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14339457972 = 2233729654053
BaseRepresentation
bin11010101101011001…
…01100001110110100
31101000100012221101000
431112230230032310
5213331400123342
610330520203300
71015226244630
oct152654541664
941010187330
1014339457972
116099283014
122942309530
131476a43898
149a05dbdc0
1558dd3844c
hex356b2c3b4

14339457972 has 96 divisors (see below), whose sum is σ = 43952428800. Its totient is φ = 3955706496.

The previous prime is 14339457961. The next prime is 14339458009. The reversal of 14339457972 is 27975493341.

14339457972 is a `hidden beast` number, since 1 + 433 + 94 + 57 + 9 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305103 + ... + 348950.

It is an arithmetic number, because the mean of its divisors is an integer number (457837800).

Almost surely, 214339457972 is an apocalyptic number.

14339457972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14339457972 is an abundant number, since it is smaller than the sum of its proper divisors (29612970828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14339457972 is a wasteful number, since it uses less digits than its factorization.

14339457972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654102 (or 654094 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 14339457972 in words is "fourteen billion, three hundred thirty-nine million, four hundred fifty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 21924 654053 1308106 1962159 2616212 3924318 4578371 5886477 7848636 9156742 11772954 13735113 17659431 18313484 18967537 23545908 27470226 35318862 37935074 41205339 54940452 56902611 70637724 75870148 82410678 113805222 123616017 132772759 164821356 170707833 227610444 247232034 265545518 341415666 398318277 494464068 512123499 531091036 682831332 796636554 1024246998 1194954831 1593273108 2048493996 2389909662 3584864493 4779819324 7169728986 14339457972