Search a number
-
+
41664402234 = 232713101251843
BaseRepresentation
bin100110110011011001…
…000101001100111010
310222112122220221010200
4212303121011030322
51140312041332414
631050152423030
73003324401310
oct466331051472
9128478827120
1041664402234
1116740518084
1280a93a7a76
133c0cb46c60
1420336680b0
15113cba8109
hex9b364533a

41664402234 has 96 divisors (see below), whose sum is σ = 112205568384. Its totient is φ = 10879574400.

The previous prime is 41664402137. The next prime is 41664402251. The reversal of 41664402234 is 43220446614.

41664402234 is a `hidden beast` number, since 4 + 1 + 6 + 644 + 0 + 2 + 2 + 3 + 4 = 666.

41664402234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39517 + ... + 291359.

It is an arithmetic number, because the mean of its divisors is an integer number (1168808004).

Almost surely, 241664402234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41664402234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56102784192).

41664402234 is an abundant number, since it is smaller than the sum of its proper divisors (70541166150).

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

41664402234 is a wasteful number, since it uses less digits than its factorization.

41664402234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251972 (or 251969 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41664402234 its reverse (43220446614), we get a palindrome (84884848848).

The spelling of 41664402234 in words is "forty-one billion, six hundred sixty-four million, four hundred two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 101 117 126 182 202 234 273 303 546 606 707 819 909 1313 1414 1638 1818 2121 2626 3939 4242 6363 7878 9191 11817 12726 18382 23634 27573 55146 82719 165438 251843 503686 755529 1511058 1762901 2266587 3273959 3525802 4533174 5288703 6547918 9821877 10577406 15866109 19643754 22917713 25436143 29465631 31732218 45835426 50872286 58931262 68753139 76308429 137506278 152616858 178053001 206259417 228925287 330669859 356106002 412518834 457850574 534159003 661339718 992009577 1068318006 1602477009 1984019154 2314689013 2976028731 3204954018 4629378026 5952057462 6944067039 13888134078 20832201117 41664402234