Search a number
-
+
40044455444004 = 22311303367086697
BaseRepresentation
bin10010001101011100100111…
…00010101011111000100100
312020210012201221200112222120
421012232103202223320210
520222042021043202004
6221100100250425540
711302054636063134
oct1106562342537044
9166705657615876
1040044455444004
1111839838161140
1245a8a731322b0
13194623972330b
149c623a6b4ac4
154969ac9403d9
hex246b938abe24

40044455444004 has 24 divisors (see below), whose sum is σ = 101931341130528. Its totient is φ = 12134683467840.

The previous prime is 40044455444003. The next prime is 40044455444011.

40044455444004 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40044455444003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151683543217 + ... + 151683543480.

It is an arithmetic number, because the mean of its divisors is an integer number (4247139213772).

Almost surely, 240044455444004 is an apocalyptic number.

40044455444004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40044455444004 is an abundant number, since it is smaller than the sum of its proper divisors (61886885686524).

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

40044455444004 is a wasteful number, since it uses less digits than its factorization.

40044455444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303367086715 (or 303367086713 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 4004445 and 5444004, that added together give a palindrome (9448449).

The spelling of 40044455444004 in words is "forty trillion, forty-four billion, four hundred fifty-five million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 303367086697 606734173394 910101260091 1213468346788 1820202520182 3337037953667 3640405040364 6674075907334 10011113861001 13348151814668 20022227722002 40044455444004