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1342146412431 = 321123733309667
BaseRepresentation
bin10011100001111110001…
…010001111111110001111
311202022022111021001001100
4103201332022033332033
5133442203440144211
62504323515314143
7165652432162356
oct23417612177617
94668274231040
101342146412431
11478223729700
1219814a14b953
1399743a68016
1448d62c4499d
1524da4091156
hex1387e28ff8f

1342146412431 has 36 divisors (see below), whose sum is σ = 2188511806936. Its totient is φ = 791437664160.

The previous prime is 1342146412393. The next prime is 1342146412447.

It is a happy number.

1342146412431 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 4 + 641 + 2 + 4 + 3 + 1 = 666.

1342146412431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1342146412431 - 26 = 1342146412367 is a prime.

It is a super-2 number, since 2×13421464124312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342146412931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16614541 + ... + 16695126.

Almost surely, 21342146412431 is an apocalyptic number.

1342146412431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1342146412431 is a deficient number, since it is larger than the sum of its proper divisors (846365394505).

1342146412431 is a wasteful number, since it uses less digits than its factorization.

1342146412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33309732 (or 33309718 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 1342146412431 in words is "one trillion, three hundred forty-two billion, one hundred forty-six million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 33309667 99929001 299787003 366406337 1099219011 1232457679 3297657033 3697373037 4030469707 11092119111 12091409121 13557034469 36274227363 40671103407 122013310221 149127379159 447382137477 1342146412431