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20242414240 = 255527323993
BaseRepresentation
bin10010110110100010…
…101011101010100000
31221020201200012001221
4102312202223222200
5312424024223430
613144345104424
71314424452646
oct226642535240
957221605057
1020242414240
118648351474
123b0b188114
131ba7992609
14da0589196
157d71a257a
hex4b68abaa0

20242414240 has 48 divisors (see below), whose sum is σ = 47833766568. Its totient is φ = 8095092736.

The previous prime is 20242414229. The next prime is 20242414271. The reversal of 20242414240 is 4241424202.

It can be written as a sum of positive squares in 4 ways, for example, as 9085139856 + 11157274384 = 95316^2 + 105628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 831684 + ... + 855676.

Almost surely, 220242414240 is an apocalyptic number.

20242414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242414240 is an abundant number, since it is smaller than the sum of its proper divisors (27591352328).

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

20242414240 is a wasteful number, since it uses less digits than its factorization.

20242414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29281 (or 29273 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 20242414240 its reverse (4241424202), we get a palindrome (24483838442).

The spelling of 20242414240 in words is "twenty billion, two hundred forty-two million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5273 10546 21092 23993 26365 42184 47986 52730 84368 95972 105460 119965 168736 191944 210920 239930 383888 421840 479860 767776 843680 959720 1919440 3838880 126515089 253030178 506060356 632575445 1012120712 1265150890 2024241424 2530301780 4048482848 5060603560 10121207120 20242414240