Search a number
-
+
40448168427828 = 2237717019674827
BaseRepresentation
bin10010011001001100100101…
…01101100000000100110100
312022012210210101220001020210
421030212102231200010310
520300200322104142303
6222005344305025420
711343166214605650
oct1114462255400464
9168183711801223
1040448168427828
1111984a76661207
124653161925270
13197532737ccb5
149db9b7a37a60
154a223a2b7203
hex24c992b60134

40448168427828 has 96 divisors (see below), whose sum is σ = 109537009440768. Its totient is φ = 11377595376000.

The previous prime is 40448168427817. The next prime is 40448168427829. The reversal of 40448168427828 is 82872486184404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40448168427829) 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, 656650 + ... + 9018177.

It is an arithmetic number, because the mean of its divisors is an integer number (1141010515008).

Almost surely, 240448168427828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40448168427828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54768504720384).

40448168427828 is an abundant number, since it is smaller than the sum of its proper divisors (69088841012940).

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

40448168427828 is a wasteful number, since it uses less digits than its factorization.

40448168427828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675613 (or 9675611 counting only the distinct ones).

The product of its (nonzero) digits is 176160768, while the sum is 66.

The spelling of 40448168427828 in words is "forty trillion, four hundred forty-eight billion, one hundred sixty-eight million, four hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 701 852 994 1402 1491 1988 2103 2804 2982 4206 4907 5964 8412 9814 14721 19628 29442 49771 58884 99542 149313 199084 298626 348397 597252 696794 1045191 1393588 2090382 4180764 9674827 19349654 29024481 38699308 58048962 67723789 116097924 135447578 203171367 270895156 406342734 686912717 812685468 1373825434 2060738151 2747650868 4121476302 4808389019 6782053727 8242952604 9616778038 13564107454 14425167057 19233556076 20346161181 27128214908 28850334114 40692322362 47474376089 57700668228 81384644724 94948752178 142423128267 189897504356 284846256534 481525814617 569692513068 963051629234 1444577443851 1926103258468 2889154887702 3370680702319 5778309775404 6741361404638 10112042106957 13482722809276 20224084213914 40448168427828