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2314224344340 = 2232529443337997
BaseRepresentation
bin100001101011010010100…
…001010001110100010100
322012020102021101102212100
4201223102201101310110
5300404012413004330
64531050123122100
7326124431235156
oct41532241216424
98166367342770
102314224344340
11812503346567
12314619073330
1313a2cc300a7c
148001abc6ad6
15402e9337060
hex21ad2851d14

2314224344340 has 72 divisors (see below), whose sum is σ = 7261876407240. Its totient is φ = 595846266624.

The previous prime is 2314224344329. The next prime is 2314224344353. The reversal of 2314224344340 is 434434224132.

2314224344340 is a `hidden beast` number, since 2 + 3 + 142 + 2 + 434 + 43 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 993223519236 + 1321000825104 = 996606^2 + 1149348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314224344295 and 2314224344304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221663779 + ... + 221674218.

It is an arithmetic number, because the mean of its divisors is an integer number (100859394545).

Almost surely, 22314224344340 is an apocalyptic number.

2314224344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314224344340 is an abundant number, since it is smaller than the sum of its proper divisors (4947652062900).

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

2314224344340 is a wasteful number, since it uses less digits than its factorization.

2314224344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443338041 (or 443338036 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2314224344340 its reverse (434434224132), we get a palindrome (2748658568472).

The spelling of 2314224344340 in words is "two trillion, three hundred fourteen billion, two hundred twenty-four million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 443337997 886675994 1330013991 1773351988 2216689985 2660027982 3990041973 4433379970 5320055964 6650069955 7980083946 8866759940 12856801913 13300139910 15960167892 19950209865 25713603826 26600279820 38570405739 39900419730 51427207652 64284009565 77140811478 79800839460 115711217217 128568019130 154281622956 192852028695 231422434434 257136038260 385704057390 462844868868 578556086085 771408114780 1157112172170 2314224344340