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2444707057000 = 235313188054389
BaseRepresentation
bin100011100100110011111…
…001010100110101101000
322122201012211122000202211
4203210303321110311220
5310023230001311000
65111025524334504
7341424056056105
oct43446371246550
98581184560684
102444707057000
1186288144487a
12335973544434
131496c51b6ba0
1486478427aac
15438d474b7ba
hex23933e54d68

2444707057000 has 64 divisors (see below), whose sum is σ = 6160661816400. Its totient is φ = 902661062400.

The previous prime is 2444707056931. The next prime is 2444707057043. The reversal of 2444707057000 is 7507074442.

2444707057000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 340077918244 + 2104629138756 = 583162^2 + 1450734^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94014195 + ... + 94040194.

Almost surely, 22444707057000 is an apocalyptic number.

2444707057000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444707057000 is an abundant number, since it is smaller than the sum of its proper divisors (3715954759400).

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

2444707057000 is a wasteful number, since it uses less digits than its factorization.

2444707057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188054423 (or 188054409 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 40.

The spelling of 2444707057000 in words is "two trillion, four hundred forty-four billion, seven hundred seven million, fifty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 188054389 376108778 752217556 940271945 1504435112 1880543890 2444707057 3761087780 4701359725 4889414114 7522175560 9402719450 9778828228 12223535285 18805438900 19557656456 23506798625 24447070570 37610877800 47013597250 48894141140 61117676425 94027194500 97788282280 122235352850 188054389000 244470705700 305588382125 488941411400 611176764250 1222353528500 2444707057000