Search a number
-
+
1342141233132 = 2237383104939769
BaseRepresentation
bin10011100001111101110…
…110011111011111101100
311202022022010111220101110
4103201331312133133230
5133442201123430012
62504323212312020
7165652340151360
oct23417566373754
94668263456343
101342141233132
11478220811397
12198148472610
139974297374b
1448d622972a0
1524da38bb73c
hex1387dd9f7ec

1342141233132 has 96 divisors (see below), whose sum is σ = 3591899136000. Its totient is φ = 382093489152.

The previous prime is 1342141233113. The next prime is 1342141233143. The reversal of 1342141233132 is 2313321412431.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1342141233132.

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, 33728544 + ... + 33768312.

It is an arithmetic number, because the mean of its divisors is an integer number (37415616000).

Almost surely, 21342141233132 is an apocalyptic number.

1342141233132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1342141233132 is an abundant number, since it is smaller than the sum of its proper divisors (2249757902868).

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

1342141233132 is a wasteful number, since it uses less digits than its factorization.

1342141233132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41215 (or 41213 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 1342141233132 its reverse (2313321412431), we get a palindrome (3655462645563).

The spelling of 1342141233132 in words is "one trillion, three hundred forty-two billion, one hundred forty-one million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 383 766 1049 1149 1532 2098 2298 2681 3147 4196 4596 5362 6294 7343 8043 10724 12588 14686 16086 22029 29372 32172 39769 44058 79538 88116 119307 159076 238614 278383 401767 477228 556766 803534 835149 1113532 1205301 1607068 1670298 2410602 2812369 3340596 4821204 5624738 8437107 11249476 15231527 16874214 30463054 33748428 41717681 45694581 60926108 83435362 91389162 106620689 125153043 166870724 182778324 213241378 250306086 292023767 319862067 426482756 500612172 584047534 639724134 876071301 1168095068 1279448268 1752142602 3504285204 15977871823 31955743646 47933615469 63911487292 95867230938 111845102761 191734461876 223690205522 335535308283 447380411044 671070616566 1342141233132