Search a number
-
+
420341131320 = 233511318440251
BaseRepresentation
bin1100001110111100100…
…10001010100000111000
31111011222021222220102220
412013132102022200320
523341324312200240
6521034013124040
742240305443605
oct6073622124070
91434867886386
10420341131320
111522a1679430
126956b489620
133083a8b5516
14164b78c76ac
15ae0259a5d0
hex61de48a838

420341131320 has 64 divisors (see below), whose sum is σ = 1375661888640. Its totient is φ = 101900880000.

The previous prime is 420341131319. The next prime is 420341131363. The reversal of 420341131320 is 23131143024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159218806 + ... + 159221445.

It is an arithmetic number, because the mean of its divisors is an integer number (21494717010).

Almost surely, 2420341131320 is an apocalyptic number.

420341131320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420341131320 is an abundant number, since it is smaller than the sum of its proper divisors (955320757320).

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

420341131320 is a wasteful number, since it uses less digits than its factorization.

420341131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318440276 (or 318440272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 420341131320 its reverse (23131143024), we get a palindrome (443472274344).

The spelling of 420341131320 in words is "four hundred twenty billion, three hundred forty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 318440251 636880502 955320753 1273761004 1592201255 1910641506 2547522008 3184402510 3502842761 3821283012 4776603765 6368805020 7005685522 7642566024 9553207530 10508528283 12737610040 14011371044 17514213805 19106415060 21017056566 28022742088 35028427610 38212830120 42034113132 52542641415 70056855220 84068226264 105085282830 140113710440 210170565660 420341131320