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14371724192 = 257439671543
BaseRepresentation
bin11010110001001111…
…10001101110100000
31101002120221020022012
431120213301232200
5213413130133232
610334031532052
71016100432350
oct153047615640
941076836265
1014371724192
116105511111
12295108a028
131480630217
149a49dab60
15591aad9b2
hex3589f1ba0

14371724192 has 96 divisors (see below), whose sum is σ = 33144072192. Its totient is φ = 6005954304.

The previous prime is 14371724177. The next prime is 14371724201. The reversal of 14371724192 is 29142717341.

14371724192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9313373 + ... + 9314915.

It is an arithmetic number, because the mean of its divisors is an integer number (345250752).

Almost surely, 214371724192 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 14371724192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572036096).

14371724192 is an abundant number, since it is smaller than the sum of its proper divisors (18772348000).

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

14371724192 is a wasteful number, since it uses less digits than its factorization.

14371724192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The spelling of 14371724192 in words is "fourteen billion, three hundred seventy-one million, seven hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 967 1204 1376 1543 1934 2408 3086 3868 4816 6172 6769 7736 9632 10801 12344 13538 15472 21602 24688 27076 30944 41581 43204 49376 54152 66349 83162 86408 108304 132698 166324 172816 216608 265396 291067 332648 345632 464443 530792 582134 665296 928886 1061584 1164268 1330592 1492081 1857772 2123168 2328536 2984162 3715544 4657072 5968324 7431088 9314144 10444567 11936648 14862176 20889134 23873296 41778268 47746592 64159483 83556536 128318966 167113072 256637932 334226144 449116381 513275864 898232762 1026551728 1796465524 2053103456 3592931048 7185862096 14371724192