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1342114232112 = 243283891111007
BaseRepresentation
bin10011100001111100001…
…111011111011100110000
311202022020020201002221200
4103201330033133130300
5133442122220411422
62504320405451200
7165651561513243
oct23417417373460
94668206632850
101342114232112
1147820754a0a5
1219813b410b00
139973a1ab804
1448d5c86925a
1524da13362ac
hex1387c3df730

1342114232112 has 60 divisors (see below), whose sum is σ = 3756506919360. Its totient is φ = 447317679744.

The previous prime is 1342114232071. The next prime is 1342114232117. The reversal of 1342114232112 is 2112324112431.

1342114232112 is a `hidden beast` number, since 1 + 3 + 4 + 21 + 1 + 423 + 211 + 2 = 666.

It is a super-2 number, since 2×13421142321122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1342114232117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652513 + ... + 1763519.

It is an arithmetic number, because the mean of its divisors is an integer number (62608448656).

Almost surely, 21342114232112 is an apocalyptic number.

1342114232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1342114232112 is an abundant number, since it is smaller than the sum of its proper divisors (2414392687248).

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

1342114232112 is a wasteful number, since it uses less digits than its factorization.

1342114232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119410 (or 1119401 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 1342114232112 its reverse (2112324112431), we get a palindrome (3454438344543).

The spelling of 1342114232112 in words is "one trillion, three hundred forty-two billion, one hundred fourteen million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8389 16778 25167 33556 50334 67112 75501 100668 134224 151002 201336 302004 402672 604008 1111007 1208016 2222014 3333021 4444028 6666042 8888056 9999063 13332084 17776112 19998126 26664168 39996252 53328336 79992504 159985008 9320237723 18640475446 27960713169 37280950892 55921426338 74561901784 83882139507 111842852676 149123803568 167764279014 223685705352 335528558028 447371410704 671057116056 1342114232112