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13971949209 = 32314412
BaseRepresentation
bin11010000001100101…
…10000011010011001
31100001201200120010100
431000302300122121
5212103304333314
610230231210013
71003144415541
oct150062603231
940051616110
1013971949209
115a1a88a269
12285b216909
13141886a18a
14967894321
1556b941c09
hex340cb0699

13971949209 has 45 divisors (see below), whose sum is σ = 21375477695. Its totient is φ = 8794303200.

The previous prime is 13971949183. The next prime is 13971949253. The reversal of 13971949209 is 90294917931.

It is a happy number.

The square root of 13971949209 is 118203.

It is a perfect power (a square), and thus also a powerful number.

13971949209 is a `hidden beast` number, since 1 + 397 + 1 + 9 + 49 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 673246809 + 13298702400 = 25947^2 + 115320^2 .

It is not a de Polignac number, because 13971949209 - 213 = 13971941017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13971949009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 340779229 + ... + 340779269.

Almost surely, 213971949209 is an apocalyptic number.

13971949209 is the 118203-rd square number.

13971949209 is the 59102-nd centered octagonal number.

It is an amenable number.

13971949209 is a deficient number, since it is larger than the sum of its proper divisors (7403528486).

13971949209 is an frugal number, since it uses more digits than its factorization.

13971949209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 13971949209 in words is "thirteen billion, nine hundred seventy-one million, nine hundred forty-nine thousand, two hundred nine".

Divisors: 1 3 9 31 41 93 123 279 369 961 1271 1681 2883 3813 5043 8649 11439 15129 29791 39401 52111 89373 118203 156333 268119 354609 468999 923521 1221431 1615441 2770563 3664293 4846323 8311689 10992879 14538969 37864361 50078671 113593083 150236013 340779249 450708039 1552438801 4657316403 13971949209