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14576980144 = 247917216701
BaseRepresentation
bin11011001001101101…
…10001000010110000
31101121220011022112111
431210312301002300
5214323201331034
610410243135104
71024142200246
oct154466610260
941556138474
1014576980144
116200363a31
1229a9974494
1314b400794c
149c3d8a796
155a4b05364
hex364db10b0

14576980144 has 40 divisors (see below), whose sum is σ = 28621293120. Its totient is φ = 7190976000.

The previous prime is 14576980087. The next prime is 14576980151. The reversal of 14576980144 is 44108967541.

It is a super-4 number, since 4×145769801444 (a number of 42 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2171994 + ... + 2178694.

It is an arithmetic number, because the mean of its divisors is an integer number (715532328).

Almost surely, 214576980144 is an apocalyptic number.

It is an amenable number.

14576980144 is a deficient number, since it is larger than the sum of its proper divisors (14044312976).

14576980144 is a wasteful number, since it uses less digits than its factorization.

14576980144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

It can be divided in two parts, 14576980 and 144, that added together give a square (14577124 = 38182).

The spelling of 14576980144 in words is "fourteen billion, five hundred seventy-six million, nine hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 79 158 316 632 1264 1721 3442 6701 6884 13402 13768 26804 27536 53608 107216 135959 271918 529379 543836 1058758 1087672 2117516 2175344 4235032 8470064 11532421 23064842 46129684 92259368 184518736 911061259 1822122518 3644245036 7288490072 14576980144