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1044244142120 = 235417915153377
BaseRepresentation
bin11110011001000011100…
…11010001100000101000
310200211101011120201110102
433030201303101200220
5114102103000021440
62115415200004532
7135305225520014
oct17144163214050
93624334521412
101044244142120
1137295265a803
1214a46b300748
1377619710aaa
143878255b544
151c26ab4bb15
hexf321cd1828

1044244142120 has 128 divisors (see below), whose sum is σ = 2453509094400. Its totient is φ = 399679488000.

The previous prime is 1044244142107. The next prime is 1044244142131. The reversal of 1044244142120 is 212414424401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19536872 + ... + 19590248.

It is an arithmetic number, because the mean of its divisors is an integer number (19168039800).

Almost surely, 21044244142120 is an apocalyptic number.

1044244142120 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 1044244142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226754547200).

1044244142120 is an abundant number, since it is smaller than the sum of its proper divisors (1409264952280).

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

1044244142120 is a wasteful number, since it uses less digits than its factorization.

1044244142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53659 (or 53655 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 1044244142120 its reverse (212414424401), we get a palindrome (1256658566521).

The spelling of 1044244142120 in words is "one trillion, forty-four billion, two hundred forty-four million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 151 158 164 205 302 316 328 395 410 604 632 755 790 820 1208 1510 1580 1640 3020 3160 3239 6040 6191 6478 11929 12382 12956 16195 23858 24764 25912 30955 32390 47716 49528 53377 59645 61910 64780 95432 106754 119290 123820 129560 213508 238580 247640 266885 427016 477160 489089 533770 978178 1067540 1956356 2135080 2188457 2445445 3912712 4216783 4376914 4890890 8059927 8433566 8753828 9781780 10942285 16119854 16867132 17507656 19563560 21083915 21884570 32239708 33734264 40299635 42167830 43769140 64479416 80599270 84335660 87538280 161198540 168671320 172888103 322397080 330457007 345776206 636734233 660914014 691552412 864440515 1273468466 1321828028 1383104824 1652285035 1728881030 2546936932 2643656056 3183671165 3304570070 3457762060 5093873864 6367342330 6609140140 6915524120 12734684660 13218280280 25469369320 26106103553 52212207106 104424414212 130530517765 208848828424 261061035530 522122071060 1044244142120