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14441112060 = 22351728035051
BaseRepresentation
bin11010111001100000…
…11110000111111100
31101021102111111120020
431130300132013330
5214033411041220
610344551052140
71020602266344
oct153460360774
941242444506
1014441112060
1161406a4261
122970371050
131491b1622b
149adcddd24
15597c18040
hex35cc1e1fc

14441112060 has 96 divisors (see below), whose sum is σ = 42837403392. Its totient is φ = 3622425600.

The previous prime is 14441111957. The next prime is 14441112121. The reversal of 14441112060 is 6021114441.

It is a self number, because there is not a number n which added to its sum of digits gives 14441112060.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2856535 + ... + 2861585.

It is an arithmetic number, because the mean of its divisors is an integer number (446222952).

Almost surely, 214441112060 is an apocalyptic number.

14441112060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441112060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418701696).

14441112060 is an abundant number, since it is smaller than the sum of its proper divisors (28396291332).

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

14441112060 is a wasteful number, since it uses less digits than its factorization.

14441112060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 14441112060 in words is "fourteen billion, four hundred forty-one million, one hundred twelve thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2803 5051 5606 8409 10102 11212 14015 15153 16818 20204 25255 28030 30306 33636 42045 47651 50510 56060 60612 75765 84090 85867 95302 101020 142953 151530 168180 171734 190604 238255 257601 285906 303060 343468 429335 476510 515202 571812 714765 858670 953020 1030404 1288005 1429530 1717340 2576010 2859060 5152020 14157953 28315906 42473859 56631812 70789765 84947718 141579530 169895436 212369295 240685201 283159060 424738590 481370402 722055603 849477180 962740804 1203426005 1444111206 2406852010 2888222412 3610278015 4813704020 7220556030 14441112060