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4314015464 = 2311113463937
BaseRepresentation
bin1000000010010001…
…01010011011101000
3102010122120200200112
410001020222123220
532313341443324
61552024153452
7211622345363
oct40110523350
912118520615
104314015464
111914170740
12a04908888
135399b8995
142ccd350da
151a3b01c0e
hex10122a6e8

4314015464 has 64 divisors (see below), whose sum is σ = 8930960640. Its totient is φ = 1937295360.

The previous prime is 4314015457. The next prime is 4314015469. The reversal of 4314015464 is 4645104134.

It is a super-2 number, since 2×43140154642 = 37221458847262270592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4314015464.

It is not an unprimeable number, because it can be changed into a prime (4314015469) 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, 4603604 + ... + 4604540.

It is an arithmetic number, because the mean of its divisors is an integer number (139546260).

Almost surely, 24314015464 is an apocalyptic number.

4314015464 is a gapful number since it is divisible by the number (44) 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 4314015464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465480320).

4314015464 is an abundant number, since it is smaller than the sum of its proper divisors (4616945176).

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

4314015464 is a wasteful number, since it uses less digits than its factorization.

4314015464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4314015464 is about 65681.1652149990. The cubic root of 4314015464 is about 1627.8981608386.

Adding to 4314015464 its reverse (4645104134), we get a palindrome (8959119598).

The spelling of 4314015464 in words is "four billion, three hundred fourteen million, fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 463 904 926 937 1243 1852 1874 2486 3704 3748 4972 5093 7496 9944 10186 10307 20372 20614 40744 41228 52319 82456 104638 105881 209276 211762 418552 423524 433831 575509 847048 867662 1151018 1164691 1735324 2302036 2329382 3470648 4604072 4658764 4772141 9317528 9544282 19088564 38177128 49022903 98045806 196091612 392183224 539251933 1078503866 2157007732 4314015464