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114125441342265 = 32529532576420413
BaseRepresentation
bin11001111100101111100110…
…011001000001101100111001
3112222002021201020020220212200
4121330233212121001230321
5104424312400440423030
61042420300505100413
733016201553403003
oct3174574631015471
9488067636226780
10114125441342265
1133400367436961
1210972337487709
134b8aca169abb2
1420279b5131373
15d2d9e8207d60
hex67cbe6641b39

114125441342265 has 96 divisors (see below), whose sum is σ = 209311146364320. Its totient is φ = 57434848493568.

The previous prime is 114125441342257. The next prime is 114125441342279. The reversal of 114125441342265 is 562243144521411.

114125441342265 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 5 + 4 + 41 + 342 + 265 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8355961486224 + 105769479856041 = 2890668^2 + 10284429^2 .

It is not a de Polignac number, because 114125441342265 - 23 = 114125441342257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114125441342265.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14565199 + ... + 20985611.

It is an arithmetic number, because the mean of its divisors is an integer number (2180324441295).

Almost surely, 2114125441342265 is an apocalyptic number.

114125441342265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114125441342265 is a deficient number, since it is larger than the sum of its proper divisors (95185705022055).

114125441342265 is a wasteful number, since it uses less digits than its factorization.

114125441342265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420763 (or 6420760 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

Adding to 114125441342265 its reverse (562243144521411), we get a palindrome (676368585863676).

The spelling of 114125441342265 in words is "one hundred fourteen trillion, one hundred twenty-five billion, four hundred forty-one million, three hundred forty-two thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 29 45 53 87 145 159 257 261 265 435 477 771 795 1285 1305 1537 2313 2385 3855 4611 7453 7685 11565 13621 13833 22359 23055 37265 40863 67077 68105 69165 111795 122589 204315 335385 395009 612945 1185027 1975045 3555081 5925135 6420413 17775405 19261239 32102065 57783717 96306195 186191977 288918585 340281889 558575931 930959885 1020845667 1650046141 1675727793 1701409445 2792879655 3062537001 4950138423 5104228335 8250230705 8378638965 9868174781 14850415269 15312685005 24750692115 29604524343 47851338089 49340873905 74252076345 87452445473 88813573029 143554014267 148022621715 239256690445 262357336419 430662042801 437262227365 444067865145 717770071335 787072009257 1311786682095 2153310214005 2536120918717 3935360046285 7608362756151 12680604593585 22825088268453 38041813780755 114125441342265