Search a number
-
+
41234722743214 = 27111346744104421
BaseRepresentation
bin10010110000000101101010…
…00000000110001110101110
312102000000000201121020102101
421120002311000012032232
520401042203010240324
6223410545313445314
711454052604146210
oct1130026500061656
9172000021536371
1041234722743214
1112158603002060
12475b69527083a
131a0155780c270
14a27ab237a5b0
154b7922e6c944
hex2580b50063ae

41234722743214 has 64 divisors (see below), whose sum is σ = 83223985807872. Its totient is φ = 14797914998400.

The previous prime is 41234722743169. The next prime is 41234722743217.

41234722743214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41234722743217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21117277 + ... + 22987144.

It is an arithmetic number, because the mean of its divisors is an integer number (1300374778248).

Almost surely, 241234722743214 is an apocalyptic number.

41234722743214 is an abundant number, since it is smaller than the sum of its proper divisors (41989263064658).

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

41234722743214 is a wasteful number, since it uses less digits than its factorization.

41234722743214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44104921.

The product of its digits is 1806336, while the sum is 46.

It can be divided in two parts, 4123472 and 2743214, that added together give a palindrome (6866686).

The spelling of 41234722743214 in words is "forty-one trillion, two hundred thirty-four billion, seven hundred twenty-two million, seven hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 467 934 1001 2002 3269 5137 6071 6538 10274 12142 35959 42497 66781 71918 84994 133562 467467 934934 44104421 88208842 308730947 485148631 573357473 617461894 970297262 1146714946 3396040417 4013502311 6306932203 6792080834 8027004622 12613864406 20596764607 41193529214 44148525421 88297050842 144177352249 226564410677 267757939891 288354704498 453128821354 535515879782 1585950874739 1874305579237 2945337338801 3171901749478 3748611158474 5890674677602 20617361371607 41234722743214