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412422442344444 = 223716397493089693
BaseRepresentation
bin101110111000110001001010…
…1001011000101111111111100
32000002021012102010010210220110
41131301202111023011333330
5413024112130220010234
64021052130542350020
7152604352406430450
oct13561422513057774
92002235363123813
10412422442344444
1110a4574149663a4
123a30a29558b310
1314918366c46c0c
1473bb4d1bd4660
1532a30c2d011e9
hex17718952c5ffc

412422442344444 has 96 divisors (see below), whose sum is σ = 1106654238144000. Its totient is φ = 117100018891008.

The previous prime is 412422442344433. The next prime is 412422442344467. The reversal of 412422442344444 is 444443244224214.

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

It is a junction number, because it is equal to n+sod(n) for n = 412422442344393 and 412422442344402.

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, 131938462 + ... + 135028154.

It is an arithmetic number, because the mean of its divisors is an integer number (11527648314000).

Almost surely, 2412422442344444 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 412422442344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553327119072000).

412422442344444 is an abundant number, since it is smaller than the sum of its proper divisors (694231795799556).

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

412422442344444 is a wasteful number, since it uses less digits than its factorization.

412422442344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099619 (or 3099617 counting only the distinct ones).

The product of its digits is 12582912, while the sum is 48.

Adding to 412422442344444 its reverse (444443244224214), we get a palindrome (856865686568658).

The spelling of 412422442344444 in words is "four hundred twelve trillion, four hundred twenty-two billion, four hundred forty-two million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3423 4564 6846 9749 13692 19498 29247 38996 58494 68243 116988 136486 204729 272972 409458 818916 1589087 3089693 3178174 4767261 6179386 6356348 9269079 9534522 11123609 12358772 18538158 19069044 21627851 22247218 33370827 37076316 43255702 44494436 64883553 66741654 86511404 129767106 133483308 259534212 503619959 1007239918 1510859877 2014479836 3021719754 3525339713 6043439508 7050679426 10576019139 14101358852 21152038278 30121417057 42304076556 60242834114 90364251171 120485668228 180728502342 210849919399 361457004684 421699838798 632549758197 843399677596 1265099516394 2530199032788 4909790980291 9819581960582 14729372940873 19639163921164 29458745881746 34368536862037 58917491763492 68737073724074 103105610586111 137474147448148 206211221172222 412422442344444