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1244424244340 = 2251910388336007
BaseRepresentation
bin10010000110111101011…
…101110000110001110100
311101222002001202112202102
4102012331131300301310
5130342040101304330
62351403002201232
7155622664356254
oct22067535606164
94358061675672
101244424244340
1143a837053412
121812171b3218
139046c13b514
1444332521964
1522584ce9945
hex121bd770c74

1244424244340 has 96 divisors (see below), whose sum is σ = 2780762449920. Its totient is φ = 466451104896.

The previous prime is 1244424244303. The next prime is 1244424244381. The reversal of 1244424244340 is 434424244421.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1244424244294 and 1244424244303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34542617 + ... + 34578623.

It is an arithmetic number, because the mean of its divisors is an integer number (28966275520).

Almost surely, 21244424244340 is an apocalyptic number.

1244424244340 is a gapful number since it is divisible by the number (10) 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 1244424244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390381224960).

1244424244340 is an abundant number, since it is smaller than the sum of its proper divisors (1536338205580).

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

1244424244340 is a wasteful number, since it uses less digits than its factorization.

1244424244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37021 (or 37019 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 1244424244340 its reverse (434424244421), we get a palindrome (1678848488761).

The spelling of 1244424244340 in words is "one trillion, two hundred forty-four billion, four hundred twenty-four million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 883 1030 1766 1957 2060 3532 3914 4415 7828 8830 9785 16777 17660 19570 33554 36007 39140 67108 72014 83885 90949 144028 167770 180035 181898 335540 360070 363796 454745 684133 720140 909490 1368266 1728031 1818980 2736532 3420665 3456062 3708721 6841330 6912124 7417442 8640155 13682660 14834884 17280310 18543605 31794181 34560620 37087210 63588362 70465699 74174420 127176724 140931398 158970905 281862796 317941810 352328495 604089439 635883620 704656990 1208178878 1409313980 2416357756 3020447195 3274800643 6040894390 6549601286 12081788780 13099202572 16374003215 32748006430 62221212217 65496012860 124442424434 248884848868 311106061085 622212122170 1244424244340