Search a number
-
+
20422130324040 = 23325518691093681
BaseRepresentation
bin1001010010010111001011…
…10100101101001001001000
32200022100002101010211002200
410221023211310231021020
510134044010330332130
6111233444104000200
74205310266412024
oct451134564551110
980270071124080
1020422130324040
116563a82189435
122359b42160060
13b51a4c774173
14508617607384
1525635e552760
hex1292e5d2d248

20422130324040 has 96 divisors (see below), whose sum is σ = 66373263847800. Its totient is φ = 5445791447040.

The previous prime is 20422130324023. The next prime is 20422130324059. The reversal of 20422130324040 is 4042303122402.

20422130324040 is a `hidden beast` number, since 2 + 0 + 4 + 221 + 3 + 0 + 32 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17591196202596 + 2830934121444 = 4194186^2 + 1682538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20422130323995 and 20422130324013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18126000 + ... + 19219680.

Almost surely, 220422130324040 is an apocalyptic number.

20422130324040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20422130324040 is an abundant number, since it is smaller than the sum of its proper divisors (45951133523760).

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

20422130324040 is a wasteful number, since it uses less digits than its factorization.

20422130324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145567 (or 1145560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20422130324040 its reverse (4042303122402), we get a palindrome (24464433446442).

The spelling of 20422130324040 in words is "twenty trillion, four hundred twenty-two billion, one hundred thirty million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 51869 103738 155607 207476 259345 311214 414952 466821 518690 622428 778035 933642 1037380 1093681 1244856 1556070 1867284 2074760 2187362 2334105 3112140 3281043 3734568 4374724 4668210 5468405 6224280 6562086 8749448 9336420 9843129 10936810 13124172 16405215 18672840 19686258 21873620 26248344 32810430 39372516 43747240 49215645 65620860 78745032 98431290 131241720 196862580 393725160 56728139789 113456279578 170184419367 226912559156 283640698945 340368838734 453825118312 510553258101 567281397890 680737677468 850922096835 1021106516202 1134562795780 1361475354936 1701844193670 2042213032404 2269125591560 2552766290505 3403688387340 4084426064808 5105532581010 6807376774680 10211065162020 20422130324040