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2042544042 = 2327111977563
BaseRepresentation
bin111100110111110…
…1011111110101010
312021100101222200100
41321233223332222
513140342402132
6534402450230
7101421223620
oct17157537652
95240358610
102042544042
11958a65630
12490063976
13267221b56
141553b1510
15be4b837c
hex79bebfaa

2042544042 has 96 divisors (see below), whose sum is σ = 5807992320. Its totient is φ = 502601760.

The previous prime is 2042544029. The next prime is 2042544047. The reversal of 2042544042 is 2404452402.

2042544042 is a `hidden beast` number, since 2 + 0 + 4 + 254 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042543997 and 2042544015.

It is not an unprimeable number, because it can be changed into a prime (2042544047) 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, 12448 + ... + 65115.

It is an arithmetic number, because the mean of its divisors is an integer number (60499920).

Almost surely, 22042544042 is an apocalyptic number.

2042544042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2042544042 is an abundant number, since it is smaller than the sum of its proper divisors (3765448278).

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

2042544042 is a wasteful number, since it uses less digits than its factorization.

2042544042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77608 (or 77605 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2042544042 is about 45194.5134059434. The cubic root of 2042544042 is about 1268.7921311869.

Adding to 2042544042 its reverse (2404452402), we get a palindrome (4446996444).

The spelling of 2042544042 in words is "two billion, forty-two million, five hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8778 13167 26334 77563 155126 232689 465378 542941 698067 853193 1085882 1396134 1473697 1628823 1706386 2559579 2947394 3257646 4421091 4886469 5119158 5972351 7678737 8842182 9772938 10315879 11944702 13263273 15357474 16210667 17917053 20631758 26526546 30947637 32421334 35834106 48632001 53751159 61895274 92842911 97264002 107502318 113474669 145896003 185685822 226949338 291792006 340424007 680848014 1021272021 2042544042