Search a number
-
+
40952497914 = 23789105199
BaseRepresentation
bin100110001000111101…
…011000011011111010
310220201001100110000000
4212020331120123322
51132332314413124
630451402053430
72646561326436
oct461075303372
9126631313000
1040952497914
11164056878a9
127b2aaaa276
133b284ca2b3
141da6cb19c6
1510ea4336c9
hex988f586fa

40952497914 has 64 divisors (see below), whose sum is σ = 93165120000. Its totient is φ = 13497324192.

The previous prime is 40952497907. The next prime is 40952497919. The reversal of 40952497914 is 41979425904.

40952497914 is a `hidden beast` number, since 40 + 9 + 524 + 9 + 79 + 1 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40952497919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336687 + ... + 441885.

It is an arithmetic number, because the mean of its divisors is an integer number (1455705000).

Almost surely, 240952497914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40952497914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46582560000).

40952497914 is an abundant number, since it is smaller than the sum of its proper divisors (52212622086).

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

40952497914 is an equidigital number, since it uses as much as digits as its factorization.

40952497914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105311 (or 105293 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 40952497914 in words is "forty billion, nine hundred fifty-two million, four hundred ninety-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 729 801 1458 1602 2187 2403 4374 4806 7209 14418 21627 43254 64881 105199 129762 194643 210398 315597 389286 631194 946791 1893582 2840373 5680746 8521119 9362711 17042238 18725422 25563357 28088133 51126714 56176266 76690071 84264399 153380142 168528798 230070213 252793197 460140426 505586394 758379591 1516759182 2275138773 4550277546 6825416319 13650832638 20476248957 40952497914