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243441051040 = 25511569243091
BaseRepresentation
bin1110001010111000110…
…1111010010110100000
3212021100211021201121201
43202232031322112200
512442031402113130
6303500230330544
723405460535405
oct3425615722640
9767324251551
10243441051040
1194274143880
123b21bab9a54
1319c5826b5c5
14bad56a42ac
1564ec0c1bca
hex38ae37a5a0

243441051040 has 96 divisors (see below), whose sum is σ = 628519227840. Its totient is φ = 88368076800.

The previous prime is 243441051037. The next prime is 243441051109. The reversal of 243441051040 is 40150144342.

243441051040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879895 + ... + 1122985.

It is an arithmetic number, because the mean of its divisors is an integer number (6547075290).

Almost surely, 2243441051040 is an apocalyptic number.

243441051040 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 243441051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314259613920).

243441051040 is an abundant number, since it is smaller than the sum of its proper divisors (385078176800).

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

243441051040 is a wasteful number, since it uses less digits than its factorization.

243441051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243686 (or 243678 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 243441051040 its reverse (40150144342), we get a palindrome (283591195382).

The spelling of 243441051040 in words is "two hundred forty-three billion, four hundred forty-one million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 569 880 1138 1760 2276 2845 4552 5690 6259 9104 11380 12518 18208 22760 25036 31295 45520 50072 62590 91040 100144 125180 200288 243091 250360 486182 500720 972364 1001440 1215455 1944728 2430910 2674001 3889456 4861820 5348002 7778912 9723640 10696004 13370005 19447280 21392008 26740010 38894560 42784016 53480020 85568032 106960040 138318779 213920080 276637558 427840160 553275116 691593895 1106550232 1383187790 1521506569 2213100464 2766375580 3043013138 4426200928 5532751160 6086026276 7607532845 11065502320 12172052552 15215065690 22131004640 24344105104 30430131380 48688210208 60860262760 121720525520 243441051040