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114661742305 = 5112281674461
BaseRepresentation
bin110101011001001011…
…1110101011011100001
3101221221222022000121111
41222302113311123201
53334311401223210
6124401435023321
711166265504615
oct1526227653341
9357858260544
10114661742305
114469a623100
121a27bb9ab41
13aa742541c6
14579a393345
152eb14d488a
hex1ab25f56e1

114661742305 has 24 divisors (see below), whose sum is σ = 151778230632. Its totient is φ = 83093472000.

The previous prime is 114661742267. The next prime is 114661742323. The reversal of 114661742305 is 503247166411.

It can be written as a sum of positive squares in 4 ways, for example, as 31399485601 + 83262256704 = 177199^2 + 288552^2 .

It is not a de Polignac number, because 114661742305 - 27 = 114661742177 is a prime.

It is a Duffinian number.

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, 167226 + ... + 507235.

It is an arithmetic number, because the mean of its divisors is an integer number (6324092943).

Almost surely, 2114661742305 is an apocalyptic number.

It is an amenable number.

114661742305 is a deficient number, since it is larger than the sum of its proper divisors (37116488327).

114661742305 is a wasteful number, since it uses less digits than its factorization.

114661742305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674769 (or 674758 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 114661742305 in words is "one hundred fourteen billion, six hundred sixty-one million, seven hundred forty-two thousand, three hundred five".

Divisors: 1 5 11 55 121 281 605 1405 3091 15455 34001 170005 674461 3372305 7419071 37095355 81609781 189523541 408048905 947617705 2084758951 10423794755 22932348461 114661742305