Search a number
-
+
1342321364412 = 2232724772150453
BaseRepresentation
bin10011100010001000100…
…101101000110110111100
311202022202200110112001100
4103202020211220312330
5133443033232130122
62504353125213100
7165656655224430
oct23421045506674
94668680415040
101342321364412
11478303463716
12198198861190
13997710922c2
1448d7c1869c0
1524db45edaac
hex13888968dbc

1342321364412 has 72 divisors (see below), whose sum is σ = 3879384608736. Its totient is φ = 383365378944.

The previous prime is 1342321364411. The next prime is 1342321364413. The reversal of 1342321364412 is 2144631232431.

1342321364412 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 2 + 1 + 3 + 644 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1342321364411) and next prime (1342321364413).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342321364411) 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 23 ways as a sum of consecutive naturals, for example, 451023 + ... + 1699430.

It is an arithmetic number, because the mean of its divisors is an integer number (53880341788).

Almost surely, 21342321364412 is an apocalyptic number.

1342321364412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1342321364412 is an abundant number, since it is smaller than the sum of its proper divisors (2537063244324).

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

1342321364412 is a wasteful number, since it uses less digits than its factorization.

1342321364412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152947 (or 2152942 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1342321364412 its reverse (2144631232431), we get a palindrome (3486952596843).

The spelling of 1342321364412 in words is "one trillion, three hundred forty-two billion, three hundred twenty-one million, three hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2477 4954 7431 9908 14862 17339 22293 29724 34678 44586 52017 69356 89172 104034 156051 208068 312102 624204 2150453 4300906 6451359 8601812 12902718 15053171 19354077 25805436 30106342 38708154 45159513 60212684 77416308 90319026 135478539 180638052 270957078 541914156 5326672081 10653344162 15980016243 21306688324 31960032486 37286704567 47940048729 63920064972 74573409134 95880097458 111860113701 149146818268 191760194916 223720227402 335580341103 447440454804 671160682206 1342321364412