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14335291932 = 223133119315359
BaseRepresentation
bin11010101100111001…
…10011001000011100
31101000001101021122020
431112130303020130
5213324313320212
610330251020140
71015145654013
oct152634631034
941001337566
1014335291932
116096998005
122940a3a650
131475c15580
1499dc35a7a
1558d7b3d8c
hex35673321c

14335291932 has 96 divisors (see below), whose sum is σ = 37379112960. Its totient is φ = 4246179840.

The previous prime is 14335291913. The next prime is 14335291979. The reversal of 14335291932 is 23919253341.

14335291932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 925669 + ... + 941027.

It is an arithmetic number, because the mean of its divisors is an integer number (389365760).

Almost surely, 214335291932 is an apocalyptic number.

14335291932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14335291932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18689556480).

14335291932 is an abundant number, since it is smaller than the sum of its proper divisors (23043821028).

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

14335291932 is a wasteful number, since it uses less digits than its factorization.

14335291932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15603 (or 15601 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The spelling of 14335291932 in words is "fourteen billion, three hundred thirty-five million, two hundred ninety-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 193 372 386 403 579 772 806 1158 1209 1612 2316 2418 2509 4836 5018 5983 7527 10036 11966 15054 15359 17949 23932 30108 30718 35898 46077 61436 71796 77779 92154 155558 184308 199667 233337 311116 399334 466674 476129 599001 798668 933348 952258 1198002 1428387 1904516 2396004 2856774 2964287 5713548 5928574 6189677 8892861 11857148 12379354 17785722 18569031 24758708 35571444 37138062 38535731 74276124 77071462 91892897 115607193 154142924 183785794 231214386 275678691 367571588 462428772 551357382 1102714764 1194607661 2389215322 3583822983 4778430644 7167645966 14335291932