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114004241431 = 2943110198951
BaseRepresentation
bin110101000101100101…
…1101010110000010111
3101220021011002111222021
41222023023222300113
53331440041211211
6124212310314011
711144063030503
oct1521313526027
9356234074867
10114004241431
1144392470a53
121a117958907
13a99ac75032
145736d1d303
152e73909771
hex1a8b2eac17

114004241431 has 16 divisors (see below), whose sum is σ = 118338278400. Its totient is φ = 109697644000.

The previous prime is 114004241383. The next prime is 114004241443. The reversal of 114004241431 is 134142400411.

It is a cyclic number.

It is not a de Polignac number, because 114004241431 - 223 = 113995852823 is a prime.

It is a super-2 number, since 2×1140042414312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114004241396 and 114004241405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114004241531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12732006 + ... + 12740956.

It is an arithmetic number, because the mean of its divisors is an integer number (7396142400).

Almost surely, 2114004241431 is an apocalyptic number.

114004241431 is a deficient number, since it is larger than the sum of its proper divisors (4334036969).

114004241431 is a wasteful number, since it uses less digits than its factorization.

114004241431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114004241431 its reverse (134142400411), we get a palindrome (248146641842).

The spelling of 114004241431 in words is "one hundred fourteen billion, four million, two hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 29 431 1019 8951 12499 29551 259579 439189 3857881 9121069 12736481 111878549 264511001 3931180739 114004241431