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20424334440 = 2335592884793
BaseRepresentation
bin10011000001011000…
…101001110001101000
31221201101222200200010
4103001120221301220
5313312112200230
613214404211520
71322063656356
oct230130516150
957641880603
1020424334440
118731005844
123b60099ba0
131c065894c3
14dba7c27d6
157e81399b0
hex4c1629c68

20424334440 has 64 divisors (see below), whose sum is σ = 62311550400. Its totient is φ = 5354173952.

The previous prime is 20424334439. The next prime is 20424334451. The reversal of 20424334440 is 4443342402.

It is a super-2 number, since 2×204243344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20424334398 and 20424334407.

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, 1435317 + ... + 1449476.

It is an arithmetic number, because the mean of its divisors is an integer number (973617975).

Almost surely, 220424334440 is an apocalyptic number.

20424334440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424334440 is an abundant number, since it is smaller than the sum of its proper divisors (41887215960).

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

20424334440 is a wasteful number, since it uses less digits than its factorization.

20424334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884866 (or 2884862 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 20424334440 its reverse (4443342402), we get a palindrome (24867676842).

The spelling of 20424334440 in words is "twenty billion, four hundred twenty-four million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 2884793 5769586 8654379 11539172 14423965 17308758 23078344 28847930 34617516 43271895 57695860 69235032 86543790 115391720 170202787 173087580 340405574 346175160 510608361 680811148 851013935 1021216722 1361622296 1702027870 2042433444 2553041805 3404055740 4084866888 5106083610 6808111480 10212167220 20424334440