Base | Representation |
---|---|
bin | 1000000010010100… |
… | …01000110100110100 |
3 | 102010200022100001101 |
4 | 10001022020310310 |
5 | 32313441331400 |
6 | 1552040335444 |
7 | 211625545531 |
oct | 40112106464 |
9 | 12120270041 |
10 | 4314402100 |
11 | 1914405178 |
12 | a04a74584 |
13 | 539ac2968 |
14 | 2ccdd5d88 |
15 | 1a3b7b56a |
hex | 101288d34 |
4314402100 has 72 divisors (see below), whose sum is σ = 9789248448. Its totient is φ = 1647360000.
The previous prime is 4314402073. The next prime is 4314402133. The reversal of 4314402100 is 12044134.
It is a super-2 number, since 2×43144021002 = 37228130960968820000, which contains 22 as substring.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 1325475 + ... + 1328725.
It is an arithmetic number, because the mean of its divisors is an integer number (135961784).
Almost surely, 24314402100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4314402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894624224).
4314402100 is an abundant number, since it is smaller than the sum of its proper divisors (5474846348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4314402100 is a wasteful number, since it uses less digits than its factorization.
4314402100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3865 (or 3858 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 4314402100 is about 65684.1084281426. The cubic root of 4314402100 is about 1627.9467918829.
Adding to 4314402100 its reverse (12044134), we get a palindrome (4326446234).
The spelling of 4314402100 in words is "four billion, three hundred fourteen million, four hundred two thousand, one hundred".
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