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1443442001300 = 2252137319378809
BaseRepresentation
bin10101000000010011110…
…110010000010110010100
312002222202221210010002222
4111000103312100112110
5142122132123020200
63023035203321512
7206166560400035
oct25002366202624
95088687703088
101443442001300
11507184419902
121b38b9980298
13a6167ac99a0
144dc11d98a8c
1527831de8d85
hex15013d90594

1443442001300 has 144 divisors (see below), whose sum is σ = 3437182141680. Its totient is φ = 522932060160.

The previous prime is 1443442001291. The next prime is 1443442001303. The reversal of 1443442001300 is 31002443441.

It can be written as a sum of positive squares in 24 ways, for example, as 1441315500304 + 2126500996 = 1200548^2 + 46114^2 .

It is a super-2 number, since 2×14434420013002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1443442001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1443442001303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18276296 + ... + 18355104.

Almost surely, 21443442001300 is an apocalyptic number.

1443442001300 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 1443442001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718591070840).

1443442001300 is an abundant number, since it is smaller than the sum of its proper divisors (1993740140380).

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

1443442001300 is a wasteful number, since it uses less digits than its factorization.

1443442001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79102 (or 79095 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1443442001300 its reverse (31002443441), we get a palindrome (1474444444741).

The spelling of 1443442001300 in words is "one trillion, four hundred forty-three billion, four hundred forty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 193 260 292 325 365 386 650 730 772 949 965 1300 1460 1825 1898 1930 2509 3650 3796 3860 4745 4825 5018 7300 9490 9650 10036 12545 14089 18980 19300 23725 25090 28178 47450 50180 56356 62725 70445 78809 94900 125450 140890 157618 183157 250900 281780 315236 352225 366314 394045 704450 732628 788090 915785 1024517 1408900 1576180 1831570 1970225 2049034 3663140 3940450 4098068 4578925 5122585 5753057 7880900 9157850 10245170 11506114 15210137 18315700 20490340 23012228 25612925 28765285 30420274 51225850 57530570 60840548 74789741 76050685 102451700 115061140 143826425 149579482 152101370 197731781 287652850 299158964 304202740 373948705 380253425 395463562 575305700 747897410 760506850 790927124 988658905 1110340001 1495794820 1521013700 1869743525 1977317810 2220680002 3739487050 3954635620 4441360004 4943294525 5551700005 7478974100 9886589050 11103400010 14434420013 19773178100 22206800020 27758500025 28868840026 55517000050 57737680052 72172100065 111034000100 144344200130 288688400260 360860500325 721721000650 1443442001300