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40559290452 = 22327119382219
BaseRepresentation
bin100101110001100001…
…011010100001010100
310212200122110102202200
4211301201122201110
51131031134243302
630344354204500
72634045165132
oct456141324124
9125618412680
1040559290452
111622373125a
127a3b283730
133a94bc6665
141d6a998752
1510c5b6281c
hex97185a854

40559290452 has 72 divisors (see below), whose sum is σ = 104508855360. Its totient is φ = 13260119040.

The previous prime is 40559290439. The next prime is 40559290477. The reversal of 40559290452 is 25409295504.

40559290452 is a `hidden beast` number, since 4 + 0 + 5 + 592 + 9 + 0 + 4 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40559290398 and 40559290407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452199 + ... + 534417.

It is an arithmetic number, because the mean of its divisors is an integer number (1451511880).

Almost surely, 240559290452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40559290452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254427680).

40559290452 is an abundant number, since it is smaller than the sum of its proper divisors (63949564908).

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

40559290452 is a wasteful number, since it uses less digits than its factorization.

40559290452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82493 (or 82488 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 40559290452 in words is "forty billion, five hundred fifty-nine million, two hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 193 213 284 386 426 579 639 772 852 1158 1278 1737 2316 2556 3474 6948 13703 27406 41109 54812 82218 82219 123327 164436 164438 246654 246657 328876 493308 493314 739971 986628 1479942 2959884 5837549 11675098 15868267 17512647 23350196 31736534 35025294 47604801 52537941 63473068 70050588 95209602 105075882 142814403 190419204 210151764 285628806 571257612 1126646957 2253293914 3379940871 4506587828 6759881742 10139822613 13519763484 20279645226 40559290452