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4044044004240 = 243556929613679
BaseRepresentation
bin111010110110010011110…
…011100110101110010000
3112022121101101020221100110
4322312103303212232100
51012224200231113430
612333450321521320
7565113115603542
oct72662363465620
915277341227313
104044044004240
11131a084459979
1255391a1a3240
132344759389c6
14dda38a37692
15702dca0a7b0
hex3ad93ce6b90

4044044004240 has 80 divisors (see below), whose sum is σ = 12558569414400. Its totient is φ = 1076516422656.

The previous prime is 4044044004239. The next prime is 4044044004251. The reversal of 4044044004240 is 424004404404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4044044004198 and 4044044004207.

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, 14670280 + ... + 14943399.

It is an arithmetic number, because the mean of its divisors is an integer number (156982117680).

Almost surely, 24044044004240 is an apocalyptic number.

4044044004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044044004240 is an abundant number, since it is smaller than the sum of its proper divisors (8514525410160).

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

4044044004240 is a wasteful number, since it uses less digits than its factorization.

4044044004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29614264 (or 29614258 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4044044004240 its reverse (424004404404), we get a palindrome (4468048408644).

The spelling of 4044044004240 in words is "four trillion, forty-four billion, forty-four million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 569 1138 1707 2276 2845 3414 4552 5690 6828 8535 9104 11380 13656 17070 22760 27312 34140 45520 68280 136560 29613679 59227358 88841037 118454716 148068395 177682074 236909432 296136790 355364148 444205185 473818864 592273580 710728296 888410370 1184547160 1421456592 1776820740 2369094320 3553641480 7107282960 16850183351 33700366702 50550550053 67400733404 84250916755 101101100106 134801466808 168501833510 202202200212 252752750265 269602933616 337003667020 404404400424 505505500530 674007334040 808808800848 1011011001060 1348014668080 2022022002120 4044044004240