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14042010112 = 29138272551
BaseRepresentation
bin11010001001111100…
…00001001000000000
31100020121112000121121
431010332001020000
5212224223310422
610241213002024
71004655054664
oct150476011000
940217460547
1014042010112
115a56392039
12287a783314
13142a22a630
14972cd08a4
15572b808c7
hex344f81200

14042010112 has 80 divisors (see below), whose sum is σ = 30263188032. Its totient is φ = 6470553600.

The previous prime is 14042010067. The next prime is 14042010113. The reversal of 14042010112 is 21101024041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14042010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5503237 + ... + 5505787.

Almost surely, 214042010112 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 14042010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131594016).

14042010112 is an abundant number, since it is smaller than the sum of its proper divisors (16221177920).

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

14042010112 is an equidigital number, since it uses as much as digits as its factorization.

14042010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14042010112 its reverse (21101024041), we get a palindrome (35143034153).

The spelling of 14042010112 in words is "fourteen billion, forty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 827 832 1654 1664 2551 3308 3328 5102 6616 6656 10204 10751 13232 20408 21502 26464 33163 40816 43004 52928 66326 81632 86008 105856 132652 163264 172016 211712 265304 326528 344032 423424 530608 653056 688064 1061216 1306112 1376128 2109677 2122432 2752256 4219354 4244864 5504512 8438708 8489728 16877416 16979456 27425801 33754832 54851602 67509664 109703204 135019328 219406408 270038656 438812816 540077312 877625632 1080154624 1755251264 3510502528 7021005056 14042010112