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40312433421304 = 2311990146267633
BaseRepresentation
bin10010010101001111110000…
…10001100010101111111000
312021201211102210112021122221
421022213320101202233320
520240434330423440204
6221423135400453424
711330322452232652
oct1112477021425770
9167654383467587
1040312433421304
11119324527a5870
1246309a047a274
1319655a52a17a5
149d51bca1d6d2
1549d943c12654
hex24a9f8462bf8

40312433421304 has 32 divisors (see below), whose sum is σ = 82465580136240. Its totient is φ = 18321982272000.

The previous prime is 40312433421209. The next prime is 40312433421419.

40312433421304 is nontrivially palindromic in base 10.

40312433421304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403124334213042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40312433421304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22262529 + ... + 24005104.

Almost surely, 240312433421304 is an apocalyptic number.

40312433421304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40312433421304 is an abundant number, since it is smaller than the sum of its proper divisors (42153146714936).

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

40312433421304 is a wasteful number, since it uses less digits than its factorization.

40312433421304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46277551 (or 46277547 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4031243 and 3421304, that added together give a palindrome (7452547).

The spelling of 40312433421304 in words is "forty trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 9901 19802 39604 79208 108911 217822 435644 871288 46267633 92535266 185070532 370141064 508943963 1017887926 2035775852 4071551704 458095834333 916191668666 1832383337332 3664766674664 5039054177663 10078108355326 20156216710652 40312433421304