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420314522420 = 225132124353409
BaseRepresentation
bin1100001110111001011…
…00101010001100110100
31111011220102221000220002
412013130230222030310
523341301004204140
6521031222530432
742236533330622
oct6073454521464
91434812830802
10420314522420
11152288654801
1269562596a18
1330835229c00
14164b415c512
15ae00091415
hex61dcb2a334

420314522420 has 36 divisors (see below), whose sum is σ = 955780309260. Its totient is φ = 155193053184.

The previous prime is 420314522399. The next prime is 420314522423. The reversal of 420314522420 is 24225413024.

It can be written as a sum of positive squares in 6 ways, for example, as 11704643344 + 408609879076 = 108188^2 + 639226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420314522423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62173325 + ... + 62180084.

It is an arithmetic number, because the mean of its divisors is an integer number (26549453035).

Almost surely, 2420314522420 is an apocalyptic number.

It is an amenable number.

420314522420 is an abundant number, since it is smaller than the sum of its proper divisors (535465786840).

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

420314522420 is a wasteful number, since it uses less digits than its factorization.

420314522420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124353444 (or 124353429 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 420314522420 its reverse (24225413024), we get a palindrome (444539935444).

The spelling of 420314522420 in words is "four hundred twenty billion, three hundred fourteen million, five hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 124353409 248706818 497413636 621767045 1243534090 1616594317 2487068180 3233188634 6466377268 8082971585 16165943170 21015726121 32331886340 42031452242 84062904484 105078630605 210157261210 420314522420