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4140581336056 = 2311538861100189
BaseRepresentation
bin111100010000001101111…
…000010011001111111000
3112122211120020021111211101
4330100031320103033320
51020314402310223211
612450053511541144
7605101315435534
oct74201570231770
915584506244741
104140581336056
111357013246130
1256a58038a7b4
132405bbc50059
14104595c56bc4
1572a8cc5e5c1
hex3c40de133f8

4140581336056 has 64 divisors (see below), whose sum is σ = 8630230341600. Its totient is φ = 1846344614400.

The previous prime is 4140581336041. The next prime is 4140581336207. The reversal of 4140581336056 is 6506331850414.

4140581336056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4140581335997 and 4140581336015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41277610 + ... + 41377798.

Almost surely, 24140581336056 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 4140581336056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315115170800).

4140581336056 is an abundant number, since it is smaller than the sum of its proper divisors (4489649005544).

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

4140581336056 is a wasteful number, since it uses less digits than its factorization.

4140581336056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109120 (or 109116 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 4140581336056 in words is "four trillion, one hundred forty billion, five hundred eighty-one million, three hundred thirty-six thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 4664 8861 17722 35444 70888 97471 100189 194942 200378 389884 400756 469633 779768 801512 939266 1102079 1878532 2204158 3757064 4408316 5165963 5310017 8816632 10331926 10620034 20663852 21240068 41327704 42480136 58410187 116820374 233640748 467281496 887774729 1775549458 3551098916 7102197832 9765522019 19531044038 39062088076 47052060637 78124176152 94104121274 188208242548 376416485096 517572667007 1035145334014 2070290668028 4140581336056