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114793571344 = 2471211932
BaseRepresentation
bin110101011101000111…
…0101110010000010000
3101222022011100122001111
41222322032232100100
53340044123240334
6124422504343104
711202456154054
oct1527216562020
9358264318044
10114793571344
1144757a84221
121a2b8174a94
13aa9566035a
1457adaabc64
152ebcd75064
hex1aba3ae410

114793571344 has 45 divisors (see below), whose sum is σ = 225778488829. Its totient is φ = 56540946560.

The previous prime is 114793571341. The next prime is 114793571353. The reversal of 114793571344 is 443175397411.

The square root of 114793571344 is 338812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58961552400 + 55832018944 = 242820^2 + 236288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114793571341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96222012 + ... + 96223204.

Almost surely, 2114793571344 is an apocalyptic number.

114793571344 is the 338812-nd square number.

It is an amenable number.

114793571344 is a deficient number, since it is larger than the sum of its proper divisors (110984917485).

114793571344 is an frugal number, since it uses more digits than its factorization.

114793571344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 1266 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

Multiplying 114793571344 by its sum of digits (49), we get a square (5624884995856 = 23716842).

The spelling of 114793571344 in words is "one hundred fourteen billion, seven hundred ninety-three million, five hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 71 142 284 568 1136 1193 2386 4772 5041 9544 10082 19088 20164 40328 80656 84703 169406 338812 677624 1355248 1423249 2846498 5692996 6013913 11385992 12027826 22771984 24055652 48111304 96222608 101050679 202101358 404202716 808405432 1616810864 7174598209 14349196418 28698392836 57396785672 114793571344