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114790183249 = 7229216692
BaseRepresentation
bin110101011101000000…
…1110011000101010001
3101222021220222111110111
41222322001303011101
53340042241330444
6124422304001321
711202415313200
oct1527201630521
9358256874414
10114790183249
114475607a745
121a2b7000241
13aa94a45171
1457ad469237
152ebc906234
hex1aba073151

114790183249 has 27 divisors (see below), whose sum is σ = 138377657457. Its totient is φ = 94941852768.

The previous prime is 114790183243. The next prime is 114790183279. The reversal of 114790183249 is 942381097411.

The square root of 114790183249 is 338807.

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

It can be written as a sum of positive squares in 4 ways, for example, as 383885649 + 114406297600 = 19593^2 + 338240^2 .

It is not a de Polignac number, because 114790183249 - 29 = 114790182737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114790183243) 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 26 ways as a sum of consecutive naturals, for example, 68776987 + ... + 68778655.

Almost surely, 2114790183249 is an apocalyptic number.

114790183249 is the 338807-th square number.

114790183249 is the 169404-th centered octagonal number.

It is an amenable number.

114790183249 is a deficient number, since it is larger than the sum of its proper divisors (23587474208).

114790183249 is an frugal number, since it uses more digits than its factorization.

114790183249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 114790183249 by its sum of digits (49), we get a square (5624718979201 = 23716492).

114790183249 divided by its sum of digits (49) gives a square (2342656801 = 484012).

The spelling of 114790183249 in words is "one hundred fourteen billion, seven hundred ninety million, one hundred eighty-three thousand, two hundred forty-nine".

Divisors: 1 7 29 49 203 841 1421 1669 5887 11683 41209 48401 81781 338807 1403629 2371649 2785561 9825403 19498927 68777821 80781269 136492489 565468883 2342656801 3958282181 16398597607 114790183249