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14124131232 = 2531929267017
BaseRepresentation
bin11010010011101110…
…10010001110100000
31100110100001012121120
431021313102032200
5212411234144412
610253305052240
71010003064111
oct151167221640
940410035546
1014124131232
115a98781932
1228a2187080
131441251303
1497db8a208
15579ea2b8c
hex349dd23a0

14124131232 has 96 divisors (see below), whose sum is σ = 40373121600. Its totient is φ = 4306434048.

The previous prime is 14124131179. The next prime is 14124131239. The reversal of 14124131232 is 23213142141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14124131239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80613 + ... + 186404.

It is an arithmetic number, because the mean of its divisors is an integer number (420553350).

Almost surely, 214124131232 is an apocalyptic number.

14124131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14124131232 is an abundant number, since it is smaller than the sum of its proper divisors (26248990368).

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

14124131232 is a wasteful number, since it uses less digits than its factorization.

14124131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267078 (or 267070 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14124131232 its reverse (23213142141), we get a palindrome (37337273373).

The spelling of 14124131232 in words is "fourteen billion, one hundred twenty-four million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 26448 52896 267017 534034 801051 1068068 1602102 2136136 3204204 4272272 5073323 6408408 7743493 8544544 10146646 12816816 15219969 15486986 20293292 23230479 25633632 30439938 30973972 40586584 46460958 60879876 61947944 81173168 92921916 121759752 123895888 147126367 162346336 185843832 243519504 247791776 294252734 371687664 441379101 487039008 588505468 743375328 882758202 1177010936 1765516404 2354021872 3531032808 4708043744 7062065616 14124131232