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14167146640 = 245177089333
BaseRepresentation
bin11010011000110110…
…11000000010010000
31100120022222121122211
431030123120002100
5213003242143030
610301443041504
71011034521343
oct151433300220
940508877584
1014167146640
11600aa91a59
1228b4670294
13144a13250a
1498578645a
1557db4d12a
hex34c6d8090

14167146640 has 20 divisors (see below), whose sum is σ = 32938616124. Its totient is φ = 5666858624.

The previous prime is 14167146619. The next prime is 14167146649. The reversal of 14167146640 is 4664176141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3948362896 + 10218783744 = 62836^2 + 101088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14167146593 and 14167146602.

It is not an unprimeable number, because it can be changed into a prime (14167146649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88544587 + ... + 88544746.

Almost surely, 214167146640 is an apocalyptic number.

14167146640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14167146640 is an abundant number, since it is smaller than the sum of its proper divisors (18771469484).

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

14167146640 is a wasteful number, since it uses less digits than its factorization.

14167146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177089346 (or 177089340 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 14167146640 in words is "fourteen billion, one hundred sixty-seven million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 177089333 354178666 708357332 885446665 1416714664 1770893330 2833429328 3541786660 7083573320 14167146640