Search a number
-
+
40440633604404 = 22311319882852787
BaseRepresentation
bin10010011000111110100011…
…00110011011100100110100
312022012002100021210100122120
421030133101212123210310
520300034404200320104
6222002100503355540
711342511412634505
oct1114372146334464
9168162307710576
1040440633604404
111198185a425910
1246517ba452bb0
1319746c631b6b7
149db4a105cbac
154a1e48a56cd9
hex24c7d199b934

40440633604404 has 48 divisors (see below), whose sum is σ = 106260433176576. Its totient is φ = 11859423343200.

The previous prime is 40440633604333. The next prime is 40440633604411.

40440633604404 is nontrivially palindromic in base 10.

40440633604404 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 15 ways as a sum of consecutive naturals, for example, 4941422302 + ... + 4941430485.

It is an arithmetic number, because the mean of its divisors is an integer number (2213759024512).

Almost surely, 240440633604404 is an apocalyptic number.

40440633604404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40440633604404 is an abundant number, since it is smaller than the sum of its proper divisors (65819799572172).

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

40440633604404 is a wasteful number, since it uses less digits than its factorization.

40440633604404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882852836 (or 9882852834 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 4044063 and 3604404, that added together give a palindrome (7648467).

The spelling of 40440633604404 in words is "forty trillion, four hundred forty billion, six hundred thirty-three million, six hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 9882852787 19765705574 29648558361 39531411148 59297116722 108711380657 118594233444 217422761314 306368436397 326134141971 434845522628 612736872794 652268283942 919105309191 1225473745588 1304536567884 1838210618382 3370052800367 3676421236764 6740105600734 10110158401101 13480211201468 20220316802202 40440633604404