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4314862272 = 26373210463
BaseRepresentation
bin1000000010010111…
…11001001011000000
3102010201011201021210
410001023321023000
532314101043042
61552054250120
7211632503250
oct40113711300
912121151253
104314862272
111914699986
12a05056940
13539c24256
142cd0b5960
151a3c1ca9c
hex1012f92c0

4314862272 has 56 divisors (see below), whose sum is σ = 13047325696. Its totient is φ = 1232817408.

The previous prime is 4314862249. The next prime is 4314862273. The reversal of 4314862272 is 2722684134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4314862272.

It is not an unprimeable number, because it can be changed into a prime (4314862273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603888 + ... + 1606575.

Almost surely, 24314862272 is an apocalyptic number.

4314862272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4314862272 is an abundant number, since it is smaller than the sum of its proper divisors (8732463424).

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

4314862272 is a wasteful number, since it uses less digits than its factorization.

4314862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210485 (or 3210475 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4314862272 is about 65687.6112520466. The cubic root of 4314862272 is about 1628.0046684925.

It can be divided in two parts, 4314862 and 272, that added together give a palindrome (4315134).

The spelling of 4314862272 in words is "four billion, three hundred fourteen million, eight hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3210463 6420926 9631389 12841852 19262778 22473241 25683704 38525556 44946482 51367408 67419723 77051112 89892964 102734816 134839446 154102224 179785928 205469632 269678892 308204448 359571856 539357784 616408896 719143712 1078715568 1438287424 2157431136 4314862272