Search a number
-
+
140596395840 = 2633559833323
BaseRepresentation
bin1000001011110000110…
…0101011111101000000
3111102220101220221001000
42002330030223331000
54300420134131330
6144331124412000
713105052434455
oct2027414537500
9442811827030
10140596395840
115469900016a
12232b9547000
13103482c8244
146b3a91782c
1539cd27b560
hex20bc32bf40

140596395840 has 448 divisors, whose sum is σ = 510630220800. Its totient is φ = 36401891328.

The previous prime is 140596395839. The next prime is 140596395851. The reversal of 140596395840 is 48593695041.

140596395840 is a `hidden beast` number, since 1 + 4 + 0 + 59 + 6 + 3 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42308419 + ... + 42311741.

It is an arithmetic number, because the mean of its divisors is an integer number (1139799600).

Almost surely, 2140596395840 is an apocalyptic number.

140596395840 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 140596395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255315110400).

140596395840 is an abundant number, since it is smaller than the sum of its proper divisors (370033824960).

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

140596395840 is a wasteful number, since it uses less digits than its factorization.

140596395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 140596395840 in words is "one hundred forty billion, five hundred ninety-six million, three hundred ninety-five thousand, eight hundred forty".