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4313040120 = 2332544926683
BaseRepresentation
bin1000000010001001…
…11100010011111000
3102010120202010202200
410001010330103320
532313114240440
61551551230200
7211611143664
oct40104742370
912116663680
104313040120
111913664974
12a04518360
13539736a5c
142ccb5d8a4
151a39acc30
hex10113c4f8

4313040120 has 96 divisors (see below), whose sum is σ = 14049126000. Its totient is φ = 1147539456.

The previous prime is 4313040119. The next prime is 4313040139. The reversal of 4313040120 is 210403134.

It is a super-2 number, since 2×43130401202 = 37204630153459228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4313040093 and 4313040102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 148299 + ... + 174981.

Almost surely, 24313040120 is an apocalyptic number.

4313040120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4313040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024563000).

4313040120 is an abundant number, since it is smaller than the sum of its proper divisors (9736085880).

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

4313040120 is a wasteful number, since it uses less digits than its factorization.

4313040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27149 (or 27142 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4313040120 is about 65673.7399574594. The cubic root of 4313040120 is about 1627.7754692388.

Adding to 4313040120 its reverse (210403134), we get a palindrome (4523443254).

The spelling of 4313040120 in words is "four billion, three hundred thirteen million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 449 898 1347 1796 2245 2694 3592 4041 4490 5388 6735 8082 8980 10776 13470 16164 17960 20205 26683 26940 32328 40410 53366 53880 80049 80820 106732 133415 160098 161640 213464 240147 266830 320196 400245 480294 533660 640392 800490 960588 1067320 1200735 1600980 1921176 2401470 3201960 4802940 9605880 11980667 23961334 35942001 47922668 59903335 71884002 95845336 107826003 119806670 143768004 179710005 215652006 239613340 287536008 359420010 431304012 479226680 539130015 718840020 862608024 1078260030 1437680040 2156520060 4313040120