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40402311320404 = 221119223229946367
BaseRepresentation
bin10010010111110111001010…
…11010100001001101010100
312022001102102112122121211201
421023323211122201031110
520243422413144223104
6221532322100042244
711336653636615135
oct1113734532411524
9168042375577751
1040402311320404
11119675844aa720
1246462a4393384
131970bc9a127c7
149d96a7615c8c
154a0e544c10a4
hex24bee56a1354

40402311320404 has 96 divisors (see below), whose sum is σ = 81911557324800. Its totient is φ = 17244454124160.

The previous prime is 40402311320389. The next prime is 40402311320417.

40402311320404 is nontrivially palindromic in base 10.

40402311320404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 42218829 + ... + 43165195.

It is an arithmetic number, because the mean of its divisors is an integer number (853245388800).

Almost surely, 240402311320404 is an apocalyptic number.

40402311320404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40402311320404 is an abundant number, since it is smaller than the sum of its proper divisors (41509246004396).

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

40402311320404 is a wasteful number, since it uses less digits than its factorization.

40402311320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946853 (or 946851 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4040231 and 1320404, that added together give a palindrome (5360635).

The spelling of 40402311320404 in words is "forty trillion, four hundred two billion, three hundred eleven million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 4 11 19 22 38 44 76 209 223 229 418 446 458 836 892 916 2453 2519 4237 4351 4906 5038 8474 8702 9812 10076 16948 17404 46607 47861 51067 93214 95722 102134 186428 191444 204268 561737 946367 970273 1123474 1892734 1940546 2246948 3785468 3881092 10410037 10673003 17980973 20820074 21346006 35961946 41640148 42692012 71923892 197790703 211039841 216718043 395581406 422079682 433436086 791162812 844159364 866872172 2321438251 2383898473 4009756979 4117642817 4642876502 4767796946 8019513958 8235285634 9285753004 9535593892 16039027916 16470571268 44107326769 45294070987 48328123589 88214653538 90588141974 96656247178 176429307076 181176283948 193312494356 531609359479 918234348191 1063218718958 1836468696382 2126437437916 3672937392764 10100577830101 20201155660202 40402311320404