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13440137334741 = 32133797178717911
BaseRepresentation
bin1100001110010100011010…
…0111001000111111010101
31202120212100021112202121200
43003211012213020333111
53230200400124202431
644330151443103113
72555006063253135
oct303450647107725
952525307482550
1013440137334741
114311a26161817
121610956971a99
13766526962170
14346712b04ac5
1518491eb43ee6
hexc39469c8fd5

13440137334741 has 96 divisors (see below), whose sum is σ = 21706642583808. Its totient is φ = 7959453880320.

The previous prime is 13440137334731. The next prime is 13440137334803. The reversal of 13440137334741 is 14743373104431.

13440137334741 is a `hidden beast` number, since 1 + 3 + 4 + 40 + 137 + 3 + 3 + 474 + 1 = 666.

It is not a de Polignac number, because 13440137334741 - 29 = 13440137334229 is a prime.

It is a super-2 number, since 2×134401373347412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440137334731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750375576 + ... + 750393486.

It is an arithmetic number, because the mean of its divisors is an integer number (226110860248).

Almost surely, 213440137334741 is an apocalyptic number.

It is an amenable number.

13440137334741 is a deficient number, since it is larger than the sum of its proper divisors (8266505249067).

13440137334741 is a wasteful number, since it uses less digits than its factorization.

13440137334741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19848 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 13440137334741 in words is "thirteen trillion, four hundred forty billion, one hundred thirty-seven million, three hundred thirty-four thousand, seven hundred forty-one".

Divisors: 1 3 9 13 37 39 97 111 117 291 333 481 873 1261 1443 1787 3589 3783 4329 5361 10767 11349 16083 17911 23231 32301 46657 53733 66119 69693 139971 161199 173339 198357 209079 232843 419913 520017 595071 662707 698529 859547 1560051 1737367 1988121 2095587 2253407 2578641 5212101 5964363 6413543 6760221 7735923 8615191 15636303 19240629 20280663 22585771 25845573 32006957 57721887 64282579 67757313 77536719 83376059 96020871 192847737 203271939 250128177 288062613 416090441 578543211 750384531 835673527 1184257409 1248271323 2507020581 3104674829 3552772227 3744813969 7521061743 9314024487 10658316681 15395346317 27942073461 40360772777 46186038951 114872968673 121082318331 138558116853 344618906019 363246954993 1033856718057 1493348592749 4480045778247 13440137334741