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4002426112440 = 233572680684713
BaseRepresentation
bin111010001111100011001…
…011111100100110111000
3112011121221221211222112110
4322033203023330212320
51011033432041044230
612302404510012320
7562110564424200
oct72174313744670
915147857758473
104002426112440
111303468219878
125478444a70a0
13230572627a22
14dba0b639400
156e1a3e8d4b0
hex3a3e32fc9b8

4002426112440 has 96 divisors (see below), whose sum is σ = 13967650331280. Its totient is φ = 914840252928.

The previous prime is 4002426112393. The next prime is 4002426112469. The reversal of 4002426112440 is 442116242004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4002426112398 and 4002426112407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340336477 + ... + 340348236.

Almost surely, 24002426112440 is an apocalyptic number.

4002426112440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002426112440 is an abundant number, since it is smaller than the sum of its proper divisors (9965224218840).

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

4002426112440 is a wasteful number, since it uses less digits than its factorization.

4002426112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680684741 (or 680684730 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 4002426112440 in words is "four trillion, two billion, four hundred twenty-six million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 680684713 1361369426 2042054139 2722738852 3403423565 4084108278 4764792991 5445477704 6806847130 8168216556 9529585982 10210270695 13613694260 14294378973 16336433112 19059171964 20420541390 23823964955 27227388520 28588757946 33353550937 38118343928 40841082780 47647929910 57177515892 66707101874 71471894865 81682165560 95295859820 100060652811 114355031784 133414203748 142943789730 166767754685 190591719640 200121305622 266828407496 285887579460 333535509370 400242611244 500303264055 571775158920 667071018740 800485222488 1000606528110 1334142037480 2001213056220 4002426112440