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244241333040 = 243525112293299
BaseRepresentation
bin1110001101110111101…
…0101111101100110000
3212100102121011021010210
43203131322233230300
513000201240124130
6304111455224120
723434346035155
oct3433572575460
9770377137123
10244241333040
1194644957561
123b403b18040
131a054cbc953
14bb6daa422c
1565474a25b0
hex38ddeafb30

244241333040 has 160 divisors (see below), whose sum is σ = 761013792000. Its totient is φ = 64799104000.

The previous prime is 244241333023. The next prime is 244241333041. The reversal of 244241333040 is 40333142442.

It is a happy number.

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 = 244241332989 and 244241333007.

It is not an unprimeable number, because it can be changed into a prime (244241333041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74033311 + ... + 74036609.

It is an arithmetic number, because the mean of its divisors is an integer number (4756336200).

Almost surely, 2244241333040 is an apocalyptic number.

244241333040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244241333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380506896000).

244241333040 is an abundant number, since it is smaller than the sum of its proper divisors (516772458960).

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

244241333040 is a wasteful number, since it uses less digits than its factorization.

244241333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 244241333040 its reverse (40333142442), we get a palindrome (284574475482).

The spelling of 244241333040 in words is "two hundred forty-four billion, two hundred forty-one million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1229 1255 1506 2008 2458 2510 3012 3299 3687 3765 4016 4916 5020 6024 6145 6598 7374 7530 9832 9897 10040 12048 12290 13196 14748 15060 16495 18435 19664 19794 20080 24580 26392 29496 30120 32990 36870 39588 49160 49485 52784 58992 60240 65980 73740 79176 98320 98970 131960 147480 158352 197940 263920 294960 308479 395880 616958 791760 828049 925437 1233916 1542395 1656098 1850874 2467832 2484147 3084790 3312196 3701748 4054471 4140245 4627185 4935664 4968294 6169580 6624392 7403496 8108942 8280490 9254370 9936588 12163413 12339160 12420735 13248784 14806992 16217884 16560980 18508740 19873176 20272355 24326826 24678320 24841470 32435768 33121960 37017480 39746352 40544710 48653652 49682940 60817065 64871536 66243920 74034960 81089420 97307304 99365880 121634130 162178840 194614608 198731760 243268260 324357680 486536520 973073040 1017672221 2035344442 3053016663 4070688884 5088361105 6106033326 8141377768 10176722210 12212066652 15265083315 16282755536 20353444420 24424133304 30530166630 40706888840 48848266608 61060333260 81413777680 122120666520 244241333040