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114252652848 = 2437986334913
BaseRepresentation
bin110101001100111111…
…1010010000100110000
3101220220110112010101010
41222121333102010300
53332442134342343
6124253102510520
711153200345155
oct1523177220460
9356813463333
10114252652848
11444aa70a144
121a186b95440
13aa0a57c639
14575bd0422c
152e8a627d33
hex1a99fd2130

114252652848 has 80 divisors (see below), whose sum is σ = 299243704320. Its totient is φ = 37557491712.

The previous prime is 114252652847. The next prime is 114252652859. The reversal of 114252652848 is 848256252411.

It is a super-2 number, since 2×1142526528482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 114252652797 and 114252652806.

It is not an unprimeable number, because it can be changed into a prime (114252652847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255040 + ... + 3289952.

It is an arithmetic number, because the mean of its divisors is an integer number (3740546304).

Almost surely, 2114252652848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114252652848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149621852160).

114252652848 is an abundant number, since it is smaller than the sum of its proper divisors (184991051472).

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

114252652848 is a wasteful number, since it uses less digits than its factorization.

114252652848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35866 (or 35860 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The spelling of 114252652848 in words is "one hundred fourteen billion, two hundred fifty-two million, six hundred fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 863 948 1264 1726 1896 2589 3452 3792 5178 6904 10356 13808 20712 34913 41424 68177 69826 104739 136354 139652 204531 209478 272708 279304 409062 418956 545416 558608 818124 837912 1090832 1636248 1675824 2758127 3272496 5516254 8274381 11032508 16548762 22065016 30129919 33097524 44130032 60259838 66195048 90389757 120519676 132390096 180779514 241039352 361559028 482078704 723118056 1446236112 2380263601 4760527202 7140790803 9521054404 14281581606 19042108808 28563163212 38084217616 57126326424 114252652848