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14149392367149 = 3213933371295681
BaseRepresentation
bin1100110111100110100110…
…0000010111111000101101
31212002200001111000112001200
43031321221200113320231
53323310423421222044
650032050252000113
72660155063462344
oct315715140277055
955080044015050
1014149392367149
1145657a6132226
1217062b6a60039
137b8388664530
1436cb9724ab5b
151980d14a3369
hexcde69817e2d

14149392367149 has 24 divisors (see below), whose sum is σ = 22010418705912. Its totient is φ = 8707218370560.

The previous prime is 14149392367141. The next prime is 14149392367211. The reversal of 14149392367149 is 94176329394141.

14149392367149 is a `hidden beast` number, since 1 + 4 + 1 + 49 + 3 + 92 + 367 + 149 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9047433924 + 14140344933225 = 95118^2 + 3760365^2 .

It is not a de Polignac number, because 14149392367149 - 23 = 14149392367141 is a prime.

It is a super-2 number, since 2×141493923671492 (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 (14149392367141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10272589 + ... + 11568269.

It is an arithmetic number, because the mean of its divisors is an integer number (917100779413).

Almost surely, 214149392367149 is an apocalyptic number.

It is an amenable number.

14149392367149 is a deficient number, since it is larger than the sum of its proper divisors (7861026338763).

14149392367149 is a wasteful number, since it uses less digits than its factorization.

14149392367149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389037 (or 1389034 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 14149392367149 in words is "fourteen trillion, one hundred forty-nine billion, three hundred ninety-two million, three hundred sixty-seven thousand, one hundred forty-nine".

Divisors: 1 3 9 13 39 117 93337 280011 840033 1213381 1295681 3640143 3887043 10920429 11661129 16843853 50531559 151594677 120934977497 362804932491 1088414797473 1572154707461 4716464122383 14149392367149