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114013502541045 = 345192779819449
BaseRepresentation
bin11001111011000111010110…
…010100011000110011110101
3112221200120210000122122020000
4121323013112110120303311
5104420444123122303140
61042253025140101513
733005126610316602
oct3173072624306365
9487616700578200
10114013502541045
1133367944949798
12109546b7394899
134b80572603443
1420223d66636a9
15d2ab45cdaa30
hex67b1d6518cf5

114013502541045 has 60 divisors (see below), whose sum is σ = 215702738786700. Its totient is φ = 57606822262656.

The previous prime is 114013502541017. The next prime is 114013502541053. The reversal of 114013502541045 is 540145205310411.

114013502541045 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 350 + 254 + 10 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55435634051121 + 58577868489924 = 7445511^2 + 7653618^2 .

It is not a de Polignac number, because 114013502541045 - 218 = 114013502278901 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 389763520 + ... + 390055929.

It is an arithmetic number, because the mean of its divisors is an integer number (3595045646445).

Almost surely, 2114013502541045 is an apocalyptic number.

114013502541045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114013502541045 is a deficient number, since it is larger than the sum of its proper divisors (101689236245655).

114013502541045 is an equidigital number, since it uses as much as digits as its factorization.

114013502541045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779819504 (or 779819476 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 114013502541045 its reverse (540145205310411), we get a palindrome (654158707851456).

The spelling of 114013502541045 in words is "one hundred fourteen trillion, thirteen billion, five hundred two million, five hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 361 405 513 855 1083 1539 1805 2565 3249 5415 7695 9747 16245 29241 48735 146205 779819449 2339458347 3899097245 7018375041 11697291735 14816569531 21055125123 35091875205 44449708593 63165375369 74082847655 105275625615 133349125779 222248542965 281514821089 315826876845 400047377337 666745628895 844544463267 1200142132011 1407574105445 2000236886685 2533633389801 4222722316335 6000710660055 7600900169403 12668166949005 22802700508209 38004500847015 114013502541045