Search a number
-
+
561418056040 = 235107131172443
BaseRepresentation
bin10000010101101110001…
…11111011000101101000
31222200010012010020011211
420022313013323011220
533144241010243130
61105524545202504
755363314511252
oct10126707730550
91880105106154
10561418056040
111a7106946aa6
1290981930434
1340c3160907a
141d25c168cd2
15e90cae5a2a
hex82b71fb168

561418056040 has 32 divisors (see below), whose sum is σ = 1274996155680. Its totient is φ = 222468461632.

The previous prime is 561418056011. The next prime is 561418056103. The reversal of 561418056040 is 40650814165.

561418056040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 561418055984 and 561418056002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65581942 + ... + 65590501.

It is an arithmetic number, because the mean of its divisors is an integer number (39843629865).

Almost surely, 2561418056040 is an apocalyptic number.

It is an amenable number.

561418056040 is an abundant number, since it is smaller than the sum of its proper divisors (713578099640).

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

561418056040 is a wasteful number, since it uses less digits than its factorization.

561418056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131172561 (or 131172557 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 561418056040 in words is "five hundred sixty-one billion, four hundred eighteen million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 131172443 262344886 524689772 655862215 1049379544 1311724430 2623448860 5246897720 14035451401 28070902802 56141805604 70177257005 112283611208 140354514010 280709028020 561418056040