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2324141424100 = 2252139259364483
BaseRepresentation
bin100001110100100001100…
…111111011110111100100
322020012000102010021210201
4201310201213323313210
5301034320201032400
64535410144400244
7326625251102146
oct41644147736744
98205012107721
102324141424100
11816732275351
12316526316084
1313b21ca778c2
14806bbd22c96
15406c9cb606a
hex21d219fbde4

2324141424100 has 72 divisors (see below), whose sum is σ = 5081708048480. Its totient is φ = 922598138880.

The previous prime is 2324141424053. The next prime is 2324141424103. The reversal of 2324141424100 is 14241414232.

It is not an unprimeable number, because it can be changed into a prime (2324141424103) 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 23 ways as a sum of consecutive naturals, for example, 36010459 + ... + 36074941.

Almost surely, 22324141424100 is an apocalyptic number.

2324141424100 is a gapful number since it is divisible by the number (20) 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 2324141424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540854024240).

2324141424100 is an abundant number, since it is smaller than the sum of its proper divisors (2757566624380).

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

2324141424100 is a wasteful number, since it uses less digits than its factorization.

2324141424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67229 (or 67222 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2324141424100 its reverse (14241414232), we get a palindrome (2338382838332).

The spelling of 2324141424100 in words is "two trillion, three hundred twenty-four billion, one hundred forty-one million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2593 2780 3475 5186 6950 10372 12965 13900 25930 51860 64483 64825 128966 129650 257932 259300 322415 360427 644830 720854 1289660 1441708 1612075 1802135 3224150 3604270 6448300 7208540 8963137 9010675 17926274 18021350 35852548 36042700 44815685 89631370 167204419 179262740 224078425 334408838 448156850 668817676 836022095 896313700 1672044190 3344088380 4180110475 8360220950 16720441900 23241414241 46482828482 92965656964 116207071205 232414142410 464828284820 581035356025 1162070712050 2324141424100