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2830410144 = 25329827813
BaseRepresentation
bin1010100010110100…
…1010000110100000
321022020220201210100
42220231022012200
521244041111034
61144505302400
7130066042422
oct25055120640
97266821710
102830410144
111222769041
1266ba94a00
13361516b03
141cbc9c812
15118745099
hexa8b4a1a0

2830410144 has 36 divisors (see below), whose sum is σ = 8048979666. Its totient is φ = 943469952.

The previous prime is 2830410103. The next prime is 2830410151. The reversal of 2830410144 is 4410140382.

It can be written as a sum of positive squares in only one way, i.e., 2414739600 + 415670544 = 49140^2 + 20388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×28304101442 = 16022443166516201472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4913619 + ... + 4914194.

Almost surely, 22830410144 is an apocalyptic number.

2830410144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2830410144 is an abundant number, since it is smaller than the sum of its proper divisors (5218569522).

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

2830410144 is a wasteful number, since it uses less digits than its factorization.

2830410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9827829 (or 9827818 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2830410144 is about 53201.5990737121. The cubic root of 2830410144 is about 1414.5439883732.

The spelling of 2830410144 in words is "two billion, eight hundred thirty million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9827813 19655626 29483439 39311252 58966878 78622504 88450317 117933756 157245008 176900634 235867512 314490016 353801268 471735024 707602536 943470048 1415205072 2830410144