Search a number
-
+
401441434323 = 31722819164251
BaseRepresentation
bin1011101011101111100…
…01100010101011010011
31102101012010212211011020
411311313301202223103
523034123001344243
6504230351050523
741001043614306
oct5656761425323
91371163784136
10401441434323
11145283251336
1265975b10a43
132bb18166467
14156037bcb3d
15a698225283
hex5d77c62ad3

401441434323 has 24 divisors (see below), whose sum is σ = 568798105920. Its totient is φ = 251793936000.

The previous prime is 401441434253. The next prime is 401441434379. The reversal of 401441434323 is 323434144104.

It is not a de Polignac number, because 401441434323 - 210 = 401441433299 is a prime.

It is a super-3 number, since 3×4014414343233 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401441439323) 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, 2361948 + ... + 2526198.

It is an arithmetic number, because the mean of its divisors is an integer number (23699921080).

Almost surely, 2401441434323 is an apocalyptic number.

401441434323 is a deficient number, since it is larger than the sum of its proper divisors (167356671597).

401441434323 is a wasteful number, since it uses less digits than its factorization.

401441434323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167107 (or 167090 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 401441434323 its reverse (323434144104), we get a palindrome (724875578427).

The spelling of 401441434323 in words is "four hundred one billion, four hundred forty-one million, four hundred thirty-four thousand, three hundred twenty-three".

Divisors: 1 3 17 51 289 867 2819 8457 47923 143769 164251 492753 814691 2444073 2792267 8376801 47468539 142405617 463023569 1389070707 7871400673 23614202019 133813811441 401441434323