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114524413152 = 253532424693
BaseRepresentation
bin110101010101000101…
…1111101110011100000
3101221121101212222102120
41222222023331303200
53334021222210102
6124340051344240
711163010310232
oct1525213756340
9357541788376
10114524413152
114462a055736
121a241bb2080
13aa51970756
145786046252
152ea44096bc
hex1aaa2fdce0

114524413152 has 72 divisors (see below), whose sum is σ = 306406528344. Its totient is φ = 37454436864.

The previous prime is 114524413139. The next prime is 114524413183. The reversal of 114524413152 is 251314425411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57318 + ... + 482010.

It is an arithmetic number, because the mean of its divisors is an integer number (4255646227).

Almost surely, 2114524413152 is an apocalyptic number.

114524413152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114524413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153203264172).

114524413152 is an abundant number, since it is smaller than the sum of its proper divisors (191882115192).

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

114524413152 is an equidigital number, since it uses as much as digits as its factorization.

114524413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424812 (or 424751 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

Adding to 114524413152 its reverse (251314425411), we get a palindrome (365838838563).

The spelling of 114524413152 in words is "one hundred fourteen billion, five hundred twenty-four million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 2809 5088 5618 8427 11236 16854 22472 33708 44944 67416 89888 134832 269664 424693 849386 1274079 1698772 2548158 3397544 5096316 6795088 10192632 13590176 20385264 22508729 40770528 45017458 67526187 90034916 135052374 180069832 270104748 360139664 540209496 720279328 1080418992 1192962637 2160837984 2385925274 3578887911 4771850548 7157775822 9543701096 14315551644 19087402192 28631103288 38174804384 57262206576 114524413152