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4130043444 = 2233175342443
BaseRepresentation
bin1111011000101011…
…0111011000110100
3101122211101221112000
43312022313120310
531424242342234
61521453055300
7204226534662
oct36612673064
911584357460
104130043444
11182a33584a
12973187530
1350a853bb7
142b2725c32
151928b1899
hexf62b7634

4130043444 has 96 divisors (see below), whose sum is σ = 11551559040. Its totient is φ = 1271222784.

The previous prime is 4130043443. The next prime is 4130043481. The reversal of 4130043444 is 4443400314.

It is a super-2 number, since 2×41300434442 = 34114517698654762272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130043443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76087 + ... + 118529.

It is an arithmetic number, because the mean of its divisors is an integer number (120328740).

Almost surely, 24130043444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130043444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775779520).

4130043444 is an abundant number, since it is smaller than the sum of its proper divisors (7421515596).

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

4130043444 is a wasteful number, since it uses less digits than its factorization.

4130043444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42526 (or 42518 counting only the distinct ones).

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

The square root of 4130043444 is about 64265.4140576407. The cubic root of 4130043444 is about 1604.4205157569.

Adding to 4130043444 its reverse (4443400314), we get a palindrome (8573443758).

The spelling of 4130043444 in words is "four billion, one hundred thirty million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 102 106 108 153 159 204 212 306 318 459 477 612 636 901 918 954 1431 1802 1836 1908 2703 2862 3604 5406 5724 8109 10812 16218 24327 32436 42443 48654 84886 97308 127329 169772 254658 381987 509316 721531 763974 1145961 1443062 1527948 2164593 2249479 2291922 2886124 4329186 4498958 4583844 6493779 6748437 8658372 8997916 12987558 13496874 19481337 20245311 25975116 26993748 38241143 38962674 40490622 60735933 76482286 77925348 80981244 114723429 121471866 152964572 229446858 242943732 344170287 458893716 688340574 1032510861 1376681148 2065021722 4130043444