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2040042004440 = 2335111545486367
BaseRepresentation
bin11101101011111011111…
…110101001111111011000
321020000201000221102201120
4131223323332221333120
5231411001223120230
64201103220045240
7300250066632546
oct35537376517730
97200630842646
102040042004440
117171a4589440
1228b459b33820
1311a4b523291b
1470a4a872d96
15380ed510310
hex1dafbfa9fd8

2040042004440 has 64 divisors (see below), whose sum is σ = 6676501109760. Its totient is φ = 494555637120.

The previous prime is 2040042004417. The next prime is 2040042004463. The reversal of 2040042004440 is 444002400402.

It is an interprime number because it is at equal distance from previous prime (2040042004417) and next prime (2040042004463).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2040042004440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772741864 + ... + 772744503.

It is an arithmetic number, because the mean of its divisors is an integer number (104320329840).

Almost surely, 22040042004440 is an apocalyptic number.

2040042004440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040042004440 is an abundant number, since it is smaller than the sum of its proper divisors (4636459105320).

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

2040042004440 is a wasteful number, since it uses less digits than its factorization.

2040042004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545486392 (or 1545486388 counting only the distinct ones).

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

Adding to 2040042004440 its reverse (444002400402), we get a palindrome (2484044404842).

The spelling of 2040042004440 in words is "two trillion, forty billion, forty-two million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1545486367 3090972734 4636459101 6181945468 7727431835 9272918202 12363890936 15454863670 17000350037 18545836404 23182295505 30909727340 34000700074 37091672808 46364591010 51001050111 61819454680 68001400148 85001750185 92729182020 102002100222 136002800296 170003500370 185458364040 204004200444 255005250555 340007000740 408008400888 510010501110 680014001480 1020021002220 2040042004440