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12412244230290 = 234515323758309
BaseRepresentation
bin1011010010011111001101…
…1010001000000010010010
31121221121011122022211010000
42310213303122020002102
53111330234010332130
642222034542350430
72420516661111642
oct264476332100222
947847148284100
1012412244230290
113a56004310693
1214856ab58b416
136c0614964bb8
1430ca81db6522
15167d0e72e260
hexb49f3688092

12412244230290 has 40 divisors (see below), whose sum is σ = 33375145599180. Its totient is φ = 3309931794528.

The previous prime is 12412244230289. The next prime is 12412244230291. The reversal of 12412244230290 is 9203244221421.

12412244230290 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 224 + 42 + 302 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (12412244230289) and next prime (12412244230291).

It can be written as a sum of positive squares in 2 ways, for example, as 11999552337369 + 412691892921 = 3464037^2 + 642411^2 .

It is not an unprimeable number, because it can be changed into a prime (12412244230291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7661878345 + ... + 7661879964.

Almost surely, 212412244230290 is an apocalyptic number.

12412244230290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12412244230290 is an abundant number, since it is smaller than the sum of its proper divisors (20962901368890).

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

12412244230290 is a wasteful number, since it uses less digits than its factorization.

12412244230290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15323758328 (or 15323758319 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12412244230290 in words is "twelve trillion, four hundred twelve billion, two hundred forty-four million, two hundred thirty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 15323758309 30647516618 45971274927 76618791545 91942549854 137913824781 153237583090 229856374635 275827649562 413741474343 459712749270 689569123905 827482948686 1241224423029 1379138247810 2068707371715 2482448846058 4137414743430 6206122115145 12412244230290