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114134434520 = 2357129400247
BaseRepresentation
bin110101001001011110…
…0010100001011011000
3101220121020002000022112
41222102330110023120
53332221403401040
6124233241011452
711150233454261
oct1522274241330
9356536060275
10114134434520
1144449a04a47
121a153483b88
13a9bbc2a672
14574a32d968
152e80075365
hex1a92f142d8

114134434520 has 32 divisors (see below), whose sum is σ = 256839141600. Its totient is φ = 45647255808.

The previous prime is 114134434517. The next prime is 114134434523. The reversal of 114134434520 is 25434431411.

It is an interprime number because it is at equal distance from previous prime (114134434517) and next prime (114134434523).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114134434523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85037 + ... + 485283.

It is an arithmetic number, because the mean of its divisors is an integer number (8026223175).

Almost surely, 2114134434520 is an apocalyptic number.

114134434520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114134434520 is an abundant number, since it is smaller than the sum of its proper divisors (142704707080).

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

114134434520 is a wasteful number, since it uses less digits than its factorization.

114134434520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407387 (or 407383 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 114134434520 its reverse (25434431411), we get a palindrome (139568865931).

The spelling of 114134434520 in words is "one hundred fourteen billion, one hundred thirty-four million, four hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 7129 14258 28516 35645 57032 71290 142580 285160 400247 800494 1600988 2001235 3201976 4002470 8004940 16009880 2853360863 5706721726 11413443452 14266804315 22826886904 28533608630 57067217260 114134434520