Base | Representation |
---|---|
bin | 111101000111101001101… |
… | …110011110100010010100 |
3 | 112212112012111021112222112 |
4 | 331013221232132202110 |
5 | 1022303303201320340 |
6 | 12533300140050152 |
7 | 612306333456341 |
oct | 75075156364224 |
9 | 15775174245875 |
10 | 4200104323220 |
11 | 137a288437403 |
12 | 57a012533958 |
13 | 2460b6913110 |
14 | 1074012197c8 |
15 | 743c368a065 |
hex | 3d1e9b9e894 |
4200104323220 has 96 divisors (see below), whose sum is σ = 9771346965408. Its totient is φ = 1506430420992.
The previous prime is 4200104323169. The next prime is 4200104323229. The reversal of 4200104323220 is 223234010024.
It can be written as a sum of positive squares in 16 ways, for example, as 3526936584196 + 673167739024 = 1878014^2 + 820468^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4200104323229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5540942 + ... + 6253178.
It is an arithmetic number, because the mean of its divisors is an integer number (101784864223).
Almost surely, 24200104323220 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 4200104323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885673482704).
4200104323220 is an abundant number, since it is smaller than the sum of its proper divisors (5571242642188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4200104323220 is a wasteful number, since it uses less digits than its factorization.
4200104323220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 712909 (or 712907 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 23.
Adding to 4200104323220 its reverse (223234010024), we get a palindrome (4423338333244).
The spelling of 4200104323220 in words is "four trillion, two hundred billion, one hundred four million, three hundred twenty-three thousand, two hundred twenty".
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