Search a number
-
+
41631221405142 = 23229101888788853
BaseRepresentation
bin10010111011101000001100…
…01010011101010111010110
312110101220110101210012112100
421131310012022131113112
520424041220134431032
6224313041420102530
711524520322155415
oct1135640612352726
9173356411705470
1041631221405142
11122a077a183326
1248044ab994a46
131a2ca65932c15
14a3cd6751347c
154c2dcc29297c
hex25dd0629d5d6

41631221405142 has 96 divisors (see below), whose sum is σ = 94246897567680. Its totient is φ = 13264253049600.

The previous prime is 41631221405099. The next prime is 41631221405149. The reversal of 41631221405142 is 24150412213614.

41631221405142 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 122 + 14 + 0 + 514 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41631221405097 and 41631221405106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41631221405149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468495988 + ... + 468584840.

It is an arithmetic number, because the mean of its divisors is an integer number (981738516330).

Almost surely, 241631221405142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41631221405142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47123448783840).

41631221405142 is an abundant number, since it is smaller than the sum of its proper divisors (52615676162538).

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

41631221405142 is a wasteful number, since it uses less digits than its factorization.

41631221405142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97878 (or 97875 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 41631221405142 its reverse (24150412213614), we get a palindrome (65781633618756).

The spelling of 41631221405142 in words is "forty-one trillion, six hundred thirty-one billion, two hundred twenty-one million, four hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 5858 8787 8887 17574 17774 26361 26661 52722 53322 79983 88853 159966 177706 257723 266559 515446 533118 773169 799677 897587 1546338 1599354 1795174 2319507 2576737 2692761 4639014 5153474 5385522 7730211 8078283 8974153 15460422 16156566 17948306 23190633 26030023 26922459 46381266 52060046 53844918 78090069 80767377 156180138 161534754 234270207 260250437 468540414 520500874 780751311 789636611 1561502622 1579273222 2342253933 2368909833 4684507866 4737819666 7106729499 14213458998 22899461719 45798923438 68698385157 79753297711 137396770314 159506595422 206095155471 239259893133 412190310942 478519786266 717779679399 1435559358798 2312845633619 4625691267238 6938536900857 13877073801714 20815610702571 41631221405142