 62 77 154 217 341 419 434 682 838 2387 2933 4609 4774 5866 6959 9218 12989 13918 25978 32263 48713 64526 76549 90923 97426 142879 153098 181846 215729 285758 431458 535843 1000153 1071686 1510103 2000306 2373019 2915821 3020206 4746038 5831642 16611133 20410747 32074031 33222266 40821494 64148062 90390451 180780902 224518217 449036434 632733157 994294961 1265466314 1988589922 6960064727 13920129454