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14420441323422 = 2332331412990709
BaseRepresentation
bin1101000111011000010101…
…0010000101011110011110
31220001120200100110010221000
43101312011102011132132
53342231030434322142
650400354223451130
73015561656546511
oct321660522053636
956046610403830
1014420441323422
11465a747206902
12174a940756aa6
13807ac3519524
1437bd4b396d78
151a019718a14c
hexd1d8548579e

14420441323422 has 128 divisors (see below), whose sum is σ = 34526112768000. Its totient is φ = 4448378373120.

The previous prime is 14420441323403. The next prime is 14420441323459. The reversal of 14420441323422 is 22432314402441.

14420441323422 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 4 + 413 + 234 + 2 + 2 = 666.

14420441323422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158929404 + ... + 159020112.

It is an arithmetic number, because the mean of its divisors is an integer number (269735256000).

Almost surely, 214420441323422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14420441323422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263056384000).

14420441323422 is an abundant number, since it is smaller than the sum of its proper divisors (20105671444578).

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

14420441323422 is a wasteful number, since it uses less digits than its factorization.

14420441323422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94903 (or 94897 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14420441323422 its reverse (22432314402441), we get a palindrome (36852755725863).

The spelling of 14420441323422 in words is "fourteen trillion, four hundred twenty billion, four hundred forty-one million, three hundred twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 138 186 207 279 414 558 621 713 837 1242 1426 1674 2139 4129 4278 6417 8258 12387 12834 19251 24774 37161 38502 74322 90709 94967 111483 127999 181418 189934 222966 255998 272127 284901 383997 544254 569802 767994 816381 854703 1151991 1632762 1709406 2086307 2303982 2449143 2564109 2811979 2943977 3455973 4172614 4898286 5128218 5623958 5887954 6258921 6911946 8435937 8831931 12517842 16871874 17663862 18776763 25307811 26495793 37553526 50615622 52991586 56330289 64675517 75923433 79487379 112660578 129351034 151846866 158974758 194026551 374537461 388053102 582079653 749074922 1123612383 1164159306 1746238959 2247224766 3370837149 3492477918 6741674298 8614361603 10112511447 11610661291 17228723206 20225022894 23221322582 25843084809 34831983873 51686169618 69663967746 77529254427 104495951619 155058508854 208991903238 232587763281 267045209693 313487854857 465175526562 534090419386 626975709714 801135629079 1602271258158 2403406887237 4806813774474 7210220661711 14420441323422