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114013502255300 = 225237229134560961
BaseRepresentation
bin11001111011000111010110…
…010011010011000011000100
3112221200120210000010010020212
4121323013112103103003010
5104420444123034132200
61042253025130014552
733005126605016534
oct3173072623230304
9487616700103225
10114013502255300
113336794477403a
12109546b7277458
134b8057253336b
1420223d65cb4c4
15d2ab45c81035
hex67b1d64d30c4

114013502255300 has 72 divisors (see below), whose sum is σ = 255205629309960. Its totient is φ = 44179054387200.

The previous prime is 114013502255251. The next prime is 114013502255327. The reversal of 114013502255300 is 3552205310411.

It can be written as a sum of positive squares in 12 ways, for example, as 12905007261316 + 101108494993984 = 3592354^2 + 10055272^2 .

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 23 ways as a sum of consecutive naturals, for example, 66433181 + ... + 68127780.

It is an arithmetic number, because the mean of its divisors is an integer number (3544522629305).

Almost surely, 2114013502255300 is an apocalyptic number.

114013502255300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114013502255300 is an abundant number, since it is smaller than the sum of its proper divisors (141192127054660).

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

114013502255300 is a wasteful number, since it uses less digits than its factorization.

114013502255300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134561241 (or 134561234 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 114013502255300 its reverse (3552205310411), we get a palindrome (117565707565711).

The spelling of 114013502255300 in words is "one hundred fourteen trillion, thirteen billion, five hundred two million, two hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 229 370 458 740 916 925 1145 1850 2290 3700 4580 5725 8473 11450 16946 22900 33892 42365 84730 169460 211825 423650 847300 134560961 269121922 538243844 672804805 1345609610 2691219220 3364024025 4978755557 6728048050 9957511114 13456096100 19915022228 24893777785 30814460069 49787555570 61628920138 99575111140 123257840276 124468888925 154072300345 248937777850 308144600690 497875555700 616289201380 770361501725 1140135022553 1540723003450 2280270045106 3081446006900 4560540090212 5700675112765 11401350225530 22802700451060 28503375563825 57006751127650 114013502255300