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14459006144 = 261120538361
BaseRepresentation
bin11010111011101001…
…01110110011000000
31101022200011121122002
431131310232303000
5214103001144034
610350430403132
71021210344602
oct153564566300
941280147562
1014459006144
11614a806360
1229763604a8
13149573cc4b
149b243b172
1559959ee7e
hex35dd2ecc0

14459006144 has 28 divisors (see below), whose sum is σ = 31300463688. Its totient is φ = 6572275200.

The previous prime is 14459006101. The next prime is 14459006147. The reversal of 14459006144 is 44160095441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14459006098 and 14459006107.

It is not an unprimeable number, because it can be changed into a prime (14459006147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10268477 + ... + 10269884.

Almost surely, 214459006144 is an apocalyptic number.

It is an amenable number.

14459006144 is an abundant number, since it is smaller than the sum of its proper divisors (16841457544).

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

14459006144 is a wasteful number, since it uses less digits than its factorization.

14459006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20538384 (or 20538374 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 14459006144 in words is "fourteen billion, four hundred fifty-nine million, six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 20538361 41076722 82153444 164306888 225921971 328613776 451843942 657227552 903687884 1314455104 1807375768 3614751536 7229503072 14459006144