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41342322132 = 22334338271069
BaseRepresentation
bin100110100000001100…
…011100010111010100
310221201012212120022000
4212200030130113110
51134132113302012
630554205235300
72662333640256
oct464014342724
9127635776260
1041342322132
1116595732581
128019562b30
133b8b1b8007
142002987cd6
15111e786ddc
hex9a031c5d4

41342322132 has 96 divisors (see below), whose sum is σ = 107661859200. Its totient is φ = 13719476736.

The previous prime is 41342322113. The next prime is 41342322137. The reversal of 41342322132 is 23122324314.

41342322132 is a `hidden beast` number, since 4 + 13 + 423 + 221 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41342322096 and 41342322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41342322137) 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, 38673294 + ... + 38674362.

It is an arithmetic number, because the mean of its divisors is an integer number (1121477700).

Almost surely, 241342322132 is an apocalyptic number.

It is an amenable number.

41342322132 is an abundant number, since it is smaller than the sum of its proper divisors (66319537068).

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

41342322132 is a wasteful number, since it uses less digits than its factorization.

41342322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2334 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 41342322132 its reverse (23122324314), we get a palindrome (64464646446).

The spelling of 41342322132 in words is "forty-one billion, three hundred forty-two million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 433 827 866 1069 1299 1654 1732 2138 2481 2598 3207 3308 3897 4276 4962 5196 6414 7443 7794 9621 9924 11691 12828 14886 15588 19242 22329 23382 28863 29772 38484 44658 46764 57726 89316 115452 358091 462877 716182 884063 925754 1074273 1388631 1432364 1768126 1851508 2148546 2652189 2777262 3222819 3536252 4165893 4297092 5304378 5554524 6445638 7956567 8331786 9668457 10608756 12497679 12891276 15913134 16663572 19336914 23869701 24995358 31826268 38673828 47739402 49990716 95478804 382799279 765598558 1148397837 1531197116 2296795674 3445193511 4593591348 6890387022 10335580533 13780774044 20671161066 41342322132