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14042611024 = 24131311513413
BaseRepresentation
bin11010001010000000…
…10011110101010000
31100020122122112220121
431011000103311100
5212224402023044
610241233520024
71004663136631
oct150500236520
940218575817
1014042611024
115a56762562
12287aa13014
13142a3aacc0
14973009888
15572c4d984
hex345013d50

14042611024 has 80 divisors (see below), whose sum is σ = 29728347264. Its totient is φ = 6387264000.

The previous prime is 14042611021. The next prime is 14042611027. The reversal of 14042611024 is 42011624041.

It is an interprime number because it is at equal distance from previous prime (14042611021) and next prime (14042611027).

It is a self number, because there is not a number n which added to its sum of digits gives 14042611024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042611021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4112742 + ... + 4116154.

Almost surely, 214042611024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042611024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864173632).

14042611024 is an abundant number, since it is smaller than the sum of its proper divisors (15685736240).

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

14042611024 is a wasteful number, since it uses less digits than its factorization.

14042611024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 14042611024 in words is "fourteen billion, forty-two million, six hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 131 151 208 262 302 524 604 1048 1208 1703 1963 2096 2416 3406 3413 3926 6812 6826 7852 13624 13652 15704 19781 27248 27304 31408 39562 44369 54608 79124 88738 158248 177476 257153 316496 354952 447103 514306 515363 709904 894206 1028612 1030726 1788412 2057224 2061452 3576824 4114448 4122904 5812339 6699719 7153648 8245808 11624678 13399438 23249356 26798876 46498712 53597752 67512553 92997424 107195504 135025106 270050212 540100424 877663189 1080200848 1755326378 3510652756 7021305512 14042611024