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4042340120 = 2357131110533
BaseRepresentation
bin1111000011110001…
…0011011100011000
3101102201101011011202
43300330103130120
531234314340440
61505041213332
7202113216110
oct36074233430
911381334152
104042340120
111794882a65
12949931248
134c5627440
142a4c16040
15189d3a615
hexf0f13718

4042340120 has 64 divisors (see below), whose sum is σ = 11194182720. Its totient is φ = 1279332864.

The previous prime is 4042340063. The next prime is 4042340143. The reversal of 4042340120 is 210432404.

4042340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40423401202 = 32681027291523228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4042340092 and 4042340101.

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, 551627 + ... + 558906.

It is an arithmetic number, because the mean of its divisors is an integer number (174909105).

Almost surely, 24042340120 is an apocalyptic number.

4042340120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042340120 is an abundant number, since it is smaller than the sum of its proper divisors (7151842600).

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

4042340120 is a wasteful number, since it uses less digits than its factorization.

4042340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110564 (or 1110560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4042340120 is about 63579.4001229958. The cubic root of 4042340120 is about 1592.9823014009.

Adding to 4042340120 its reverse (210432404), we get a palindrome (4252772524).

The spelling of 4042340120 in words is "four billion, forty-two million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 1110533 2221066 4442132 5552665 7773731 8884264 11105330 14436929 15547462 22210660 28873858 31094924 38868655 44421320 57747716 62189848 72184645 77737310 101058503 115495432 144369290 155474620 202117006 288738580 310949240 404234012 505292515 577477160 808468024 1010585030 2021170060 4042340120