Search a number
-
+
3444814810680 = 2335101928171531
BaseRepresentation
bin110010001000001110111…
…101101000111000111000
3110012022200001210220111220
4302020032331220320320
5422414440042420210
611154305344352040
7503610502522605
oct62101675507070
913168601726456
103444814810680
111108a351776a1
12477765615620
131bcac98ac4a9
14bca30cbd6ac
155e91a699c70
hex3220ef68e38

3444814810680 has 64 divisors (see below), whose sum is σ = 10344586550400. Its totient is φ = 917715761280.

The previous prime is 3444814810669. The next prime is 3444814810733. The reversal of 3444814810680 is 860184184443.

It is a congruent number.

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, 13963486 + ... + 14208045.

It is an arithmetic number, because the mean of its divisors is an integer number (161634164850).

Almost surely, 23444814810680 is an apocalyptic number.

3444814810680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444814810680 is an abundant number, since it is smaller than the sum of its proper divisors (6899771739720).

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

3444814810680 is a wasteful number, since it uses less digits than its factorization.

3444814810680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28172564 (or 28172560 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 3444814810680 in words is "three trillion, four hundred forty-four billion, eight hundred fourteen million, eight hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1019 2038 3057 4076 5095 6114 8152 10190 12228 15285 20380 24456 30570 40760 61140 122280 28171531 56343062 84514593 112686124 140857655 169029186 225372248 281715310 338058372 422572965 563430620 676116744 845145930 1126861240 1690291860 3380583720 28706790089 57413580178 86120370267 114827160356 143533950445 172240740534 229654320712 287067900890 344481481068 430601851335 574135801780 688962962136 861203702670 1148271603560 1722407405340 3444814810680