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114134234340 = 22357271748177
BaseRepresentation
bin110101001001011101…
…1100011010011100100
3101220121012200211201110
41222102323203103210
53332221330444330
6124233232425020
711150231661540
oct1522273432344
9356535624643
10114134234340
1144449888605
121a1533a8170
13a9bbb8a509
14574a2baa20
152e80035db0
hex1a92ee34e4

114134234340 has 48 divisors (see below), whose sum is σ = 365229551232. Its totient is φ = 26087824896.

The previous prime is 114134234339. The next prime is 114134234341. The reversal of 114134234340 is 43432431411.

It is an interprime number because it is at equal distance from previous prime (114134234339) and next prime (114134234341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114134234298 and 114134234307.

It is not an unprimeable number, because it can be changed into a prime (114134234341) 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, 135873669 + ... + 135874508.

It is an arithmetic number, because the mean of its divisors is an integer number (7608948984).

Almost surely, 2114134234340 is an apocalyptic number.

114134234340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114134234340 is an abundant number, since it is smaller than the sum of its proper divisors (251095316892).

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

114134234340 is a wasteful number, since it uses less digits than its factorization.

114134234340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271748196 (or 271748194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114134234340 its reverse (43432431411), we get a palindrome (157566665751).

The spelling of 114134234340 in words is "one hundred fourteen billion, one hundred thirty-four million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 271748177 543496354 815244531 1086992708 1358740885 1630489062 1902237239 2717481770 3260978124 3804474478 4076222655 5434963540 5706711717 7608948956 8152445310 9511186195 11413423434 16304890620 19022372390 22826846868 28533558585 38044744780 57067117170 114134234340