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16313431514256 = 2432231674890047
BaseRepresentation
bin1110110101100100010001…
…0010100101110010010000
32010202112211002110110012200
43231121010102211302100
54114234401431424011
654410141553123200
73302415016643622
oct355310422456220
963675732413180
1016313431514256
11521a53a888178
1219b579b259500
13914471c12496
14405807c34c12
151d453a827856
hexed6444a5c90

16313431514256 has 60 divisors (see below), whose sum is σ = 45656930721792. Its totient is φ = 5437574670528.

The previous prime is 16313431514251. The next prime is 16313431514273. The reversal of 16313431514256 is 65241513431361.

16313431514256 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 343 + 1 + 51 + 4 + 256 = 666.

It is a super-3 number, since 3×163134315142563 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16313431514251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891025 + ... + 5781071.

Almost surely, 216313431514256 is an apocalyptic number.

16313431514256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16313431514256 is an abundant number, since it is smaller than the sum of its proper divisors (29343499207536).

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

16313431514256 is a wasteful number, since it uses less digits than its factorization.

16313431514256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913228 (or 4913219 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 16313431514256 in words is "sixteen trillion, three hundred thirteen billion, four hundred thirty-one million, five hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23167 46334 69501 92668 139002 185336 208503 278004 370672 417006 556008 834012 1112016 1668024 3336048 4890047 9780094 14670141 19560188 29340282 39120376 44010423 58680564 78240752 88020846 117361128 176041692 234722256 352083384 704166768 113287718849 226575437698 339863156547 453150875396 679726313094 906301750792 1019589469641 1359452626188 1812603501584 2039178939282 2718905252376 4078357878564 5437810504752 8156715757128 16313431514256