Search a number
-
+
114975306528 = 25318145714479
BaseRepresentation
bin110101100010100001…
…1111111001100100000
3101222202211022201212020
41223011003333030200
53340432134302103
6124452515501440
711210123660205
oct1530503771440
9358684281766
10114975306528
1144840621595
121a348bb7880
13aac41c0c74
1457c9c97cac
152ecdcc2753
hex1ac50ff320

114975306528 has 96 divisors (see below), whose sum is σ = 304162709760. Its totient is φ = 38027335680.

The previous prime is 114975306503. The next prime is 114975306569. The reversal of 114975306528 is 825603579411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1149753065282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7933593 + ... + 7948071.

It is an arithmetic number, because the mean of its divisors is an integer number (3168361560).

It is a 1-persistent number, because it is pandigital, but 2⋅114975306528 = 229950613056 is not.

Almost surely, 2114975306528 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 114975306528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152081354880).

114975306528 is an abundant number, since it is smaller than the sum of its proper divisors (189187403232).

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

114975306528 is a wasteful number, since it uses less digits than its factorization.

114975306528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15130 (or 15122 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 114975306528 in words is "one hundred fourteen billion, nine hundred seventy-five million, three hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 457 543 724 914 1086 1371 1448 1828 2172 2742 2896 3656 4344 5484 5792 7312 8688 10968 14479 14624 17376 21936 28958 43437 43872 57916 82717 86874 115832 165434 173748 231664 248151 330868 347496 463328 496302 661736 694992 992604 1323472 1389984 1985208 2620699 2646944 3970416 5241398 6616903 7862097 7940832 10482796 13233806 15724194 19850709 20965592 26467612 31448388 39701418 41931184 52935224 62896776 79402836 83862368 105870448 125793552 158805672 211740896 251587104 317611344 635222688 1197659443 2395318886 3592978329 4790637772 7185956658 9581275544 14371913316 19162551088 28743826632 38325102176 57487653264 114975306528