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1342332242200 = 235223712940933
BaseRepresentation
bin10011100010001001001…
…111001000100100011000
311202022210102221011120101
4103202021033020210120
5133443044023222300
62504354154305144
7165660146541205
oct23421117104430
94668712834511
101342332242200
11478309613324
121981a04281b4
1399773400571
1448d7d7b8cac
1524db554bb6a
hex138893c8918

1342332242200 has 96 divisors (see below), whose sum is σ = 3257151127200. Its totient is φ = 513503400960.

The previous prime is 1342332242149. The next prime is 1342332242203. The reversal of 1342332242200 is 22422332431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342332242203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32772934 + ... + 32813866.

It is an arithmetic number, because the mean of its divisors is an integer number (33928657575).

Almost surely, 21342332242200 is an apocalyptic number.

1342332242200 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 1342332242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628575563600).

1342332242200 is an abundant number, since it is smaller than the sum of its proper divisors (1914818885000).

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

1342332242200 is a wasteful number, since it uses less digits than its factorization.

1342332242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48101 (or 48092 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1342332242200 its reverse (22422332431), we get a palindrome (1364754574631).

The spelling of 1342332242200 in words is "one trillion, three hundred forty-two billion, three hundred thirty-two million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 7129 14258 28516 35645 40933 57032 71290 81866 142580 163732 163967 178225 204665 285160 327464 327934 356450 409330 655868 712900 818660 819835 941459 1023325 1311736 1425800 1637320 1639670 1882918 2046650 3279340 3765836 4093300 4099175 4707295 6558680 7531672 8186600 8198350 9414590 16396700 18829180 23536475 32793400 37658360 47072950 94145900 188291800 291811357 583622714 1167245428 1459056785 2334490856 2918113570 5836227140 6711661211 7295283925 11672454280 13423322422 14590567850 26846644844 29181135700 33558306055 53693289688 58362271400 67116612110 134233224220 167791530275 268466448440 335583060550 671166121100 1342332242200