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420207052240 = 24511346483081
BaseRepresentation
bin1100001110101100100…
…10101100010111010000
31111011121221200222112001
412013112102230113100
523341041001132430
6521012423243344
742234060003523
oct6072622542720
91434557628461
10420207052240
11152232a20878
12695325a9554
1330818b9c1a1
14164a3b84bba
15ade59133ca
hex61d64ac5d0

420207052240 has 40 divisors (see below), whose sum is σ = 985627270728. Its totient is φ = 166595358720.

The previous prime is 420207052229. The next prime is 420207052241. The reversal of 420207052240 is 42250702024.

It can be written as a sum of positive squares in 4 ways, for example, as 16051876416 + 404155175824 = 126696^2 + 635732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 420207052199 and 420207052208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420207052241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23232501 + ... + 23250580.

Almost surely, 2420207052240 is an apocalyptic number.

420207052240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420207052240 is an abundant number, since it is smaller than the sum of its proper divisors (565420218488).

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

420207052240 is a wasteful number, since it uses less digits than its factorization.

420207052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46483207 (or 46483201 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

Adding to 420207052240 its reverse (42250702024), we get a palindrome (462457754264).

The spelling of 420207052240 in words is "four hundred twenty billion, two hundred seven million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 46483081 92966162 185932324 232415405 371864648 464830810 743729296 929661620 1859323240 3718646480 5252588153 10505176306 21010352612 26262940765 42020705224 52525881530 84041410448 105051763060 210103526120 420207052240