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13940310114 = 234176182981
BaseRepresentation
bin11001111101110100…
…00100000001100010
31022222112011010110000
430332322010001202
5212022204410424
610223141120430
71002311452353
oct147672040142
938875133400
1013940310114
115a03a3a355
1228506b9116
131412140113
149635b9d2a
15568c923c9
hex33ee84062

13940310114 has 80 divisors (see below), whose sum is σ = 33616672056. Its totient is φ = 4301683200.

The previous prime is 13940310103. The next prime is 13940310119. The reversal of 13940310114 is 41101304931.

13940310114 is a `hidden beast` number, since 139 + 403 + 10 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8993297889 + 4947012225 = 94833^2 + 70335^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13940310119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126504 + ... + 209484.

Almost surely, 213940310114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940310114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808336028).

13940310114 is an abundant number, since it is smaller than the sum of its proper divisors (19676361942).

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

13940310114 is a wasteful number, since it uses less digits than its factorization.

13940310114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83073 (or 83064 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13940310114 in words is "thirteen billion, nine hundred forty million, three hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 81 102 122 153 162 183 306 366 459 549 918 1037 1098 1377 1647 2074 2754 3111 3294 4941 6222 9333 9882 18666 27999 55998 82981 83997 165962 167994 248943 497886 746829 1410677 1493658 2240487 2821354 4232031 4480974 5061841 6721461 8464062 10123682 12696093 13442922 15185523 25392186 30371046 38088279 45556569 76176558 86051297 91113138 114264837 136669707 172102594 228529674 258153891 273339414 410009121 516307782 774461673 820018242 1548923346 2323385019 4646770038 6970155057 13940310114