Search a number
-
+
40523566146 = 23721271085317
BaseRepresentation
bin100101101111011001…
…001000110001000010
310212121011020110020020
4211233121020301002
51130443013104041
630341040354310
72633132425500
oct455731106102
9125534213206
1040523566146
1116205551038
127a2b315996
133a8a69900b
141d65d39670
1510c2957866
hex96f648c42

40523566146 has 48 divisors (see below), whose sum is σ = 95021761536. Its totient is φ = 11486984544.

The previous prime is 40523566007. The next prime is 40523566147. The reversal of 40523566146 is 64166532504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40523566098 and 40523566107.

It is not an unprimeable number, because it can be changed into a prime (40523566147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505321 + ... + 579996.

It is an arithmetic number, because the mean of its divisors is an integer number (1979620032).

Almost surely, 240523566146 is an apocalyptic number.

40523566146 is an abundant number, since it is smaller than the sum of its proper divisors (54498195390).

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

40523566146 is a wasteful number, since it uses less digits than its factorization.

40523566146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085463 (or 1085456 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 40523566146 in words is "forty billion, five hundred twenty-three million, five hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 127 147 254 294 381 762 889 1778 2667 5334 6223 12446 18669 37338 1085317 2170634 3255951 6511902 7597219 15194438 22791657 45583314 53180533 106361066 137835259 159541599 275670518 319083198 413505777 827011554 964846813 1929693626 2894540439 5789080878 6753927691 13507855382 20261783073 40523566146