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41441222324112 = 24313107620674909
BaseRepresentation
bin10010110110000110010010…
…10101011110111110010000
312102201202001000222211202020
421123003021111132332100
520412433110403332422
6224045500144251440
711505013056501522
oct1133031125367620
9172652030884666
1041441222324112
111222813a6a4616
124793705610b80
131a17b765635a0
14a33aa1753a12
154bceabd0d95c
hex25b0c955ef90

41441222324112 has 80 divisors (see below), whose sum is σ = 116369097526080. Its totient is φ = 12631975727616.

The previous prime is 41441222324077. The next prime is 41441222324147. The reversal of 41441222324112 is 21142322214414.

It is a happy number.

41441222324112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41441222324077) and next prime (41441222324147).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310270687 + ... + 310404222.

It is an arithmetic number, because the mean of its divisors is an integer number (1454613719076).

Almost surely, 241441222324112 is an apocalyptic number.

It is an amenable number.

41441222324112 is an abundant number, since it is smaller than the sum of its proper divisors (74927875201968).

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

41441222324112 is a wasteful number, since it uses less digits than its factorization.

41441222324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620675040 (or 620675034 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 41441222324112 its reverse (21142322214414), we get a palindrome (62583544538526).

The spelling of 41441222324112 in words is "forty-one trillion, four hundred forty-one billion, two hundred twenty-two million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1712 2568 2782 4173 5136 5564 8346 11128 16692 22256 33384 66768 620674909 1241349818 1862024727 2482699636 3724049454 4965399272 7448098908 8068773817 9930798544 14896197816 16137547634 24206321451 29792395632 32275095268 48412642902 64550190536 66412215263 96825285804 129100381072 132824430526 193650571608 199236645789 265648861052 387301143216 398473291578 531297722104 796946583156 863358798419 1062595444208 1593893166312 1726717596838 2590076395257 3187786332624 3453435193676 5180152790514 6906870387352 10360305581028 13813740774704 20720611162056 41441222324112