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14189514480 = 2432519707659
BaseRepresentation
bin11010011011100001…
…01100111011110000
31100121220002000120100
431031300230323300
5213030003430410
610304002312400
71011425611611
oct151560547360
940556060510
1014189514480
11602167a279
122900058700
13145196461b
14988729c08
15580aba8c0
hex34dc2cef0

14189514480 has 60 divisors (see below), whose sum is σ = 47653121880. Its totient is φ = 3783870336.

The previous prime is 14189514439. The next prime is 14189514481. The reversal of 14189514480 is 8441598141.

14189514480 is a `hidden beast` number, since 1 + 41 + 89 + 51 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14189514481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9853110 + ... + 9854549.

It is an arithmetic number, because the mean of its divisors is an integer number (794218698).

Almost surely, 214189514480 is an apocalyptic number.

14189514480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14189514480 is an abundant number, since it is smaller than the sum of its proper divisors (33463607400).

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

14189514480 is a wasteful number, since it uses less digits than its factorization.

14189514480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19707678 (or 19707669 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 14189514480 in words is "fourteen billion, one hundred eighty-nine million, five hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19707659 39415318 59122977 78830636 98538295 118245954 157661272 177368931 197076590 236491908 295614885 315322544 354737862 394153180 472983816 591229770 709475724 788306360 886844655 945967632 1182459540 1418951448 1576612720 1773689310 2364919080 2837902896 3547378620 4729838160 7094757240 14189514480