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114924021792 = 25317173407047
BaseRepresentation
bin110101100001000000…
…0010110100000100000
3101222122020211012102120
41223002000112200200
53340331022144132
6124443444344240
711205632032056
oct1530200264040
9358566735376
10114924021792
1144814683608
121a3339a5080
13aab66a5b78
1457c31481d6
152ec954202c
hex1ac2016820

114924021792 has 96 divisors (see below), whose sum is σ = 321268332672. Its totient is φ = 35846098944.

The previous prime is 114924021763. The next prime is 114924021847. The reversal of 114924021792 is 297120429411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78813 + ... + 485859.

It is an arithmetic number, because the mean of its divisors is an integer number (3346545132).

Almost surely, 2114924021792 is an apocalyptic number.

114924021792 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 114924021792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160634166336).

114924021792 is an abundant number, since it is smaller than the sum of its proper divisors (206344310880).

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

114924021792 is a wasteful number, since it uses less digits than its factorization.

114924021792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407250 (or 407242 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 114924021792 in words is "one hundred fourteen billion, nine hundred twenty-four million, twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 173 204 272 346 408 519 544 692 816 1038 1384 1632 2076 2768 2941 4152 5536 5882 8304 8823 11764 16608 17646 23528 35292 47056 70584 94112 141168 282336 407047 814094 1221141 1628188 2442282 3256376 4884564 6512752 6919799 9769128 13025504 13839598 19538256 20759397 27679196 39076512 41518794 55358392 70419131 83037588 110716784 140838262 166075176 211257393 221433568 281676524 332150352 422514786 563353048 664300704 845029572 1126706096 1197125227 1690059144 2253412192 2394250454 3380118288 3591375681 4788500908 6760236576 7182751362 9577001816 14365502724 19154003632 28731005448 38308007264 57462010896 114924021792