Search a number
-
+
116634731401314 = 23272340246629193
BaseRepresentation
bin11010100001010000100011…
…101110111101000001100010
3120021222011121222012101022100
4122201100203232331001202
5110241420412214320224
61052021131135351230
733365403242105610
oct3241204356750142
9507864558171270
10116634731401314
113418856a23aa95
12110b8713682516
1350107b995a399
1420b32189626b0
15d73e0c6ddac9
hex6a1423bbd062

116634731401314 has 48 divisors (see below), whose sum is σ = 301366759404672. Its totient is φ = 31875330320064.

The previous prime is 116634731401313. The next prime is 116634731401319. The reversal of 116634731401314 is 413104137436611.

116634731401314 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 3 + 473 + 1 + 40 + 131 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116634731401314.

It is not an unprimeable number, because it can be changed into a prime (116634731401313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20123311699 + ... + 20123317494.

It is an arithmetic number, because the mean of its divisors is an integer number (6278474154264).

Almost surely, 2116634731401314 is an apocalyptic number.

116634731401314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

116634731401314 is an abundant number, since it is smaller than the sum of its proper divisors (184732028003358).

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

116634731401314 is a wasteful number, since it uses less digits than its factorization.

116634731401314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40246629231 (or 40246629228 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 116634731401314 its reverse (413104137436611), we get a palindrome (529738868837925).

The spelling of 116634731401314 in words is "one hundred sixteen trillion, six hundred thirty-four billion, seven hundred thirty-one million, four hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 40246629193 80493258386 120739887579 241479775158 281726404351 362219662737 563452808702 724439325474 845179213053 925672471439 1690358426106 1851344942878 2535537639159 2777017414317 5071075278318 5554034828634 6479707300073 8331052242951 12959414600146 16662104485902 19439121900219 38878243800438 58317365700657 116634731401314