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14013132444 = 22322319785909
BaseRepresentation
bin11010000110011111…
…10110111010011100
31100011121011212220100
431003033312322130
5212144330214234
610234302021100
71004154442353
oct150317667234
940147155810
1014013132444
115a410588a3
122870b77790
13142425945c
1496d13499a
15570379399
hex3433f6e9c

14013132444 has 72 divisors (see below), whose sum is σ = 37150233120. Its totient is φ = 4445223552.

The previous prime is 14013132437. The next prime is 14013132509. The reversal of 14013132444 is 44423131041.

14013132444 is a `hidden beast` number, since 1 + 401 + 3 + 13 + 244 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120162 + ... + 206070.

It is an arithmetic number, because the mean of its divisors is an integer number (515975460).

Almost surely, 214013132444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575116560).

14013132444 is an abundant number, since it is smaller than the sum of its proper divisors (23137100676).

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

14013132444 is a wasteful number, since it uses less digits than its factorization.

14013132444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86139 (or 86134 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14013132444 its reverse (44423131041), we get a palindrome (58436263485).

The spelling of 14013132444 in words is "fourteen billion, thirteen million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 197 207 276 394 414 591 788 828 1182 1773 2364 3546 4531 7092 9062 13593 18124 27186 40779 54372 81558 85909 163116 171818 257727 343636 515454 773181 1030908 1546362 1975907 3092724 3951814 5927721 7903628 11855442 16924073 17783163 23710884 33848146 35566326 50772219 67696292 71132652 101544438 152316657 203088876 304633314 389253679 609266628 778507358 1167761037 1557014716 2335522074 3503283111 4671044148 7006566222 14013132444