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114020143153 = 7210321225457
BaseRepresentation
bin110101000110000100…
…0010101000000110001
3101220022021000102000221
41222030020111000301
53332003124040103
6124214035213041
711144345140300
oct1521410250061
9356267012027
10114020143153
11443a0442174
121a121147181
13a9a1351c37
14573909c437
152e74eeb1bd
hex1a8c215031

114020143153 has 12 divisors (see below), whose sum is σ = 132649116132. Its totient is φ = 97721648640.

The previous prime is 114020143091. The next prime is 114020143157. The reversal of 114020143153 is 351341020411.

It can be written as a sum of positive squares in 2 ways, for example, as 61957681569 + 52062461584 = 248913^2 + 228172^2 .

It is a de Polignac number, because none of the positive numbers 2k-114020143153 is a prime.

It is a super-2 number, since 2×1140201431532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114020143157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393001 + ... + 618457.

It is an arithmetic number, because the mean of its divisors is an integer number (11054093011).

Almost surely, 2114020143153 is an apocalyptic number.

It is an amenable number.

114020143153 is a deficient number, since it is larger than the sum of its proper divisors (18628972979).

114020143153 is a wasteful number, since it uses less digits than its factorization.

114020143153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235792 (or 235785 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 114020143153 its reverse (351341020411), we get a palindrome (465361163564).

The spelling of 114020143153 in words is "one hundred fourteen billion, twenty million, one hundred forty-three thousand, one hundred fifty-three".

Divisors: 1 7 49 10321 72247 225457 505729 1578199 11047393 2326941697 16288591879 114020143153