Search a number
-
+
114222050514153 = 3323593117499127
BaseRepresentation
bin11001111110001001100100…
…101111110001010011101001
3112222102112002002110100102000
4121332021210233301103221
5104432403224412423103
61042532515143001213
733026161614664161
oct3176114457612351
9488375062410360
10114222050514153
113343833283067a
1210988bb9739209
134b9712984646a
14202c53bad15a1
15d3129e8ecaa3
hex67e264bf14e9

114222050514153 has 32 divisors (see below), whose sum is σ = 179567949772800. Its totient is φ = 71602719925968.

The previous prime is 114222050514071. The next prime is 114222050514227. The reversal of 114222050514153 is 351415050222411.

114222050514153 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 2 + 0 + 505 + 141 + 5 + 3 = 666.

It is not a de Polignac number, because 114222050514153 - 28 = 114222050513897 is a prime.

It is a super-2 number, since 2×1142220505141532 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114222050514353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558712925 + ... + 1558786202.

It is an arithmetic number, because the mean of its divisors is an integer number (5611498430400).

Almost surely, 2114222050514153 is an apocalyptic number.

It is an amenable number.

114222050514153 is a deficient number, since it is larger than the sum of its proper divisors (65345899258647).

114222050514153 is a wasteful number, since it uses less digits than its factorization.

114222050514153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117499218 (or 3117499212 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 114222050514153 in words is "one hundred fourteen trillion, two hundred twenty-two billion, fifty million, five hundred fourteen thousand, one hundred fifty-three".

Divisors: 1 3 9 23 27 59 69 177 207 531 621 1357 1593 4071 12213 36639 3117499127 9352497381 28057492143 71702479921 84172476429 183932448493 215107439763 551797345479 645322319289 1655392036437 1935966957867 4230446315339 4966176109311 12691338946017 38074016838051 114222050514153