Search a number
-
+
140490832896000 = 213325343536689
BaseRepresentation
bin11111111100011010010010…
…001100000110000000000000
3200102102210101200221010020100
4133330122102030012000000
5121403300211210133000
61214444333031242400
741410061544046626
oct3774322214060000
9612383350833210
10140490832896000
1140845911643834
1213910093819400
1360512c85a1082
142699b14c3b516
151139750435a00
hex7fc692306000

140490832896000 has 1344 divisors, whose sum is σ = 528121606858560. Its totient is φ = 35897160499200.

The previous prime is 140490832895989. The next prime is 140490832896013. The reversal of 140490832896000 is 698238094041.

140490832896000 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 9 + 0 + 8 + 3 + 28 + 9 + 600 + 0 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21003260656 + ... + 21003267344.

Almost surely, 2140490832896000 is an apocalyptic number.

140490832896000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140490832896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264060803429280).

140490832896000 is an abundant number, since it is smaller than the sum of its proper divisors (387630773962560).

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

140490832896000 is an equidigital number, since it uses as much as digits as its factorization.

140490832896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 140490832896000 in words is "one hundred forty trillion, four hundred ninety billion, eight hundred thirty-two million, eight hundred ninety-six thousand".