Search a number
-
+
104024440104040 = 23529123973723353
BaseRepresentation
bin10111101001110000010011…
…110011001110010001101000
3111122022122021002101011011101
4113221300103303032101220
5102113314023131312130
61005124100145011144
730624342412461121
oct2751602363162150
9448278232334141
10104024440104040
1130166576588735
12b800772623ab4
1346076024812b1
141b98b49dd1048
15c05dab2021ca
hex5e9c13cce468

104024440104040 has 64 divisors (see below), whose sum is σ = 242128139749200. Its totient is φ = 40174576576512.

The previous prime is 104024440104037. The next prime is 104024440104071. The reversal of 104024440104040 is 40401044420401.

It can be written as a sum of positive squares in 8 ways, for example, as 65453310063684 + 38571130040356 = 8090322^2 + 6210566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143447004 + ... + 144170356.

Almost surely, 2104024440104040 is an apocalyptic number.

104024440104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104024440104040 is an abundant number, since it is smaller than the sum of its proper divisors (138103699645160).

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

104024440104040 is a wasteful number, since it uses less digits than its factorization.

104024440104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847366 (or 847362 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 104024440104040 its reverse (40401044420401), we get a palindrome (144425484524441).

The spelling of 104024440104040 in words is "one hundred four trillion, twenty-four billion, four hundred forty million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 123973 247946 495892 619865 723353 991784 1239730 1446706 2479460 2893412 3595217 3616765 4958920 5786824 7190434 7233530 14380868 14467060 17976085 20977237 28761736 28934120 35952170 41954474 71904340 83908948 104886185 143808680 167817896 209772370 419544740 839089480 89676241469 179352482938 358704965876 448381207345 717409931752 896762414690 1793524829380 2600611002601 3587049658760 5201222005202 10402444010404 13003055013005 20804888020808 26006110026010 52012220052020 104024440104040