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12442063430 = 252971604277
BaseRepresentation
bin10111001011001101…
…01101001001000110
31012010002221022101002
423211212231021012
5200440132012210
65414340333302
7620216536256
oct134546551106
935102838332
1012442063430
115305247455
1224b29a4232
131233912c14
14860611966
154cc4924a5
hex2e59ad246

12442063430 has 32 divisors (see below), whose sum is σ = 23494328640. Its totient is φ = 4737523840.

The previous prime is 12442063409. The next prime is 12442063481. The reversal of 12442063430 is 3436024421.

12442063430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124420634302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 12442063393 and 12442063402.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 281549 + ... + 322728.

It is an arithmetic number, because the mean of its divisors is an integer number (734197770).

Almost surely, 212442063430 is an apocalyptic number.

12442063430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12442063430 is a deficient number, since it is larger than the sum of its proper divisors (11052265210).

12442063430 is a wasteful number, since it uses less digits than its factorization.

12442063430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604384.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12442063430 its reverse (3436024421), we get a palindrome (15878087851).

The spelling of 12442063430 in words is "twelve billion, four hundred forty-two million, sixty-three thousand, four hundred thirty".

Divisors: 1 2 5 10 29 58 71 142 145 290 355 710 2059 4118 10295 20590 604277 1208554 3021385 6042770 17524033 35048066 42903667 85807334 87620165 175240330 214518335 429036670 1244206343 2488412686 6221031715 12442063430