Search a number
-
+
1342454142120 = 2335713585121011
BaseRepresentation
bin10011100010010000100…
…000001001010010101000
311202100002221022022211020
4103202100200021102220
5133443321230021440
62504414231132440
7165663156634440
oct23422040112250
94670087268736
101342454142120
11478371402563
12198215214120
13997927411b0
1448d91a6b120
1524dc10ca3d0
hex138908094a8

1342454142120 has 256 divisors, whose sum is σ = 4957836871680. Its totient is φ = 283181184000.

The previous prime is 1342454142119. The next prime is 1342454142157. The reversal of 1342454142120 is 212414542431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63882415 + ... + 63903425.

It is an arithmetic number, because the mean of its divisors is an integer number (19366550280).

Almost surely, 21342454142120 is an apocalyptic number.

1342454142120 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 1342454142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478918435840).

1342454142120 is an abundant number, since it is smaller than the sum of its proper divisors (3615382729560).

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

1342454142120 is a wasteful number, since it uses less digits than its factorization.

1342454142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26896 (or 26892 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 1342454142120 its reverse (212414542431), we get a palindrome (1554868684551).

The spelling of 1342454142120 in words is "one trillion, three hundred forty-two billion, four hundred fifty-four million, one hundred forty-two thousand, one hundred twenty".