Search a number
-
+
41344225524 = 22337233234713
BaseRepresentation
bin100110100000010011…
…101101000011110100
310221201100110021021000
4212200103231003310
51134133110204044
630554314123300
72662356055440
oct464023550364
9127640407230
1041344225524
1116596812628
12801a120530
133b8b703494
142002d21820
15111ea10d69
hex9a04ed0f4

41344225524 has 96 divisors (see below), whose sum is σ = 123027690240. Its totient is φ = 11761887744.

The previous prime is 41344225519. The next prime is 41344225543. The reversal of 41344225524 is 42552244314.

41344225524 is a `hidden beast` number, since 41 + 3 + 44 + 22 + 552 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58792 + ... + 293504.

It is an arithmetic number, because the mean of its divisors is an integer number (1281538440).

Almost surely, 241344225524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41344225524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513845120).

41344225524 is an abundant number, since it is smaller than the sum of its proper divisors (81683464716).

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

41344225524 is a wasteful number, since it uses less digits than its factorization.

41344225524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234966 (or 234958 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 41344225524 its reverse (42552244314), we get a palindrome (83896469838).

The spelling of 41344225524 in words is "forty-one billion, three hundred forty-four million, two hundred twenty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 233 252 378 466 699 756 932 1398 1631 2097 2796 3262 4194 4893 6291 6524 8388 9786 12582 14679 19572 25164 29358 44037 58716 88074 176148 234713 469426 704139 938852 1408278 1642991 2112417 2816556 3285982 4224834 4928973 6337251 6571964 8449668 9857946 12674502 14786919 19715892 25349004 29573838 44360757 54688129 59147676 88721514 109376258 164064387 177443028 218752516 328128774 382816903 492193161 656257548 765633806 984386322 1148450709 1476579483 1531267612 1968772644 2296901418 2953158966 3445352127 4593802836 5906317932 6890704254 10336056381 13781408508 20672112762 41344225524