Search a number
-
+
2414432210140 = 2252833617117937
BaseRepresentation
bin100011001000100111010…
…111111100110011011100
322112211001221011110101101
4203020213113330303130
5304024224121211030
65045101433322444
7336302611111336
oct43104727746334
98484057143341
102414432210140
11850a56047285
1232bb24566424
131468abbbcb12
1484c056b6456
1542c119317ca
hex232275fccdc

2414432210140 has 48 divisors (see below), whose sum is σ = 5089673830752. Its totient is φ = 962086035456.

The previous prime is 2414432210137. The next prime is 2414432210153. The reversal of 2414432210140 is 410122344142.

It is a junction number, because it is equal to n+sod(n) for n = 2414432210099 and 2414432210108.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20413252 + ... + 20531188.

It is an arithmetic number, because the mean of its divisors is an integer number (106034871474).

Almost surely, 22414432210140 is an apocalyptic number.

2414432210140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414432210140 is an abundant number, since it is smaller than the sum of its proper divisors (2675241620612).

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

2414432210140 is a wasteful number, since it uses less digits than its factorization.

2414432210140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121846 (or 121844 counting only the distinct ones).

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

Adding to 2414432210140 its reverse (410122344142), we get a palindrome (2824554554282).

The spelling of 2414432210140 in words is "two trillion, four hundred fourteen billion, four hundred thirty-two million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 283 566 1132 1415 2830 3617 5660 7234 14468 18085 36170 72340 117937 235874 471748 589685 1023611 1179370 2047222 2358740 4094444 5118055 10236110 20472220 33376171 66752342 133504684 166880855 333761710 426578129 667523420 853156258 1706312516 2132890645 4265781290 8531562580 120721610507 241443221014 482886442028 603608052535 1207216105070 2414432210140