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14404444434112 = 2671109137212281
BaseRepresentation
bin1101000110011100101111…
…0010110010111011000000
31220000001101111110222012011
43101213023302302323000
53342000300233342422
650345151014542304
73014454363333325
oct321471362627300
956001344428164
1014404444434112
1146539883a6127
121747817367994
138064442b2155
1437b2709d4b4c
1519ea5caab077
hexd19cbcb2ec0

14404444434112 has 112 divisors (see below), whose sum is σ = 29465998309440. Its totient is φ = 6984249753600.

The previous prime is 14404444434089. The next prime is 14404444434157. The reversal of 14404444434112 is 21143444440441.

14404444434112 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67749412 + ... + 67961692.

It is an arithmetic number, because the mean of its divisors is an integer number (263089270620).

Almost surely, 214404444434112 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 14404444434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732999154720).

14404444434112 is an abundant number, since it is smaller than the sum of its proper divisors (15061553875328).

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

14404444434112 is a wasteful number, since it uses less digits than its factorization.

14404444434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212610 (or 212600 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 14404444434112 its reverse (21143444440441), we get a palindrome (35547888874553).

The spelling of 14404444434112 in words is "fourteen trillion, four hundred four billion, four hundred forty-four million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 109 137 142 218 274 284 436 548 568 872 1096 1136 1744 2192 2272 3488 4384 4544 6976 7739 8768 9727 14933 15478 19454 29866 30956 38908 59732 61912 77816 119464 123824 155632 212281 238928 247648 311264 424562 477856 495296 622528 849124 955712 1060243 1698248 2120486 3396496 4240972 6792992 8481944 13585984 15071951 16963888 23138629 29082497 30143902 33927776 46277258 58164994 60287804 67855552 92554516 116329988 120575608 185109032 232659976 241151216 370218064 465319952 482302432 740436128 930639904 964604864 1480872256 1642842659 1861279808 2064857287 3169992173 3285685318 4129714574 6339984346 6571370636 8259429148 12679968692 13142741272 16518858296 25359937384 26285482544 33037716592 50719874768 52570965088 66075433184 101439749536 105141930176 132150866368 202879499072 225069444283 450138888566 900277777132 1800555554264 3601111108528 7202222217056 14404444434112