Search a number
-
+
114312034050241 = 1723893929836071
BaseRepresentation
bin11001111111011101011000…
…001011101110000011000001
3112222202010100012100121021211
4121333131120023232003001
5104440342021204101431
61043042120134250121
733035525524300036
oct3177353013560301
9488663305317254
10114312034050241
1133472509127125
12109a2530ab6941
134ba276a122981
142032a3674538d
15d337b95c62b1
hex67f7582ee0c1

114312034050241 has 32 divisors (see below), whose sum is σ = 127750463884800. Its totient is φ = 101727753768960.

The previous prime is 114312034050217. The next prime is 114312034050257. The reversal of 114312034050241 is 142050430213411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114312034050241 - 213 = 114312034042049 is a prime.

It is a super-2 number, since 2×1143120340502412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114312034050211) 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, 136307236 + ... + 137143306.

It is an arithmetic number, because the mean of its divisors is an integer number (3992201996400).

Almost surely, 2114312034050241 is an apocalyptic number.

It is an amenable number.

114312034050241 is a deficient number, since it is larger than the sum of its proper divisors (13438429834559).

114312034050241 is a wasteful number, since it uses less digits than its factorization.

114312034050241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840129.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 114312034050241 its reverse (142050430213411), we get a palindrome (256362464263652).

The spelling of 114312034050241 in words is "one hundred fourteen trillion, three hundred twelve billion, thirty-four million, fifty thousand, two hundred forty-one".

Divisors: 1 17 23 89 391 1513 2047 3929 34799 66793 90367 349681 836071 1536239 5944577 8042663 14213207 19229633 74410319 136725271 326903761 1264975423 1711437337 3284922959 29094434729 55843690303 75553228057 292358143351 1284404876969 4970088436967 6724237297073 114312034050241