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2115145344 = 27313423707
BaseRepresentation
bin111111000010010…
…1000111010000000
312110102000111221110
41332010220322000
513312434122334
6545514523320
7103262303334
oct17604507200
95412014843
102115145344
11995a43004
124b0436540
132792916c0
14160cad7c4
15c5a59ae9
hex7e128e80

2115145344 has 64 divisors (see below), whose sum is σ = 6050550240. Its totient is φ = 650812416.

The previous prime is 2115145313. The next prime is 2115145381. The reversal of 2115145344 is 4435415112.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206862 + ... + 216845.

Almost surely, 22115145344 is an apocalyptic number.

2115145344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2115145344 is an abundant number, since it is smaller than the sum of its proper divisors (3935404896).

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

2115145344 is a wasteful number, since it uses less digits than its factorization.

2115145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423737 (or 423725 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 2115145344 is about 45990.7093226447. The cubic root of 2115145344 is about 1283.6503351975.

The spelling of 2115145344 in words is "two billion, one hundred fifteen million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 423707 847414 1271121 1694828 2542242 3389656 5084484 5508191 6779312 10168968 11016382 13558624 16524573 20337936 22032764 27117248 33049146 40675872 44065528 54234496 66098292 81351744 88131056 132196584 162703488 176262112 264393168 352524224 528786336 705048448 1057572672 2115145344