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114005220804 = 223263118232753
BaseRepresentation
bin110101000101100111…
…1011001110111000100
3101220021012221021102100
41222023033121313010
53331440314031204
6124212343312100
711144104250016
oct1521317316704
9356235837370
10114005220804
1144392a7a852
121a11814b630
13a99b228a47
1457370d61b6
152e73a4ea39
hex1a8b3d9dc4

114005220804 has 72 divisors (see below), whose sum is σ = 288899799552. Its totient is φ = 37906928640.

The previous prime is 114005220773. The next prime is 114005220851. The reversal of 114005220804 is 408022500411.

114005220804 is a `hidden beast` number, since 1 + 1 + 400 + 52 + 208 + 0 + 4 = 666.

114005220804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41409892 + ... + 41412644.

It is an arithmetic number, because the mean of its divisors is an integer number (4012497216).

Almost surely, 2114005220804 is an apocalyptic number.

It is an amenable number.

114005220804 is an abundant number, since it is smaller than the sum of its proper divisors (174894578748).

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

114005220804 is a wasteful number, since it uses less digits than its factorization.

114005220804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 114005220804 in words is "one hundred fourteen billion, five million, two hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 631 1262 1823 1893 2524 2753 3646 3786 5469 5506 5679 7292 7572 8259 10938 11012 11358 16407 16518 21876 22716 24777 32814 33036 49554 65628 99108 1150313 1737143 2300626 3450939 3474286 4601252 5018719 5211429 6901878 6948572 10037438 10352817 10422858 13803756 15056157 15634287 20074876 20705634 20845716 30112314 31268574 41411268 45168471 60224628 62537148 90336942 180673884 3166811689 6333623378 9500435067 12667246756 19000870134 28501305201 38001740268 57002610402 114005220804