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2240440400040 = 233518670336667
BaseRepresentation
bin100000100110100100101…
…001110111100010101000
321221011222010212201020120
4200212210221313202220
5243201410220300130
64433124421123240
7320603126120013
oct40464451674250
97834863781216
102240440400040
1179419021a0a7
12302266b59520
13133370c5102b
147a61b81c37a
153d42b92c910
hex209a4a778a8

2240440400040 has 32 divisors (see below), whose sum is σ = 6721321200480. Its totient is φ = 597450773312.

The previous prime is 2240440399999. The next prime is 2240440400041. The reversal of 2240440400040 is 400040440422.

It is a super-2 number, since 2×22404404000402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2240440400041) 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, 9335168214 + ... + 9335168453.

It is an arithmetic number, because the mean of its divisors is an integer number (210041287515).

Almost surely, 22240440400040 is an apocalyptic number.

2240440400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240440400040 is an abundant number, since it is smaller than the sum of its proper divisors (4480880800440).

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

2240440400040 is a wasteful number, since it uses less digits than its factorization.

2240440400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670336681 (or 18670336677 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2240440400040 its reverse (400040440422), we get a palindrome (2640480840462).

The spelling of 2240440400040 in words is "two trillion, two hundred forty billion, four hundred forty million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18670336667 37340673334 56011010001 74681346668 93351683335 112022020002 149362693336 186703366670 224044040004 280055050005 373406733340 448088080008 560110100010 746813466680 1120220200020 2240440400040