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1004240320104 = 233741532750861
BaseRepresentation
bin11101001110100010110…
…00110011011001101000
310120000010020100000010210
432213101120303121220
5112423141010220404
62045201443141120
7132361003610220
oct16472130633150
93500106300123
101004240320104
1135799453117a
121427660747a0
13739129209a8
1436869677080
151b1c8b5c689
hexe9d1633668

1004240320104 has 128 divisors (see below), whose sum is σ = 2994698407680. Its totient is φ = 274645862400.

The previous prime is 1004240320103. The next prime is 1004240320121. The reversal of 1004240320104 is 4010230424001.

1004240320104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1004240320103) 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, 1010367 + ... + 1740494.

It is an arithmetic number, because the mean of its divisors is an integer number (23396081310).

Almost surely, 21004240320104 is an apocalyptic number.

1004240320104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004240320104 is an abundant number, since it is smaller than the sum of its proper divisors (1990458087576).

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

1004240320104 is a wasteful number, since it uses less digits than its factorization.

1004240320104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750971 (or 2750967 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1004240320104 its reverse (4010230424001), we get a palindrome (5014470744105).

The spelling of 1004240320104 in words is "one trillion, four billion, two hundred forty million, three hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 53 56 82 84 106 123 159 164 168 212 246 287 318 328 371 424 492 574 636 742 861 984 1113 1148 1272 1484 1722 2173 2226 2296 2968 3444 4346 4452 6519 6888 8692 8904 13038 15211 17384 26076 30422 45633 52152 60844 91266 121688 182532 365064 2750861 5501722 8252583 11003444 16505166 19256027 22006888 33010332 38512054 57768081 66020664 77024108 112785301 115536162 145795633 154048216 225570602 231072324 291591266 338355903 437386899 451141204 462144648 583182532 676711806 789497107 874773798 902282408 1020569431 1166365064 1353423612 1578994214 1749547596 2041138862 2368491321 2706847224 3061708293 3157988428 3499095192 4082277724 4736982642 5977620953 6123416586 6315976856 8164555448 9473965284 11955241906 12246833172 17932862859 18947930568 23910483812 24493666344 35865725718 41843346671 47820967624 71731451436 83686693342 125530040013 143462902872 167373386684 251060080026 334746773368 502120160052 1004240320104