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114222124200042 = 234705074840741
BaseRepresentation
bin11001111110001001101001…
…001000110111000001101010
3112222102112021020002222110000
4121332021221020313001222
5104432403402243400132
61042532530334203430
733026163501211635
oct3176115110670152
9488375236088400
10114222124200042
1133438370389a01
121098901a353576
134b9713bba5891
14202c5477d2c1c
15d312a610587c
hex67e26923706a

114222124200042 has 20 divisors (see below), whose sum is σ = 255942167189346. Its totient is φ = 38074041399960.

The previous prime is 114222124199957. The next prime is 114222124200071. The reversal of 114222124200042 is 240002421222411.

114222124200042 is a `hidden beast` number, since 1 + 1 + 4 + 22 + 212 + 420 + 0 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111600610246161 + 2621513953881 = 10564119^2 + 1619109^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114222124199979 and 114222124200015.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 352537420209 + ... + 352537420532.

Almost surely, 2114222124200042 is an apocalyptic number.

114222124200042 is an abundant number, since it is smaller than the sum of its proper divisors (141720042989304).

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

114222124200042 is an equidigital number, since it uses as much as digits as its factorization.

114222124200042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705074840755 (or 705074840746 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 114222124200042 its reverse (240002421222411), we get a palindrome (354224545422453).

The spelling of 114222124200042 in words is "one hundred fourteen trillion, two hundred twenty-two billion, one hundred twenty-four million, two hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 705074840741 1410149681482 2115224522223 4230449044446 6345673566669 12691347133338 19037020700007 38074041400014 57111062100021 114222124200042