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3444434243000 = 235317379534601
BaseRepresentation
bin110010000111111000010…
…001111000110110111000
3110012021200112201001210122
4302013320101320312320
5422413200131234000
611154203511432412
7503565201664052
oct62077021706670
913167615631718
103444434243000
11110885a374553
1247767a085708
131bca68ab2b0a
14bc9d65368d2
155e8e7074085
hex321f8478db8

3444434243000 has 128 divisors (see below), whose sum is σ = 8556625771200. Its totient is φ = 1293304320000.

The previous prime is 3444434242993. The next prime is 3444434243009. The reversal of 3444434243000 is 3424344443.

3444434243000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444434243009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6175700 + ... + 6710300.

Almost surely, 23444434243000 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 3444434243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278312885600).

3444434243000 is an abundant number, since it is smaller than the sum of its proper divisors (5112191528200).

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

3444434243000 is a wasteful number, since it uses less digits than its factorization.

3444434243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535018 (or 535004 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 3444434243000 its reverse (3424344443), we get a palindrome (3447858587443).

The spelling of 3444434243000 in words is "three trillion, four hundred forty-four billion, four hundred thirty-four million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 379 425 500 680 758 850 1000 1516 1700 1895 2125 3032 3400 3790 4250 6443 7580 8500 9475 12886 15160 17000 18950 25772 32215 37900 47375 51544 64430 75800 94750 128860 161075 189500 257720 322150 379000 534601 644300 805375 1069202 1288600 1610750 2138404 2673005 3221500 4276808 5346010 6443000 9088217 10692020 13365025 18176434 21384040 26730050 36352868 45441085 53460100 66825125 72705736 90882170 106920200 133650250 181764340 202613779 227205425 267300500 363528680 405227558 454410850 534601000 810455116 908821700 1013068895 1136027125 1620910232 1817643400 2026137790 2272054250 3444434243 4052275580 4544108500 5065344475 6888868486 8104551160 9088217000 10130688950 13777736972 17222171215 20261377900 25326722375 27555473944 34444342430 40522755800 50653444750 68888684860 86110856075 101306889500 137777369720 172221712150 202613779000 344443424300 430554280375 688886848600 861108560750 1722217121500 3444434243000