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114240055410 = 232513971006609
BaseRepresentation
bin110101001100100111…
…1001110100001110010
3101220212120211002221100
41222121033032201302
53332430423233120
6124251532505230
711152655310015
oct1523117164162
9356776732840
10114240055410
11444a3595538
121a18291b216
13aa07a8b730
14575a38537c
152e8948a490
hex1a993ce872

114240055410 has 96 divisors (see below), whose sum is σ = 323170127280. Its totient is φ = 27830697984.

The previous prime is 114240055399. The next prime is 114240055439. The reversal of 114240055410 is 14550042411.

114240055410 is a `hidden beast` number, since 1 + 1 + 4 + 240 + 0 + 5 + 5 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2632613481 + 111607441929 = 51309^2 + 334077^2 .

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 389815 + ... + 616794.

Almost surely, 2114240055410 is an apocalyptic number.

114240055410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114240055410 is an abundant number, since it is smaller than the sum of its proper divisors (208930071870).

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

114240055410 is a wasteful number, since it uses less digits than its factorization.

114240055410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006732 (or 1006729 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 114240055410 its reverse (14550042411), we get a palindrome (128790097821).

The spelling of 114240055410 in words is "one hundred fourteen billion, two hundred forty million, fifty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 97 117 130 194 195 234 291 390 485 582 585 873 970 1170 1261 1455 1746 2522 2910 3783 4365 6305 7566 8730 11349 12610 18915 22698 37830 56745 113490 1006609 2013218 3019827 5033045 6039654 9059481 10066090 13085917 15099135 18118962 26171834 30198270 39257751 45297405 65429585 78515502 90594810 97641073 117773253 130859170 195282146 196288755 235546506 292923219 392577510 488205365 585846438 588866265 878769657 976410730 1177732530 1269333949 1464616095 1757539314 2538667898 2929232190 3808001847 4393848285 6346669745 7616003694 8787696570 11424005541 12693339490 19040009235 22848011082 38080018470 57120027705 114240055410