Search a number
-
+
401124214010223 = 33114331408990213
BaseRepresentation
bin101101100110100100000001…
…0010010010111000101101111
31221121021002201011021001102000
41123031020002102113011233
5410034004342241311343
63541041530414503343
7150330160650226014
oct13315100222270557
91847232634231360
10401124214010223
111068a0907581990
1238ba4687804b53
13142a8b0aa73612
14710a73093970b
153159264795ed3
hex16cd20249716f

401124214010223 has 32 divisors (see below), whose sum is σ = 663357873319680. Its totient is φ = 237451966002720.

The previous prime is 401124214010197. The next prime is 401124214010237. The reversal of 401124214010223 is 322010412421104.

401124214010223 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 2 + 421 + 4 + 0 + 10 + 223 = 666.

It is not a de Polignac number, because 401124214010223 - 210 = 401124214009199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401124214010243) 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 31 ways as a sum of consecutive naturals, for example, 15704482336 + ... + 15704507877.

It is an arithmetic number, because the mean of its divisors is an integer number (20729933541240).

Almost surely, 2401124214010223 is an apocalyptic number.

401124214010223 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

401124214010223 is a deficient number, since it is larger than the sum of its proper divisors (262233659309457).

401124214010223 is a wasteful number, since it uses less digits than its factorization.

401124214010223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31408990276 (or 31408990270 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 401124214010223 its reverse (322010412421104), we get a palindrome (723134626431327).

The spelling of 401124214010223 in words is "four hundred one trillion, one hundred twenty-four billion, two hundred fourteen million, ten thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 1161 1419 4257 12771 31408990213 94226970639 282680911917 345498892343 848042735751 1036496677029 1350586579159 3109490031087 4051759737477 9328470093261 12155279212431 14856452370749 36465837637293 44569357112247 133708071336741 401124214010223