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420341114320 = 24524509214381
BaseRepresentation
bin1100001110111100100…
…10000110010111010000
31111011222021222001010021
412013132102012113100
523341324311124240
6521034012513224
742240305343211
oct6073622062720
91434867861107
10420341114320
111522a1667686
126956b47b814
133083a8aa86a
14164b78c1408
15ae0259554a
hex61de4865d0

420341114320 has 40 divisors (see below), whose sum is σ = 977337524520. Its totient is φ = 168128801280.

The previous prime is 420341114267. The next prime is 420341114327. The reversal of 420341114320 is 23411143024.

It can be written as a sum of positive squares in 4 ways, for example, as 186309636496 + 234031477824 = 431636^2 + 483768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420341114327) 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, 1853530 + ... + 2067910.

It is an arithmetic number, because the mean of its divisors is an integer number (24433438113).

Almost surely, 2420341114320 is an apocalyptic number.

420341114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420341114320 is an abundant number, since it is smaller than the sum of its proper divisors (556996410200).

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

420341114320 is a wasteful number, since it uses less digits than its factorization.

420341114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238903 (or 238897 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 420341114320 its reverse (23411143024), we get a palindrome (443752257344).

The spelling of 420341114320 in words is "four hundred twenty billion, three hundred forty-one million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 24509 49018 98036 122545 196072 214381 245090 392144 428762 490180 857524 980360 1071905 1715048 1960720 2143810 3430096 4287620 8575240 17150480 5254263929 10508527858 21017055716 26271319645 42034111432 52542639290 84068222864 105085278580 210170557160 420341114320