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43420020144 = 24317199267391
BaseRepresentation
bin101000011100000010…
…001110110110110000
311011002000102120011020
4220130002032312300
51202411011121034
631540305415440
73064663040004
oct503402166660
9134060376136
1043420020144
1117461518876
1284b933a580
13412c797a17
14215c8aa704
1511e1d96249
hexa1c08edb0

43420020144 has 80 divisors (see below), whose sum is σ = 119363788800. Its totient is φ = 13553464320.

The previous prime is 43420020143. The next prime is 43420020151. The reversal of 43420020144 is 44102002434.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (43420020143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28689 + ... + 296079.

It is an arithmetic number, because the mean of its divisors is an integer number (1492047360).

Almost surely, 243420020144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43420020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59681894400).

43420020144 is an abundant number, since it is smaller than the sum of its proper divisors (75943768656).

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

43420020144 is a wasteful number, since it uses less digits than its factorization.

43420020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267618 (or 267612 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 43420020144 its reverse (44102002434), we get a palindrome (87522022578).

The spelling of 43420020144 in words is "forty-three billion, four hundred twenty million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 199 204 272 398 408 597 796 816 1194 1592 2388 3184 3383 4776 6766 9552 10149 13532 20298 27064 40596 54128 81192 162384 267391 534782 802173 1069564 1604346 2139128 3208692 4278256 4545647 6417384 9091294 12834768 13636941 18182588 27273882 36365176 53210809 54547764 72730352 106421618 109095528 159632427 212843236 218191056 319264854 425686472 638529708 851372944 904583753 1277059416 1809167506 2554118832 2713751259 3618335012 5427502518 7236670024 10855005036 14473340048 21710010072 43420020144