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4002141104412 = 22311199922216829
BaseRepresentation
bin111010001111010010001…
…100101110100100011100
3112011121020002120002000120
4322033102030232210130
51011032341110320122
612302320325154540
7562100534045043
oct72172214564434
915147202502016
104002141104412
111303331355050
12547784b5ba50
13230528578a19
14db9c184955a
156e188e4175c
hex3a3d232e91c

4002141104412 has 96 divisors (see below), whose sum is σ = 10198446720000. Its totient is φ = 1211440147200.

The previous prime is 4002141104411. The next prime is 4002141104497. The reversal of 4002141104412 is 2144011412004.

4002141104412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002141104411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586047414 + ... + 586054242.

It is an arithmetic number, because the mean of its divisors is an integer number (106233820000).

Almost surely, 24002141104412 is an apocalyptic number.

It is an amenable number.

4002141104412 is an abundant number, since it is smaller than the sum of its proper divisors (6196305615588).

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

4002141104412 is a wasteful number, since it uses less digits than its factorization.

4002141104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067 (or 11065 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4002141104412 its reverse (2144011412004), we get a palindrome (6146152516416).

The spelling of 4002141104412 in words is "four trillion, two billion, one hundred forty-one million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1999 2221 3998 4442 5997 6663 6829 7996 8884 11994 13326 13658 20487 21989 23988 24431 26652 27316 40974 43978 48862 65967 73293 75119 81948 87956 97724 131934 146586 150238 225357 263868 293172 300476 450714 901428 4439779 8879558 13319337 13651171 15167209 17759116 26638674 27302342 30334418 40953513 45501627 48837569 53277348 54604684 60668836 81907026 91003254 97675138 146512707 150162881 163814052 166839299 182006508 195350276 293025414 300325762 333678598 450488643 500517897 586050828 600651524 667357196 900977286 1001035794 1801954572 2002071588 30319250791 60638501582 90957752373 121277003164 181915504746 333511758701 363831009492 667023517402 1000535276103 1334047034804 2001070552206 4002141104412