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1300114440 = 2332517212437
BaseRepresentation
bin100110101111110…
…0010110000001000
310100121101122201200
41031133202300020
510130312130230
6333001544200
744134535052
oct11537426010
93317348650
101300114440
11607976249
123034a5060
131794780b1
14c49508d2
1579214160
hex4d7e2c08

1300114440 has 96 divisors (see below), whose sum is σ = 4473944280. Its totient is φ = 326301696.

The previous prime is 1300114397. The next prime is 1300114477. The reversal of 1300114440 is 444110031.

It can be written as a sum of positive squares in 4 ways, for example, as 1239180804 + 60933636 = 35202^2 + 7806^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 100099 + ... + 112338.

Almost surely, 21300114440 is an apocalyptic number.

1300114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300114440 is an abundant number, since it is smaller than the sum of its proper divisors (3173829840).

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

1300114440 is a wasteful number, since it uses less digits than its factorization.

1300114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212471 (or 212464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1300114440 is about 36057.0997169767. The cubic root of 1300114440 is about 1091.4249075064.

Adding to 1300114440 its reverse (444110031), we get a palindrome (1744224471).

The spelling of 1300114440 in words is "one billion, three hundred million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 212437 424874 637311 849748 1062185 1274622 1699496 1911933 2124370 2549244 3186555 3611429 3823866 4248740 5098488 6373110 7222858 7647732 8497480 9559665 10834287 12746220 14445716 15295464 18057145 19119330 21668574 25492440 28891432 32502861 36114290 38238660 43337148 54171435 65005722 72228580 76477320 86674296 108342870 130011444 144457160 162514305 216685740 260022888 325028610 433371480 650057220 1300114440