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4314232440 = 23325721991229
BaseRepresentation
bin1000000010010010…
…11111011001111000
3102010122222201022200
410001021133121320
532313420414230
61552032550200
7211624241100
oct40111373170
912118881280
104314232440
1119142a9761
12a049b2360
13539a6367b
142ccd90200
151a3b46160
hex10125f678

4314232440 has 288 divisors, whose sum is σ = 16405740000. Its totient is φ = 980356608.

The previous prime is 4314232411. The next prime is 4314232451. The reversal of 4314232440 is 442324134.

It is a happy number.

It is a super-2 number, since 2×43142324402 = 37225203092696707200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3509746 + ... + 3510974.

It is an arithmetic number, because the mean of its divisors is an integer number (56964375).

Almost surely, 24314232440 is an apocalyptic number.

4314232440 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 4314232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202870000).

4314232440 is an abundant number, since it is smaller than the sum of its proper divisors (12091507560).

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

4314232440 is a wasteful number, since it uses less digits than its factorization.

4314232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

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

The square root of 4314232440 is about 65682.8169310665. The cubic root of 4314232440 is about 1627.9254524198.

Adding to 4314232440 its reverse (442324134), we get a palindrome (4756556574).

The spelling of 4314232440 in words is "four billion, three hundred fourteen million, two hundred thirty-two thousand, four hundred forty".