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22414344131320 = 23579101173405949
BaseRepresentation
bin1010001100010101111110…
…00001010001001011111000
32221100210100011220002121121
411012022333001101023320
510414214034044200240
6115401001343515024
74502245225361551
oct506127701211370
987323304802547
1022414344131320
117161962a153a9
1226200725b8a74
13c67881b751bb
14576c07d67328
1528d0adbba04a
hex1462bf0512f8

22414344131320 has 128 divisors (see below), whose sum is σ = 51874564320000. Its totient is φ = 8713917388800.

The previous prime is 22414344131189. The next prime is 22414344131327. The reversal of 22414344131320 is 2313144341422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22414344131327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55011706 + ... + 55417654.

It is an arithmetic number, because the mean of its divisors is an integer number (405270033750).

Almost surely, 222414344131320 is an apocalyptic number.

22414344131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22414344131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25937282160000).

22414344131320 is an abundant number, since it is smaller than the sum of its proper divisors (29460220188680).

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

22414344131320 is a wasteful number, since it uses less digits than its factorization.

22414344131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406313 (or 406309 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 22414344131320 its reverse (2313144341422), we get a palindrome (24727488472742).

The spelling of 22414344131320 in words is "twenty-two trillion, four hundred fourteen billion, three hundred forty-four million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 101 158 173 202 316 346 395 404 505 632 692 790 808 865 1010 1384 1580 1730 2020 3160 3460 4040 6920 7979 13667 15958 17473 27334 31916 34946 39895 54668 63832 68335 69892 79790 87365 109336 136670 139784 159580 174730 273340 319160 349460 405949 546680 698920 811898 1380367 1623796 2029745 2760734 3247592 4059490 5521468 6901835 8118980 11042936 13803670 16237960 27607340 32069971 41000849 55214680 64139942 70229177 82001698 128279884 140458354 160349855 164003396 205004245 256559768 280916708 320699710 328006792 351145885 410008490 561833416 641399420 702291770 820016980 1282798840 1404583540 1640033960 2809167080 3239067071 5548104983 6478134142 7093146877 11096209966 12956268284 14186293754 16195335355 22192419932 25912536568 27740524915 28372587508 32390670710 35465734385 44384839864 55481049830 56745175016 64781341420 70931468770 110962099660 129562682840 141862937540 221924199320 283725875080 560358603283 1120717206566 2241434413132 2801793016415 4482868826264 5603586032830 11207172065660 22414344131320