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4014311131012 = 22713311993178501
BaseRepresentation
bin111010011010100111100…
…101101100011110000100
3112012202122020121111000111
4322122213211230132010
51011232302122143022
612312052111122404
7563011241421130
oct72324745543604
915182566544014
104014311131012
111308506a87176
1254a000813404
13231717a019b0
14dc417c863c0
156e64c59a477
hex3a6a796c784

4014311131012 has 96 divisors (see below), whose sum is σ = 8929646802944. Its totient is φ = 1536071040000.

The previous prime is 4014311130989. The next prime is 4014311131049. The reversal of 4014311131012 is 2101311134104.

It is a super-2 number, since 2×40143111310122 (a number of 26 digits) contains 22 as substring.

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, 22399762 + ... + 22578262.

Almost surely, 24014311131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014311131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464823401472).

4014311131012 is an abundant number, since it is smaller than the sum of its proper divisors (4915335671932).

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

4014311131012 is a wasteful number, since it uses less digits than its factorization.

4014311131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180549 (or 180547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 4014311131012 its reverse (2101311134104), we get a palindrome (6115622265116).

The spelling of 4014311131012 in words is "four trillion, fourteen billion, three hundred eleven million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 1993 2821 3986 5642 7972 11284 13951 25909 27902 51818 55804 61783 103636 123566 178501 181363 247132 357002 362726 432481 714004 725452 803179 864962 1249507 1606358 1729924 2320513 2499014 3212716 4641026 4998028 5533531 5622253 9282052 11067062 11244506 16243591 22134124 22489012 32487182 38734717 64974364 71935903 77469434 143871806 154938868 287743612 355752493 503551321 711504986 1007102642 1423009972 2014205284 2490267451 4624782409 4980534902 9249564818 9961069804 11028327283 18499129636 22056654566 32373476863 44113309132 64746953726 77198290981 129493907452 143368254679 154396581962 286736509358 308793163924 573473018716 1003577782753 2007155565506 4014311131012