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22413042244440 = 2334561113403371
BaseRepresentation
bin1010001100010011100010…
…11010111101101101011000
32221100122222110011101120000
411012021301122331231120
510414203402303310230
6115400224235533000
74502201036462151
oct506116132755530
987318873141500
1022413042244440
117161355049531
12261b96a5ba160
13c67705229433
14576b230b4928
1528d034755b60
hex1462716bdb58

22413042244440 has 160 divisors (see below), whose sum is σ = 76567688706960. Its totient is φ = 5878830700800.

The previous prime is 22413042244427. The next prime is 22413042244493. The reversal of 22413042244440 is 4444224031422.

22413042244440 is a `hidden beast` number, since 2 + 2 + 4 + 130 + 42 + 2 + 44 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22413042244395 and 22413042244404.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 56504046 + ... + 56899325.

Almost surely, 222413042244440 is an apocalyptic number.

22413042244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22413042244440 is an abundant number, since it is smaller than the sum of its proper divisors (54154646462520).

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

22413042244440 is a wasteful number, since it uses less digits than its factorization.

22413042244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113403455 (or 113403442 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 22413042244440 its reverse (4444224031422), we get a palindrome (26857266275862).

The spelling of 22413042244440 in words is "twenty-two trillion, four hundred thirteen billion, forty-two million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 305 324 360 366 405 488 540 549 610 648 732 810 915 1080 1098 1220 1464 1620 1647 1830 2196 2440 2745 3240 3294 3660 4392 4941 5490 6588 7320 8235 9882 10980 13176 16470 19764 21960 24705 32940 39528 49410 65880 98820 197640 113403371 226806742 340210113 453613484 567016855 680420226 907226968 1020630339 1134033710 1360840452 1701050565 2041260678 2268067420 2721680904 3061891017 3402101130 4082521356 4536134840 5103151695 6123782034 6804202260 6917605631 8165042712 9185673051 10206303390 12247564068 13608404520 13835211262 15309455085 18371346102 20412606780 20752816893 24495128136 27670422524 30618910170 34588028155 36742692204 40825213560 41505633786 45928365255 55340845048 61237820340 62258450679 69176056310 73485384408 83011267572 91856730510 103764084465 122475640680 124516901358 138352112620 166022535144 183713461020 186775352037 207528168930 249033802716 276704225240 311292253395 367426922040 373550704074 415056337860 498067605432 560326056111 622584506790 747101408148 830112675720 933876760185 1120652112222 1245169013580 1494202816296 1867753520370 2241304224444 2490338027160 2801630280555 3735507040740 4482608448888 5603260561110 7471014081480 11206521122220 22413042244440