Search a number
-
+
140120465862960 = 243251117261217917
BaseRepresentation
bin11111110111000001010110…
…100101111111000100110000
3200101010101102012000102221100
4133313001112211333010300
5121331213203230103320
61214002241532324400
741341240524156402
oct3767012645770460
9611111365012840
10140120465862960
1140712835057080
1213870350613700
1360253c3289b0b
142685c1c460b72
15112ecc5315790
hex7f705697f130

140120465862960 has 360 divisors, whose sum is σ = 545323826367216. Its totient is φ = 31970444451840.

The previous prime is 140120465862917. The next prime is 140120465862991. The reversal of 140120465862960 is 69268564021041.

It is a happy number.

140120465862960 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 0 + 4 + 6 + 5 + 8 + 629 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 140120465862897 and 140120465862906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28320079 + ... + 32897838.

Almost surely, 2140120465862960 is an apocalyptic number.

140120465862960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140120465862960 is an abundant number, since it is smaller than the sum of its proper divisors (405203360504256).

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

140120465862960 is a wasteful number, since it uses less digits than its factorization.

140120465862960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61217981 (or 61217955 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 140120465862960 in words is "one hundred forty trillion, one hundred twenty billion, four hundred sixty-five million, eight hundred sixty-two thousand, nine hundred sixty".