Search a number
-
+
311400279883314 = 2341922223949897
BaseRepresentation
bin100011011001101111000011…
…1000100001011111000110010
31111211120120112220211011220000
41012303132013010023320302
5311303440233122231224
63022143151430530430
7122406633141560646
oct10663360704137062
91454516486734800
10311400279883314
1190249131895256
122ab13563806a16
131049abc714071b
1456c7bd53c8c26
15260038129a0c9
hex11b378710be32

311400279883314 has 20 divisors (see below), whose sum is σ = 697767293812974. Its totient is φ = 103800093294384.

The previous prime is 311400279883313. The next prime is 311400279883349. The reversal of 311400279883314 is 413388972004113.

311400279883314 is a `hidden beast` number, since 3 + 1 + 140 + 0 + 27 + 98 + 83 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285179786729289 + 26220493154025 = 16887267^2 + 5120595^2 .

It is a super-2 number, since 2×3114002798833142 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (311400279883313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 961111974787 + ... + 961111975110.

Almost surely, 2311400279883314 is an apocalyptic number.

311400279883314 is an abundant number, since it is smaller than the sum of its proper divisors (386367013929660).

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

311400279883314 is a wasteful number, since it uses less digits than its factorization.

311400279883314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922223949911 (or 1922223949902 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 311400279883314 in words is "three hundred eleven trillion, four hundred billion, two hundred seventy-nine million, eight hundred eighty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 1922223949897 3844447899794 5766671849691 11533343699382 17300015549073 34600031098146 51900046647219 103800093294438 155700139941657 311400279883314