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4002131401422 = 2371110384103127
BaseRepresentation
bin111010001111010001100…
…111101101101011001110
3112011121012102022010000120
4322033101213231223032
51011032331114321142
612302315341205410
7562100355423330
oct72172147555316
915147172263016
104002131401422
111303326928050
12547781860866
1323052655c3cb
14db9c0441450
156e1881767ec
hex3a3d19edace

4002131401422 has 64 divisors (see below), whose sum is σ = 10076227559424. Its totient is φ = 1029422262240.

The previous prime is 4002131401399. The next prime is 4002131401453. The reversal of 4002131401422 is 2241041312004.

It is a junction number, because it is equal to n+sod(n) for n = 4002131401392 and 4002131401401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42003978 + ... + 42099149.

It is an arithmetic number, because the mean of its divisors is an integer number (157441055616).

Almost surely, 24002131401422 is an apocalyptic number.

4002131401422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4002131401422 is an abundant number, since it is smaller than the sum of its proper divisors (6074096158002).

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

4002131401422 is a wasteful number, since it uses less digits than its factorization.

4002131401422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84103253.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4002131401422 its reverse (2241041312004), we get a palindrome (6243172713426).

The spelling of 4002131401422 in words is "four trillion, two billion, one hundred thirty-one million, four hundred one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 462 618 721 1133 1442 2163 2266 3399 4326 6798 7931 15862 23793 47586 84103127 168206254 252309381 504618762 588721889 925134397 1177443778 1766165667 1850268794 2775403191 3532331334 5550806382 6475940779 8662622081 12951881558 17325244162 19427822337 25987866243 38855644674 51975732486 60638354567 95288842891 121276709134 181915063701 190577685782 285866528673 363830127402 571733057346 667021900237 1334043800474 2001065700711 4002131401422