Search a number
-
+
1334000243142 = 232729971517023
BaseRepresentation
bin10011011010011000100…
…111000101000111000110
311201112021202210202120200
4103122120213011013012
5133324013030240032
62500455314511330
7165243524655600
oct23323047050706
94645252722520
101334000243142
114748233a6096
12196655b95546
1398a461677c8
14487ccdac170
1524a78d2147c
hex136989c51c6

1334000243142 has 72 divisors (see below), whose sum is σ = 3365599663296. Its totient is φ = 380760385824.

The previous prime is 1334000243123. The next prime is 1334000243143. The reversal of 1334000243142 is 2413420004331.

1334000243142 is a `hidden beast` number, since 1 + 3 + 3 + 400 + 0 + 243 + 14 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334000243143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120843 + ... + 1637865.

It is an arithmetic number, because the mean of its divisors is an integer number (46744439768).

Almost surely, 21334000243142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334000243142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682799831648).

1334000243142 is an abundant number, since it is smaller than the sum of its proper divisors (2031599420154).

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

1334000243142 is a wasteful number, since it uses less digits than its factorization.

1334000243142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518042 (or 1518032 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1334000243142 its reverse (2413420004331), we get a palindrome (3747420247473).

The spelling of 1334000243142 in words is "one trillion, three hundred thirty-four billion, two hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 997 1994 2991 5982 6979 8973 13958 17946 20937 41874 48853 62811 97706 125622 146559 293118 439677 879354 1517023 3034046 4551069 9102138 10619161 13653207 21238322 27306414 31857483 63714966 74334127 95572449 148668254 191144898 223002381 446004762 669007143 1338014286 1512471931 3024943862 4537415793 9074831586 10587303517 13612247379 21174607034 27224494758 31761910551 63523821102 74111124619 95285731653 148222249238 190571463306 222333373857 444666747714 667000121571 1334000243142