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114025425444 = 223271556929063
BaseRepresentation
bin110101000110001110…
…0011110101000100100
3101220022121221202222100
41222030130132220210
53332011002103234
6124214344332100
711144441060460
oct1521434365044
9356277852870
10114025425444
11443a341a8a7
121a122a74030
13a9a2481358
145739a754a0
152e756e1399
hex1a8c71ea24

114025425444 has 72 divisors (see below), whose sum is σ = 329439277440. Its totient is φ = 32575479552.

The previous prime is 114025425433. The next prime is 114025425457. The reversal of 114025425444 is 444524520411.

114025425444 is a `hidden beast` number, since 1 + 140 + 2 + 54 + 25 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114025425399 and 114025425408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3908857 + ... + 3937919.

It is an arithmetic number, because the mean of its divisors is an integer number (4575545520).

Almost surely, 2114025425444 is an apocalyptic number.

114025425444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114025425444 is an abundant number, since it is smaller than the sum of its proper divisors (215413851996).

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

114025425444 is a wasteful number, since it uses less digits than its factorization.

114025425444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44649 (or 44644 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 114025425444 its reverse (444524520411), we get a palindrome (558549945855).

The spelling of 114025425444 in words is "one hundred fourteen billion, twenty-five million, four hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15569 29063 31138 46707 58126 62276 87189 93414 108983 116252 140121 174378 186828 203441 217966 261567 280242 326949 348756 406882 435932 523134 560484 610323 653898 813764 980847 1046268 1220646 1307796 1830969 1961694 2441292 3661938 3923388 7323876 452481847 904963694 1357445541 1809927388 2714891082 3167372929 4072336623 5429782164 6334745858 8144673246 9502118787 12669491716 16289346492 19004237574 28506356361 38008475148 57012712722 114025425444