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13724291441 = 729163414769
BaseRepresentation
bin11001100100000100…
…00001000101110001
31022102110200020112102
430302002001011301
5211101404311231
610145503110145
7664046360330
oct146202010561
938373606472
1013724291441
115903006323
1227b02a2355
1313a9467913
14942a27d17
15554d21acb
hex332081171

13724291441 has 16 divisors (see below), whose sum is σ = 16325347200. Its totient is φ = 11288325888.

The previous prime is 13724291423. The next prime is 13724291501. The reversal of 13724291441 is 14419242731.

It is not a de Polignac number, because 13724291441 - 214 = 13724275057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13724291395 and 13724291404.

It is not an unprimeable number, because it can be changed into a prime (13724291041) 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, 174296 + ... + 240473.

It is an arithmetic number, because the mean of its divisors is an integer number (1020334200).

Almost surely, 213724291441 is an apocalyptic number.

It is an amenable number.

13724291441 is a deficient number, since it is larger than the sum of its proper divisors (2601055759).

13724291441 is a wasteful number, since it uses less digits than its factorization.

13724291441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414968.

The product of its digits is 48384, while the sum is 38.

The spelling of 13724291441 in words is "thirteen billion, seven hundred twenty-four million, two hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 7 29 163 203 1141 4727 33089 414769 2903383 12028301 67607347 84198107 473251429 1960613063 13724291441