Search a number
-
+
40441012342302 = 231113211122327829
BaseRepresentation
bin10010011000111111010000…
…01011001100111000011110
312022012010022200110020101010
421030133220023030320132
520300041143124423202
6222002202233200050
711342523662102565
oct1114375013147036
9168163280406333
1040441012342302
1111981a34199240
1246518a5260026
131974756927270
149db4d948abdc
154a1e6be1a76c
hex24c7e82cce1e

40441012342302 has 64 divisors (see below), whose sum is σ = 95067255951360. Its totient is φ = 11306812099200.

The previous prime is 40441012342259. The next prime is 40441012342307. The reversal of 40441012342302 is 20324321014404.

40441012342302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40441012342302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40441012342307) by changing a digit.

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, 9352677 + ... + 12975152.

It is an arithmetic number, because the mean of its divisors is an integer number (1485425874240).

Almost surely, 240441012342302 is an apocalyptic number.

40441012342302 is an abundant number, since it is smaller than the sum of its proper divisors (54626243609058).

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

40441012342302 is a wasteful number, since it uses less digits than its factorization.

40441012342302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22329969.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 40441012342302 its reverse (20324321014404), we get a palindrome (60765333356706).

The spelling of 40441012342302 in words is "forty trillion, four hundred forty-one billion, twelve million, three hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 2111 4222 6333 12666 23221 27443 46442 54886 69663 82329 139326 164658 301873 603746 905619 1811238 22327829 44655658 66983487 133966974 245606119 290261777 491212238 580523554 736818357 870785331 1473636714 1741570662 3192879547 6385759094 9578638641 19157277282 47134047019 94268094038 141402141057 282804282114 518474517209 612742611247 1036949034418 1225485222494 1555423551627 1838227833741 3110847103254 3676455667482 6740168723717 13480337447434 20220506171151 40441012342302