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4314243120 = 2435111634183
BaseRepresentation
bin1000000010010011…
…00010000000110000
3102010200000020222020
410001021202000300
532313421234440
61552033111440
7211624314165
oct40111420060
912120006866
104314243120
111914306790
12a049b8580
13539a684a5
142ccd9406c
151a3b493d0
hex101262030

4314243120 has 80 divisors (see below), whose sum is σ = 14589994752. Its totient is φ = 1045876480.

The previous prime is 4314243083. The next prime is 4314243161. The reversal of 4314243120 is 213424134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43142431202 = 37225387396934668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 814452 + ... + 819731.

Almost surely, 24314243120 is an apocalyptic number.

4314243120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314243120 is an abundant number, since it is smaller than the sum of its proper divisors (10275751632).

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

4314243120 is a wasteful number, since it uses less digits than its factorization.

4314243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634210 (or 1634204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4314243120 is about 65682.8982308180. The cubic root of 4314243120 is about 1627.9267957433.

Adding to 4314243120 its reverse (213424134), we get a palindrome (4527667254).

The spelling of 4314243120 in words is "four billion, three hundred fourteen million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1634183 3268366 4902549 6536732 8170915 9805098 13073464 16341830 17976013 19610196 24512745 26146928 32683660 35952026 39220392 49025490 53928039 65367320 71904052 78440784 89880065 98050980 107856078 130734640 143808104 179760130 196101960 215712156 269640195 287616208 359520260 392203920 431424312 539280390 719040520 862848624 1078560780 1438081040 2157121560 4314243120