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406244442604 = 22711131011004551
BaseRepresentation
bin1011110100101100000…
…11100100000111101100
31102211120212120220212211
411322112003210013230
523123442034130404
6510343124140204
741231054534020
oct5722603440754
91384525526784
10406244442604
11147318440570
1266896537664
132c4022520b0
141593b642380
15a879c18b04
hex5e960e41ec

406244442604 has 96 divisors (see below), whose sum is σ = 963984172032. Its totient is φ = 144655200000.

The previous prime is 406244442587. The next prime is 406244442629.

It is a happy number.

406244442604 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 97872 + ... + 906679.

It is an arithmetic number, because the mean of its divisors is an integer number (10041501792).

Almost surely, 2406244442604 is an apocalyptic number.

406244442604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406244442604 is an abundant number, since it is smaller than the sum of its proper divisors (557739729428).

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

406244442604 is a wasteful number, since it uses less digits than its factorization.

406244442604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004687 (or 1004685 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

It can be divided in two parts, 406244 and 442604, that added together give a palindrome (848848).

The spelling of 406244442604 in words is "four hundred six billion, two hundred forty-four million, four hundred forty-two thousand, six hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 182 202 286 308 364 404 572 707 1001 1111 1313 1414 2002 2222 2626 2828 4004 4444 5252 7777 9191 14443 15554 18382 28886 31108 36764 57772 101101 202202 404404 1004551 2009102 4018204 7031857 11050061 13059163 14063714 22100122 26118326 28127428 44200244 52236652 77350427 91414141 101459651 143650793 154700854 182828282 202919302 287301586 309401708 365656564 405838604 574603172 710217557 1005555551 1116056161 1318975463 1420435114 2011111102 2232112322 2637950926 2840870228 4022222204 4464224644 5275901852 7812393127 9232828241 14508730093 15624786254 18465656482 29017460186 31249572508 36931312964 58034920372 101561110651 203122221302 406244442604