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42244014313000 = 2353881127737549
BaseRepresentation
bin10011001101011101100110…
…11101111000111000101000
312112120111011222202022110201
421212232303131320320220
521014111220131004000
6225502344322521544
711620013025015043
oct1146566335707050
9175514158668421
1042244014313000
1112507649864945
1248a320ab062b4
131a75793a93996
14a6089a815c5a
154d3ce52a696a
hex266bb3778e28

42244014313000 has 128 divisors (see below), whose sum is σ = 99043330932000. Its totient is φ = 16864759296000.

The previous prime is 42244014312977. The next prime is 42244014313001. The reversal of 42244014313000 is 31341044224.

It can be written as a sum of positive squares in 16 ways, for example, as 6946798519684 + 35297215793316 = 2635678^2 + 5941146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42244014313000.

It is not an unprimeable number, because it can be changed into a prime (42244014313001) 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, 1125018226 + ... + 1125055774.

Almost surely, 242244014313000 is an apocalyptic number.

42244014313000 is a gapful number since it is divisible by the number (40) 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 42244014313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521665466000).

42244014313000 is an abundant number, since it is smaller than the sum of its proper divisors (56799316619000).

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

42244014313000 is a wasteful number, since it uses less digits than its factorization.

42244014313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39728 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42244014313000 its reverse (31341044224), we get a palindrome (42275355357224).

The spelling of 42244014313000 in words is "forty-two trillion, two hundred forty-four billion, fourteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 881 1000 1277 1762 2554 3524 4405 5108 6385 7048 8810 10216 12770 17620 22025 25540 31925 35240 37549 44050 51080 63850 75098 88100 110125 127700 150196 159625 176200 187745 220250 255400 300392 319250 375490 440500 638500 750980 881000 938725 1125037 1277000 1501960 1877450 2250074 3754900 4500148 4693625 5625185 7509800 9000296 9387250 11250370 18774500 22500740 28125925 33080669 37549000 45001480 47950073 56251850 66161338 95900146 112503700 132322676 140629625 165403345 191800292 225007400 239750365 264645352 281259250 330806690 383600584 479500730 562518500 661613380 827016725 959001460 1125037000 1198751825 1323226760 1654033450 1918002920 2397503650 3308066900 4135083625 4795007300 5993759125 6616133800 8270167250 9590014600 11987518250 16540334500 23975036500 33080669000 42244014313 47950073000 84488028626 168976057252 211220071565 337952114504 422440143130 844880286260 1056100357825 1689760572520 2112200715650 4224401431300 5280501789125 8448802862600 10561003578250 21122007156500 42244014313000