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1044430242102 = 23213167103325873
BaseRepresentation
bin11110011001011001110…
…01001100000100110110
310200211212010202120122100
433030230321030010312
5114102443120221402
62115445444442530
7135312645402402
oct17145471140466
93624763676570
101044430242102
11372a38709445
1214a5016a9446
137764913c320
143879d162102
151c27c15c71c
hexf32ce4c136

1044430242102 has 96 divisors (see below), whose sum is σ = 2454064861248. Its totient is φ = 319117252608.

The previous prime is 1044430242101. The next prime is 1044430242127. The reversal of 1044430242102 is 2012420344401.

1044430242102 is a `hidden beast` number, since 1 + 0 + 4 + 443 + 0 + 2 + 4 + 210 + 2 = 666.

1044430242102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044430242101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40354638 + ... + 40380510.

It is an arithmetic number, because the mean of its divisors is an integer number (25563175638).

Almost surely, 21044430242102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044430242102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227032430624).

1044430242102 is an abundant number, since it is smaller than the sum of its proper divisors (1409634619146).

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

1044430242102 is a wasteful number, since it uses less digits than its factorization.

1044430242102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27094 (or 27091 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1044430242102 its reverse (2012420344401), we get a palindrome (3056850586503).

The spelling of 1044430242102 in words is "one trillion, forty-four billion, four hundred thirty million, two hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1033 1503 2066 2171 3006 3099 4342 6198 6513 9297 13026 13429 18594 19539 25873 26858 39078 40287 51746 77619 80574 120861 155238 172511 232857 241722 336349 345022 465714 517533 672698 1009047 1035066 1552599 2018094 2242643 3027141 3105198 4320791 4485286 6054282 6727929 8641582 12962373 13455858 20183787 25924746 26726809 38887119 40367574 53453618 56170283 77774238 80180427 112340566 160360854 168510849 240541281 337021698 347448517 481082562 505532547 694897034 1011065094 1042345551 2084691102 3127036653 4463377103 6254073306 8926754206 13390131309 26780262618 40170393927 58023902339 80340787854 116047804678 174071707017 348143414034 522215121051 1044430242102