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14023644635304 = 2333712795332713
BaseRepresentation
bin1100110000010010001001…
…0110110110000010101000
31211122122110220110212202000
43030010202112312002220
53314230411011312204
645454212353411000
72645113662421263
oct314044226660250
954578426425660
1014023644635304
11451743788a0a7
1216a5a62269a60
137a9568739305
14366a68801cda
15194bc1ae6039
hexcc1225b60a8

14023644635304 has 128 divisors (see below), whose sum is σ = 39505845139200. Its totient is φ = 4608403752960.

The previous prime is 14023644635293. The next prime is 14023644635309. The reversal of 14023644635304 is 40353644632041.

It is a happy number.

14023644635304 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 3 + 6 + 4 + 4 + 635 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14023644635304.

It is not an unprimeable number, because it can be changed into a prime (14023644635309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 428670852 + ... + 428703564.

It is an arithmetic number, because the mean of its divisors is an integer number (308639415150).

Almost surely, 214023644635304 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 14023644635304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752922569600).

14023644635304 is an abundant number, since it is smaller than the sum of its proper divisors (25482200503896).

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

14023644635304 is a wasteful number, since it uses less digits than its factorization.

14023644635304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60752 (or 60742 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 14023644635304 in words is "fourteen trillion, twenty-three billion, six hundred forty-four million, six hundred thirty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 15336 27953 32713 55906 65426 83859 98139 111812 130852 167718 196278 223624 251577 261704 294417 335436 392556 503154 588834 670872 754731 785112 883251 1006308 1177668 1509462 1766502 1984663 2012616 2322623 2355336 3018924 3533004 3969326 4645246 5953989 6037848 6967869 7066008 7938652 9290492 11907978 13935738 15877304 17861967 18580984 20903607 23815956 27871476 35723934 41807214 47631912 53585901 55742952 62710821 71447868 83614428 107171802 125421642 142895736 167228856 214343604 250843284 428687208 501686568 914426489 1828852978 2743279467 3657705956 5486558934 7315411912 8229838401 10973117868 16459676802 21946235736 24689515203 32919353604 49379030406 64924280719 65838707208 98758060812 129848561438 194772842157 197516121624 259697122876 389545684314 519394245752 584318526471 779091368628 1168637052942 1558182737256 1752955579413 2337274105884 3505911158826 4674548211768 7011822317652 14023644635304