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114144260500 = 2253230998869
BaseRepresentation
bin110101001001110000…
…1110011000110010100
3101220121220120020000201
41222103201303012110
53332231412314000
6124234231350244
711150413130404
oct1522341630624
9356556506021
10114144260500
1144454506396
121a156822384
13a9c0c8ac5a
14574b76a804
152e80d6696a
hex1a93873194

114144260500 has 48 divisors (see below), whose sum is σ = 249401552400. Its totient is φ = 45637468800.

The previous prime is 114144260479. The next prime is 114144260543. The reversal of 114144260500 is 5062441411.

It can be written as a sum of positive squares in 8 ways, for example, as 1783879696 + 112360380804 = 42236^2 + 335202^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1105066 + ... + 1203934.

It is an arithmetic number, because the mean of its divisors is an integer number (5195865675).

Almost surely, 2114144260500 is an apocalyptic number.

114144260500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114144260500 is an abundant number, since it is smaller than the sum of its proper divisors (135257291900).

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

114144260500 is a wasteful number, since it uses less digits than its factorization.

114144260500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101197 (or 101185 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 114144260500 in words is "one hundred fourteen billion, one hundred forty-four million, two hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 2309 4618 9236 11545 23090 46180 57725 98869 115450 197738 230900 288625 395476 494345 577250 988690 1154500 1977380 2471725 4943450 9886900 12358625 24717250 49434500 228288521 456577042 913154084 1141442605 2282885210 4565770420 5707213025 11414426050 22828852100 28536065125 57072130250 114144260500