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4313102640 = 24357111713729
BaseRepresentation
bin1000000010001010…
…01011100100110000
3102010120212022112020
410001011023210300
532313123241030
61551552431440
7211611524160
oct40105134460
912116768466
104313102640
1119136a7940
12a04548580
13539759352
142ccb785a0
151a39c1510
hex10114b930

4313102640 has 320 divisors, whose sum is σ = 17651727360. Its totient is φ = 843448320.

The previous prime is 4313102639. The next prime is 4313102653. The reversal of 4313102640 is 462013134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4313102640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307296 + ... + 321024.

It is an arithmetic number, because the mean of its divisors is an integer number (55161648).

Almost surely, 24313102640 is an apocalyptic number.

4313102640 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 4313102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825863680).

4313102640 is an abundant number, since it is smaller than the sum of its proper divisors (13338624720).

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

4313102640 is a wasteful number, since it uses less digits than its factorization.

4313102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13780 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4313102640 is about 65674.2159450724. The cubic root of 4313102640 is about 1627.7833343817.

Adding to 4313102640 its reverse (462013134), we get a palindrome (4775115774).

It can be divided in two parts, 4313 and 102640, that added together give a triangular number (106953 = T462).

The spelling of 4313102640 in words is "four billion, three hundred thirteen million, one hundred two thousand, six hundred forty".