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16442024123320 = 23529371632350217
BaseRepresentation
bin1110111101000011010100…
…0000011101101110111000
32011012211201221010211102021
43233100311000131232320
54123341231133421240
654545210035044224
73314616454043455
oct357206500355670
964184657124367
1016442024123320
11526a028a7a6a4
121a166a8740674
1392362634b3c3
1440bb2642682c
151d7a64d3654a
hexef43501dbb8

16442024123320 has 128 divisors (see below), whose sum is σ = 39545708155200. Its totient is φ = 6140493950976.

The previous prime is 16442024123293. The next prime is 16442024123347. The reversal of 16442024123320 is 2332142024461.

It is an interprime number because it is at equal distance from previous prime (16442024123293) and next prime (16442024123347).

It is a super-3 number, since 3×164420241233203 (a number of 41 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5820852 + ... + 8171068.

Almost surely, 216442024123320 is an apocalyptic number.

16442024123320 is a gapful number since it is divisible by the number (10) 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 16442024123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772854077600).

16442024123320 is an abundant number, since it is smaller than the sum of its proper divisors (23103684031880).

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

16442024123320 is a wasteful number, since it uses less digits than its factorization.

16442024123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350457 (or 2350453 counting only the distinct ones).

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

Adding to 16442024123320 its reverse (2332142024461), we get a palindrome (18774166147781).

The spelling of 16442024123320 in words is "sixteen trillion, four hundred forty-two billion, twenty-four million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 163 185 232 290 296 326 370 580 652 740 815 1073 1160 1304 1480 1630 2146 3260 4292 4727 5365 6031 6520 8584 9454 10730 12062 18908 21460 23635 24124 30155 37816 42920 47270 48248 60310 94540 120620 174899 189080 241240 349798 699596 874495 1399192 1748990 2350217 3497980 4700434 6995960 9400868 11751085 18801736 23502170 47004340 68156293 86958029 94008680 136312586 173916058 272625172 340781465 347832116 383085371 434790145 545250344 681562930 695664232 766170742 869580290 1363125860 1532341484 1739160580 1915426855 2521782841 2726251720 3064682968 3478321160 3830853710 5043565682 7661707420 10087131364 11109475759 12608914205 14174158727 15323414840 20174262728 22218951518 25217828410 28348317454 44437903036 50435656820 55547378795 56696634908 70870793635 88875806072 100871313640 111094757590 113393269816 141741587270 222189515180 283483174540 411050603083 444379030360 566966349080 822101206166 1644202412332 2055253015415 3288404824664 4110506030830 8221012061660 16442024123320