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4344223140 = 22325149161977
BaseRepresentation
bin1000000101110111…
…11001010110100100
3102012202102101211100
410002323321112210
532344110120030
61555023440100
7212440200405
oct40273712644
912182371740
104344223140
11192a223164
12a12a56030
1354303434a
142d2d599ac
151a65bc360
hex102ef95a4

4344223140 has 72 divisors (see below), whose sum is σ = 13265998200. Its totient is φ = 1150677504.

The previous prime is 4344223139. The next prime is 4344223157. The reversal of 4344223140 is 413224434.

It is a happy number.

4344223140 is a `hidden beast` number, since 4 + 344 + 2 + 2 + 314 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41912676 + 4302310464 = 6474^2 + 65592^2 .

It is a super-2 number, since 2×43442231402 = 37744549380222919200, which contains 22 as substring.

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, 54169 + ... + 107808.

It is an arithmetic number, because the mean of its divisors is an integer number (184249975).

Almost surely, 24344223140 is an apocalyptic number.

It is an amenable number.

4344223140 is an abundant number, since it is smaller than the sum of its proper divisors (8921775060).

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

4344223140 is a wasteful number, since it uses less digits than its factorization.

4344223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162141 (or 162136 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4344223140 is about 65910.7209792155. The cubic root of 4344223140 is about 1631.6889590692.

Adding to 4344223140 its reverse (413224434), we get a palindrome (4757447574).

The spelling of 4344223140 in words is "four billion, three hundred forty-four million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5364 6705 8940 13410 26820 161977 323954 485931 647908 809885 971862 1457793 1619770 1943724 2429655 2915586 3239540 4859310 5831172 7288965 9718620 14577930 24134573 29155860 48269146 72403719 96538292 120672865 144807438 217211157 241345730 289614876 362018595 434422314 482691460 724037190 868844628 1086055785 1448074380 2172111570 4344223140