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13444224433120 = 2551317380209967
BaseRepresentation
bin1100001110100011101000…
…1110001011101111100000
31202121020220010010212120201
43003220322032023233200
53230232232423324440
644332105203514544
72555212262105635
oct303507216135740
952536803125521
1013444224433120
114313733225278
1216116b7688a54
13766a2862ab80
143469bd84c18c
15184aad87119a
hexc3a3a38bbe0

13444224433120 has 96 divisors (see below), whose sum is σ = 36217280711808. Its totient is φ = 4672020062208.

The previous prime is 13444224433111. The next prime is 13444224433153. The reversal of 13444224433120 is 2133442244431.

13444224433120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13444224433120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190069624 + ... + 190140343.

It is an arithmetic number, because the mean of its divisors is an integer number (377263340748).

Almost surely, 213444224433120 is an apocalyptic number.

13444224433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444224433120 is an abundant number, since it is smaller than the sum of its proper divisors (22773056278688).

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

13444224433120 is a wasteful number, since it uses less digits than its factorization.

13444224433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380210012 (or 380210004 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 13444224433120 its reverse (2133442244431), we get a palindrome (15577666677551).

The spelling of 13444224433120 in words is "thirteen trillion, four hundred forty-four billion, two hundred twenty-four million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 380209967 760419934 1520839868 1901049835 3041679736 3802099670 4942729571 6083359472 6463569439 7604199340 9885459142 12166718944 12927138878 15208398680 19770918284 24713647855 25854277756 30416797360 32317847195 39541836568 49427295710 51708555512 60833594720 64635694390 79083673136 84026402707 98854591420 103417111024 129271388780 158167346272 168052805414 197709182840 206834222048 258542777560 336105610828 395418365680 420132013535 517085555120 672211221656 790836731360 840264027070 1034171110240 1344422443312 1680528054140 2688844886624 3361056108280 6722112216560 13444224433120