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244024224040 = 23517363798669
BaseRepresentation
bin1110001101000011111…
…0100010100100101000
3212022212110121222120201
43203100332202210220
512444230200132130
6304034142001544
723426101452262
oct3432076424450
9768773558521
10244024224040
1194543349333
123b3632762b4
131a01c02509c
14bb4cd0ab32
1565333b8bca
hex38d0fa2928

244024224040 has 64 divisors (see below), whose sum is σ = 581517565200. Its totient is φ = 91841753088.

The previous prime is 244024224013. The next prime is 244024224061. The reversal of 244024224040 is 40422420442.

It can be written as a sum of positive squares in 8 ways, for example, as 13042096804 + 230982127236 = 114202^2 + 480606^2 .

It is a super-3 number, since 3×2440242240403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2423826 + ... + 2522494.

Almost surely, 2244024224040 is an apocalyptic number.

244024224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244024224040 is an abundant number, since it is smaller than the sum of its proper divisors (337493341160).

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

244024224040 is a wasteful number, since it uses less digits than its factorization.

244024224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102334 (or 102330 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 244024224040 its reverse (40422420442), we get a palindrome (284446644482).

The spelling of 244024224040 in words is "two hundred forty-four billion, twenty-four million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3637 7274 14548 18185 29096 36370 61829 72740 98669 123658 145480 197338 247316 309145 394676 493345 494632 618290 789352 986690 1236580 1677373 1973380 2473160 3354746 3946760 6709492 8386865 13418984 16773730 33547460 67094920 358859153 717718306 1435436612 1794295765 2870873224 3588591530 6100605601 7177183060 12201211202 14354366120 24402422404 30503028005 48804844808 61006056010 122012112020 244024224040