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114111713464 = 23719401267451
BaseRepresentation
bin110101001000110010…
…1101001000010111000
3101220112122022122212221
41222101211221002320
53332200044312324
6124231110013424
711146536363160
oct1522145510270
9356478278787
10114111713464
11444380a6311
121a147947274
13a9b7303858
1457472d75a0
152e7d0880e4
hex1a919690b8

114111713464 has 64 divisors (see below), whose sum is σ = 258037689600. Its totient is φ = 46215360000.

The previous prime is 114111713371. The next prime is 114111713473. The reversal of 114111713464 is 464317111411.

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, 292939 + ... + 560389.

It is an arithmetic number, because the mean of its divisors is an integer number (4031838900).

Almost surely, 2114111713464 is an apocalyptic number.

114111713464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114111713464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129018844800).

114111713464 is an abundant number, since it is smaller than the sum of its proper divisors (143925976136).

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

114111713464 is a wasteful number, since it uses less digits than its factorization.

114111713464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267884 (or 267880 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

Adding to 114111713464 its reverse (464317111411), we get a palindrome (578428824875).

The spelling of 114111713464 in words is "one hundred fourteen billion, one hundred eleven million, seven hundred thirteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 401 532 802 1064 1604 2807 3208 5614 7619 11228 15238 22456 30476 53333 60952 106666 213332 267451 426664 534902 1069804 1872157 2139608 3744314 5081569 7488628 10163138 14977256 20326276 35570983 40652552 71141966 107247851 142283932 214495702 284567864 428991404 750734957 857982808 1501469914 2037709169 3002939828 4075418338 6005879656 8150836676 14263964183 16301673352 28527928366 57055856732 114111713464