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20242355040 = 2532514057191
BaseRepresentation
bin10010110110100010…
…011101001101100000
31221020201120011212100
4102312202131031200
5312424020330130
613144343530400
71314424115235
oct226642351540
957221504770
1020242355040
118648310a46
123b0b159a00
131ba797169b
14da057178c
157d718ec60
hex4b689d360

20242355040 has 72 divisors (see below), whose sum is σ = 69077041488. Its totient is φ = 5397960960.

The previous prime is 20242355009. The next prime is 20242355041. The reversal of 20242355040 is 4055324202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 20242354995 and 20242355013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242355041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7027156 + ... + 7030035.

It is an arithmetic number, because the mean of its divisors is an integer number (959403354).

Almost surely, 220242355040 is an apocalyptic number.

20242355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242355040 is an abundant number, since it is smaller than the sum of its proper divisors (48834686448).

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

20242355040 is a wasteful number, since it uses less digits than its factorization.

20242355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14057212 (or 14057201 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 20242355040 its reverse (4055324202), we get a palindrome (24297679242).

The spelling of 20242355040 in words is "twenty billion, two hundred forty-two million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14057191 28114382 42171573 56228764 70285955 84343146 112457528 126514719 140571910 168686292 210857865 224915056 253029438 281143820 337372584 421715730 449830112 506058876 562287640 632573595 674745168 843431460 1012117752 1124575280 1265147190 1349490336 1686862920 2024235504 2249150560 2530294380 3373725840 4048471008 5060588760 6747451680 10121177520 20242355040