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1342141340796 = 223397643199247
BaseRepresentation
bin10011100001111101110…
…110111001110001111100
311202022022010201101002000
4103201331312321301330
5133442201140401141
62504323214502300
7165652341110304
oct23417566716174
94668263641060
101342141340796
11478220885273
12198148504990
13997429b0759
1448d622c4604
1524da38dd5b6
hex1387ddb9c7c

1342141340796 has 96 divisors (see below), whose sum is σ = 3520983137280. Its totient is φ = 442077460992.

The previous prime is 1342141340777. The next prime is 1342141340831. The reversal of 1342141340796 is 6970431412431.

It is a happy number.

1342141340796 is a `hidden beast` number, since 1 + 3 + 4 + 214 + 1 + 340 + 7 + 96 = 666.

It is a super-2 number, since 2×13421413407962 (a number of 25 digits) contains 22 as substring.

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, 6636445 + ... + 6835691.

It is an arithmetic number, because the mean of its divisors is an integer number (36676907680).

Almost surely, 21342141340796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342141340796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760491568640).

1342141340796 is an abundant number, since it is smaller than the sum of its proper divisors (2178841796484).

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

1342141340796 is a wasteful number, since it uses less digits than its factorization.

1342141340796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200000 (or 199992 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1342141340796 in words is "one trillion, three hundred forty-two billion, one hundred forty-one million, three hundred forty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 643 873 1164 1286 1746 1929 2572 2619 3492 3858 5238 5787 7716 10476 11574 17361 23148 34722 62371 69444 124742 187113 199247 249484 374226 398494 561339 597741 748452 796988 1122678 1195482 1684017 1793223 2245356 2390964 3368034 3586446 5379669 6736068 7172892 10759338 19326959 21518676 38653918 57980877 77307836 115961754 128115821 173942631 231923508 256231642 347885262 384347463 512463284 521827893 695770524 768694926 1043655786 1153042389 1537389852 2087311572 2306084778 3459127167 4612169556 6918254334 12427234637 13836508668 24854469274 37281703911 49708938548 74563407822 111845111733 149126815644 223690223466 335535335199 447380446932 671070670398 1342141340796