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20424002400040 = 2351516143550457
BaseRepresentation
bin1001010010011010101010…
…11010000110111100101000
32200022111220211210010120211
410221031111122012330220
510134111324103300130
6111234353541030504
74205404550660401
oct451152532067450
980274824703524
1020424002400040
1165648529a1888
12235a3850b5434
13b51c8a57b945
145087540c29a8
1525641da96a2a
hex129355686f28

20424002400040 has 64 divisors (see below), whose sum is σ = 46265950863360. Its totient is φ = 8114161804800.

The previous prime is 20424002400037. The next prime is 20424002400047. The reversal of 20424002400040 is 4000420042402.

It is a junction number, because it is equal to n+sod(n) for n = 20424002399984 and 20424002400020.

It is not an unprimeable number, because it can be changed into a prime (20424002400047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36828492 + ... + 37378948.

It is an arithmetic number, because the mean of its divisors is an integer number (722905482240).

Almost surely, 220424002400040 is an apocalyptic number.

20424002400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424002400040 is an abundant number, since it is smaller than the sum of its proper divisors (25841948463320).

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

20424002400040 is a wasteful number, since it uses less digits than its factorization.

20424002400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556762 (or 556758 counting only the distinct ones).

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

Adding to 20424002400040 its reverse (4000420042402), we get a palindrome (24424422442442).

The spelling of 20424002400040 in words is "twenty trillion, four hundred twenty-four billion, two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 6143 12286 24572 30715 49144 61430 122860 245720 550457 927593 1100914 1855186 2201828 2752285 3710372 4403656 4637965 5504570 7420744 9275930 11009140 18551860 22018280 37103720 83119007 166238014 332476028 415595035 664952056 831190070 1662380140 3324760280 3381457351 6762914702 13525829404 16907286755 27051658808 33814573510 67629147020 135258294040 510600060001 1021200120002 2042400240004 2553000300005 4084800480008 5106000600010 10212001200020 20424002400040