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14004506640 = 2435175333287
BaseRepresentation
bin11010000101011101…
…11101000000010000
31100010222221122112010
431002232331000100
5212140123203030
610233353102520
71004021225265
oct150256750020
940128848463
1014004506640
115a371a7133
12286a0b7a40
131422529227
1496bd2b26c
1556e7236b0
hex342bbd010

14004506640 has 80 divisors (see below), whose sum is σ = 43440041088. Its totient is φ = 3732292608.

The previous prime is 14004506591. The next prime is 14004506641. The reversal of 14004506640 is 4660540041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×140045066402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14004506598 and 14004506607.

It is not an unprimeable number, because it can be changed into a prime (14004506641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404077 + ... + 437363.

Almost surely, 214004506640 is an apocalyptic number.

14004506640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004506640 is an abundant number, since it is smaller than the sum of its proper divisors (29435534448).

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

14004506640 is a wasteful number, since it uses less digits than its factorization.

14004506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35056 (or 35050 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 14004506640 in words is "fourteen billion, four million, five hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1753 3506 5259 7012 8765 10518 14024 17530 21036 26295 28048 33287 35060 42072 52590 66574 70120 84144 99861 105180 133148 140240 166435 199722 210360 266296 332870 399444 420720 499305 532592 665740 798888 998610 1331480 1597776 1997220 2662960 3994440 7988880 58352111 116704222 175056333 233408444 291760555 350112666 466816888 583521110 700225332 875281665 933633776 1167042220 1400450664 1750563330 2334084440 2800901328 3501126660 4668168880 7002253320 14004506640