Search a number
-
+
2413200231441 = 327324281151273
BaseRepresentation
bin100011000111011101111…
…100010100110000010001
322112200220001222110022200
4203013131330110300101
5304014213224401231
65044335303553413
7336230231343606
oct43073574246021
98480801873280
102413200231441
1185048368946a
1232b83ba5b869
131467438acb3c
1484b29c206ad
1542b8d6cabe6
hex231ddf14c11

2413200231441 has 24 divisors (see below), whose sum is σ = 3533652327816. Its totient is φ = 1586685957120.

The previous prime is 2413200231419. The next prime is 2413200231457. The reversal of 2413200231441 is 1441320023142.

2413200231441 is a `hidden beast` number, since 2 + 4 + 13 + 200 + 2 + 3 + 1 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1794139697025 + 619060534416 = 1339455^2 + 786804^2 .

It is not a de Polignac number, because 2413200231441 - 217 = 2413200100369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2413200231341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15876981 + ... + 16028253.

It is an arithmetic number, because the mean of its divisors is an integer number (147235513659).

Almost surely, 22413200231441 is an apocalyptic number.

It is an amenable number.

2413200231441 is a deficient number, since it is larger than the sum of its proper divisors (1120452096375).

2413200231441 is a wasteful number, since it uses less digits than its factorization.

2413200231441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175633 (or 175630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2413200231441 its reverse (1441320023142), we get a palindrome (3854520254583).

The spelling of 2413200231441 in words is "two trillion, four hundred thirteen billion, two hundred million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 73 219 657 24281 72843 151273 218529 453819 1361457 1772513 5317539 11042929 15952617 33128787 99386361 3673059713 11019179139 33057537417 268133359049 804400077147 2413200231441