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1342421201300 = 2252137677144737
BaseRepresentation
bin10011100010001110100…
…010011111000110010100
311202100000122022202111212
4103202032202133012110
5133443234311420200
62504411053120552
7165662306640164
oct23421642370624
94670018282455
101342421201300
11478354853643
12198206189158
139978897979a
1448d8b5345a4
1524dbd270035
hex1388e89f194

1342421201300 has 72 divisors (see below), whose sum is σ = 2938671772344. Its totient is φ = 532257955840.

The previous prime is 1342421201291. The next prime is 1342421201333. The reversal of 1342421201300 is 31021242431.

It can be written as a sum of positive squares in 12 ways, for example, as 226178238724 + 1116242962576 = 475582^2 + 1056524^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9202532 + ... + 9347268.

It is an arithmetic number, because the mean of its divisors is an integer number (40814885727).

Almost surely, 21342421201300 is an apocalyptic number.

1342421201300 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 1342421201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469335886172).

1342421201300 is an abundant number, since it is smaller than the sum of its proper divisors (1596250571044).

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

1342421201300 is a wasteful number, since it uses less digits than its factorization.

1342421201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145565 (or 145558 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1342421201300 its reverse (31021242431), we get a palindrome (1373442443731).

The spelling of 1342421201300 in words is "one trillion, three hundred forty-two billion, four hundred twenty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 677 685 1354 1370 2708 2740 3385 3425 6770 6850 13540 13700 16925 33850 67700 92749 144737 185498 289474 370996 463745 578948 723685 927490 1447370 1854980 2318725 2894740 3618425 4637450 7236850 9274900 14473700 19828969 39657938 79315876 97986949 99144845 195973898 198289690 391947796 396579380 489934745 495724225 979869490 991448450 1959738980 1982896900 2449673725 4899347450 9798694900 13424212013 26848424026 53696848052 67121060065 134242120130 268484240260 335605300325 671210600650 1342421201300