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114202131414 = 2375946086413
BaseRepresentation
bin110101001011011111…
…0100011101111010110
3101220202221110100222220
41222112332203233112
53332341221201124
6124244100003210
711152015046310
oct1522676435726
9356687410886
10114202131414
1144484142698
121a172090506
13a9ccc70ab7
1457553127b0
152e85e98879
hex1a96fa3bd6

114202131414 has 32 divisors (see below), whose sum is σ = 265457744640. Its totient is φ = 32076142752.

The previous prime is 114202131391. The next prime is 114202131437. The reversal of 114202131414 is 414131202411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114202131391) and next prime (114202131437).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23040729 + ... + 23045684.

It is an arithmetic number, because the mean of its divisors is an integer number (8295554520).

Almost surely, 2114202131414 is an apocalyptic number.

114202131414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114202131414 is an abundant number, since it is smaller than the sum of its proper divisors (151255613226).

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

114202131414 is a wasteful number, since it uses less digits than its factorization.

114202131414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46086484.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114202131414 its reverse (414131202411), we get a palindrome (528333333825).

The spelling of 114202131414 in words is "one hundred fourteen billion, two hundred two million, one hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 46086413 92172826 138259239 276518478 322604891 645209782 967814673 1935629346 2719098367 5438196734 8157295101 16314590202 19033688569 38067377138 57101065707 114202131414