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11441220141432 = 23317195925015349
BaseRepresentation
bin1010011001111101110111…
…0111001100000101111000
31111111202210022012012012010
42212133131313030011320
52444423104324011212
640200005102245520
72260413046411644
oct246373567140570
944452708165163
1011441220141432
1137112155526a4
1213494755868a0
1364cb9683ba13
142b7a87d99c24
1514c92bc5303c
hexa67dddcc178

11441220141432 has 128 divisors (see below), whose sum is σ = 32419893600000. Its totient is φ = 3342850983936.

The previous prime is 11441220141419. The next prime is 11441220141443. The reversal of 11441220141432 is 23414102214411.

It is a self number, because there is not a number n which added to its sum of digits gives 11441220141432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12050307 + ... + 12965042.

It is an arithmetic number, because the mean of its divisors is an integer number (253280418750).

Almost surely, 211441220141432 is an apocalyptic number.

11441220141432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11441220141432 is an abundant number, since it is smaller than the sum of its proper divisors (20978673458568).

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

11441220141432 is a wasteful number, since it uses less digits than its factorization.

11441220141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25015453 (or 25015449 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 11441220141432 its reverse (23414102214411), we get a palindrome (34855322355843).

The spelling of 11441220141432 in words is "eleven trillion, four hundred forty-one billion, two hundred twenty million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 59 68 76 102 114 118 136 152 177 204 228 236 323 354 408 456 472 646 708 969 1003 1121 1292 1416 1938 2006 2242 2584 3009 3363 3876 4012 4484 6018 6726 7752 8024 8968 12036 13452 19057 24072 26904 38114 57171 76228 114342 152456 228684 457368 25015349 50030698 75046047 100061396 150092094 200122792 300184188 425260933 475291631 600368376 850521866 950583262 1275782799 1425874893 1475905591 1701043732 1901166524 2551565598 2851749786 2951811182 3402087464 3802333048 4427716773 5103131196 5703499572 5903622364 8079957727 8855433546 10206262392 11406999144 11807244728 16159915454 17710867092 24239873181 25090395047 28042206229 32319830908 35421734184 48479746362 50180790094 56084412458 64639661816 75271185141 84126618687 96959492724 100361580188 112168824916 150542370282 168253237374 193918985448 200723160376 224337649832 301084740564 336506474748 476717505893 602169481128 673012949496 953435011786 1430152517679 1906870023572 2860305035358 3813740047144 5720610070716 11441220141432