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4431430240 = 255231816653
BaseRepresentation
bin1000010000010001…
…00100001001100000
3102102211111222110221
410020020210021200
533033421231430
62011420532424
7214546351456
oct41010441140
912384458427
104431430240
111974477146
12a380b1114
13558118c93
1430077a9d6
151ae09657a
hex108224260

4431430240 has 96 divisors (see below), whose sum is σ = 10986446016. Its totient is φ = 1685882880.

The previous prime is 4431430219. The next prime is 4431430243. The reversal of 4431430240 is 420341344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431430243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662754 + ... + 669406.

It is an arithmetic number, because the mean of its divisors is an integer number (114442146).

Almost surely, 24431430240 is an apocalyptic number.

4431430240 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 4431430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493223008).

4431430240 is an abundant number, since it is smaller than the sum of its proper divisors (6555015776).

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

4431430240 is a wasteful number, since it uses less digits than its factorization.

4431430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4431430240 is about 66568.9885757625. The cubic root of 4431430240 is about 1642.5350245476.

Adding to 4431430240 its reverse (420341344), we get a palindrome (4851771584).

The spelling of 4431430240 in words is "four billion, four hundred thirty-one million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 181 184 230 362 368 460 724 736 905 920 1448 1810 1840 2896 3620 3680 4163 5792 6653 7240 8326 13306 14480 16652 20815 26612 28960 33265 33304 41630 53224 66530 66608 83260 106448 133060 133216 153019 166520 212896 266120 306038 333040 532240 612076 666080 765095 1064480 1204193 1224152 1530190 2408386 2448304 3060380 4816772 4896608 6020965 6120760 9633544 12041930 12241520 19267088 24083860 24483040 27696439 38534176 48167720 55392878 96335440 110785756 138482195 192670880 221571512 276964390 443143024 553928780 886286048 1107857560 2215715120 4431430240