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4004120024340 = 2235173925607867
BaseRepresentation
bin111010010001001000001…
…001101101010100010100
3112011210100000020121211020
4322101020021231110110
51011100414211234330
612303244540241140
7562200553431642
oct72211011552424
915153300217736
104004120024340
111304157403967
125480378401b0
13230782552167
14dbb2c5b8192
156e252a3d210
hex3a44826d514

4004120024340 has 48 divisors (see below), whose sum is σ = 11871038192832. Its totient is φ = 1004955613696.

The previous prime is 4004120024339. The next prime is 4004120024461. The reversal of 4004120024340 is 434200214004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004120024340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962802914 + ... + 1962804953.

It is an arithmetic number, because the mean of its divisors is an integer number (247313295684).

Almost surely, 24004120024340 is an apocalyptic number.

It is an amenable number.

4004120024340 is an abundant number, since it is smaller than the sum of its proper divisors (7866918168492).

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

4004120024340 is a wasteful number, since it uses less digits than its factorization.

4004120024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925607896 (or 3925607894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4004120024340 its reverse (434200214004), we get a palindrome (4438320238344).

The spelling of 4004120024340 in words is "four trillion, four billion, one hundred twenty million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 3925607867 7851215734 11776823601 15702431468 19628039335 23553647202 39256078670 47107294404 58884118005 66735333739 78512157340 117768236010 133470667478 200206001217 235536472020 266941334956 333676668695 400412002434 667353337390 800824004868 1001030006085 1334706674780 2002060012170 4004120024340