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14157906169 = 1122923732
BaseRepresentation
bin11010010111110000…
…01000000011111001
31100112200121011010011
431023320020003321
5212443410444134
610300513021521
71010563134241
oct151370100371
940480534104
1014157906169
116005850500
1228b15548a1
131448248594
1498445cb21
1557ce25264
hex34be080f9

14157906169 has 27 divisors (see below), whose sum is σ = 16160446029. Its totient is φ = 12393685920.

The previous prime is 14157906163. The next prime is 14157906193. The reversal of 14157906169 is 96160975141.

The square root of 14157906169 is 118987.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65367225 + 14092538944 = 8085^2 + 118712^2 .

It is not a de Polignac number, because 14157906169 - 25 = 14157906137 is a prime.

It is a super-2 number, since 2×141579061692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14157906163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37956667 + ... + 37957039.

Almost surely, 214157906169 is an apocalyptic number.

14157906169 is the 118987-th square number.

14157906169 is the 59494-th centered octagonal number.

It is an amenable number.

14157906169 is a deficient number, since it is larger than the sum of its proper divisors (2002539860).

14157906169 is an frugal number, since it uses more digits than its factorization.

14157906169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 49.

Multiplying 14157906169 by its sum of digits (49), we get a square (693737402281 = 8329092).

The spelling of 14157906169 in words is "fourteen billion, one hundred fifty-seven million, nine hundred six thousand, one hundred sixty-nine".

Divisors: 1 11 29 121 319 373 841 3509 4103 9251 10817 45133 101761 118987 139129 313693 1308857 1530419 3450623 4034741 16834609 37956853 44382151 117007489 488203661 1287082379 14157906169