Search a number
-
+
42202042240 = 27565940691
BaseRepresentation
bin100111010011011100…
…000000111110000000
311000221010120212120111
4213103130000332000
51142412210322430
631215400121104
73022543304011
oct472334007600
9130833525514
1042202042240
1116996a52a66
128219466194
133c9734a637
142084c1b008
15116eea8c2a
hex9d3700f80

42202042240 has 32 divisors (see below), whose sum is σ = 100889258760. Its totient is φ = 16880816640.

The previous prime is 42202042229. The next prime is 42202042243. The reversal of 42202042240 is 4224020224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202042243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32969706 + ... + 32970985.

Almost surely, 242202042240 is an apocalyptic number.

42202042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42202042240 is an abundant number, since it is smaller than the sum of its proper divisors (58687216520).

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

42202042240 is an equidigital number, since it uses as much as digits as its factorization.

42202042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65940710 (or 65940698 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42202042240 its reverse (4224020224), we get a palindrome (46426062464).

The spelling of 42202042240 in words is "forty-two billion, two hundred two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 65940691 131881382 263762764 329703455 527525528 659406910 1055051056 1318813820 2110102112 2637627640 4220204224 5275255280 8440408448 10550510560 21101021120 42202042240