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20214133042240 = 265122951398833
BaseRepresentation
bin1001001100010011110000…
…01110000010110001000000
32122120110012200120010101001
410212021320032002301000
510122142021024322430
6110554124452221344
74154265026605444
oct446117016026100
978513180503331
1020214133042240
116493847137035
12232577430a854
13b382526541a7
144dc525368824
15250c38e6d3ca
hex126278382c40

20214133042240 has 56 divisors (see below), whose sum is σ = 48174071154840. Its totient is φ = 8079074009088.

The previous prime is 20214133042171. The next prime is 20214133042283. The reversal of 20214133042240 is 4224033141202.

It can be written as a sum of positive squares in 4 ways, for example, as 9765775000576 + 10448358041664 = 3125024^2 + 3232392^2 .

It is a super-2 number, since 2×202141330422402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20214133042199 and 20214133042208.

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, 25306137 + ... + 26092696.

Almost surely, 220214133042240 is an apocalyptic number.

20214133042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20214133042240 is an abundant number, since it is smaller than the sum of its proper divisors (27959938112600).

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

20214133042240 is a wasteful number, since it uses less digits than its factorization.

20214133042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51400079 (or 51400069 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20214133042240 its reverse (4224033141202), we get a palindrome (24438166183442).

The spelling of 20214133042240 in words is "twenty trillion, two hundred fourteen billion, one hundred thirty-three million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1229 2458 4916 6145 9832 12290 19664 24580 39328 49160 78656 98320 196640 393280 51398833 102797666 205595332 256994165 411190664 513988330 822381328 1027976660 1644762656 2055953320 3289525312 4111906640 8223813280 16447626560 63169165757 126338331514 252676663028 315845828785 505353326056 631691657570 1010706652112 1263383315140 2021413304224 2526766630280 4042826608448 5053533260560 10107066521120 20214133042240