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3444301421300 = 2252671201428039
BaseRepresentation
bin110010000111110000010…
…111001101101011110100
3110012021100021210000200102
4302013300113031223310
5422412412130440200
611154142404533232
7503562000011555
oct62076027155364
913167307700612
103444301421300
1111087a13a5653
124776416b1218
131bca47419bac
14bc9c2a4032c
155e8da5896d5
hex321f05cdaf4

3444301421300 has 72 divisors (see below), whose sum is σ = 7592022204480. Its totient is φ = 1356024384000.

The previous prime is 3444301421293. The next prime is 3444301421317. The reversal of 3444301421300 is 31241034443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7832681 + ... + 8260719.

It is an arithmetic number, because the mean of its divisors is an integer number (105444752840).

Almost surely, 23444301421300 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 3444301421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796011102240).

3444301421300 is an abundant number, since it is smaller than the sum of its proper divisors (4147720783180).

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

3444301421300 is a wasteful number, since it uses less digits than its factorization.

3444301421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429321 (or 429314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3444301421300 its reverse (31241034443), we get a palindrome (3475542455743).

The spelling of 3444301421300 in words is "three trillion, four hundred forty-four billion, three hundred one million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1201 1340 1675 2402 3350 4804 6005 6700 12010 24020 30025 60050 80467 120100 160934 321868 402335 428039 804670 856078 1609340 1712156 2011675 2140195 4023350 4280390 8046700 8560780 10700975 21401950 28678613 42803900 57357226 114714452 143393065 286786130 514074839 573572260 716965325 1028149678 1433930650 2056299356 2570374195 2867861300 5140748390 10281496780 12851870975 25703741950 34443014213 51407483900 68886028426 137772056852 172215071065 344430142130 688860284260 861075355325 1722150710650 3444301421300