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114225155154252 = 22325397617179727
BaseRepresentation
bin11001111110001100011101…
…110011000010000101001100
3112222102211002110101101222100
4121332030131303002011030
5104432431104204414002
61042534151210115100
733026331553666062
oct3176143563020514
9488384073341870
10114225155154252
113343968627173a
121098972541ba90
134b97502b074cc
14202c754176032
15d313d226111c
hex67e31dcc214c

114225155154252 has 72 divisors (see below), whose sum is σ = 297216475972416. Its totient is φ = 36971534306304.

The previous prime is 114225155154251. The next prime is 114225155154289. The reversal of 114225155154252 is 252451551522411.

114225155154252 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 5 + 1 + 5 + 51 + 542 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114225155154198 and 114225155154207.

It is not an unprimeable number, because it can be changed into a prime (114225155154251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308404788 + ... + 308774939.

It is an arithmetic number, because the mean of its divisors is an integer number (4128006610728).

Almost surely, 2114225155154252 is an apocalyptic number.

114225155154252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114225155154252 is an abundant number, since it is smaller than the sum of its proper divisors (182991320818164).

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

114225155154252 is a wasteful number, since it uses less digits than its factorization.

114225155154252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617179887 (or 617179882 counting only the distinct ones).

The product of its digits is 800000, while the sum is 45.

The spelling of 114225155154252 in words is "one hundred fourteen trillion, two hundred twenty-five billion, one hundred fifty-five million, one hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 10282 15423 20564 30846 46269 61692 92538 185076 617179727 1234359454 1851539181 2468718908 3703078362 5554617543 7406156724 11109235086 22218470172 32710525531 59866433519 65421051062 98131576593 119732867038 130842102124 179599300557 196263153186 239465734076 294394729779 359198601114 392526306372 538797901671 588789459558 718397202228 1077595803342 1177578919116 2155191606684 3172920976507 6345841953014 9518762929521 12691683906028 19037525859042 28556288788563 38075051718084 57112577577126 114225155154252