Search a number
-
+
40888506294 = 23831100517
BaseRepresentation
bin100110000101001001…
…010001011110110110
310220112120221100000000
4212011021101132312
51132214424200134
630441154332130
72645153366106
oct460511213666
9126476840000
1040888506294
111638254aa69
127b1158a046
133b1818352c
141d9c5b5206
1510e49e2e99
hex9852517b6

40888506294 has 72 divisors (see below), whose sum is σ = 94962973248. Its totient is φ = 13189709520.

The previous prime is 40888506283. The next prime is 40888506313. The reversal of 40888506294 is 49260588804.

40888506294 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 8 + 5 + 0 + 629 + 4 = 666.

It is a super-2 number, since 2×408885062942 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40888506294.

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 35 ways as a sum of consecutive naturals, for example, 356524 + ... + 457040.

It is an arithmetic number, because the mean of its divisors is an integer number (1318930184).

Almost surely, 240888506294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40888506294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47481486624).

40888506294 is an abundant number, since it is smaller than the sum of its proper divisors (54074466954).

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

40888506294 is an equidigital number, since it uses as much as digits as its factorization.

40888506294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100574 (or 100553 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 40888506294 in words is "forty billion, eight hundred eighty-eight million, five hundred six thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1458 1674 2187 2511 4374 5022 6561 7533 13122 15066 22599 45198 67797 100517 135594 201034 203391 301551 406782 603102 904653 1809306 2713959 3116027 5427918 6232054 8141877 9348081 16283754 18696162 24425631 28044243 48851262 56088486 73276893 84132729 146553786 168265458 219830679 252398187 439661358 504796374 659492037 757194561 1318984074 1514389122 2271583683 4543167366 6814751049 13629502098 20444253147 40888506294