Search a number
-
+
1341187520112 = 24331117193171397
BaseRepresentation
bin10011100001000101000…
…000010111011001110000
311202012211122221021002000
4103201011000113121300
5133433223001120422
62504044423054000
7165616606552056
oct23410500273160
94665748837060
101341187520112
11477881432710
12197b20ba1300
13996201c190b
1448cb17581d6
1524d49ccecac
hex13845017670

1341187520112 has 1280 divisors, whose sum is σ = 4912142745600. Its totient is φ = 344881152000.

The previous prime is 1341187520069. The next prime is 1341187520119. The reversal of 1341187520112 is 2110257811431.

It is a happy number.

1341187520112 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 18 + 7 + 520 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341187520119) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3378305898 + ... + 3378306294.

It is an arithmetic number, because the mean of its divisors is an integer number (3837611520).

Almost surely, 21341187520112 is an apocalyptic number.

1341187520112 is a gapful number since it is divisible by the number (12) 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 1341187520112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456071372800).

1341187520112 is an abundant number, since it is smaller than the sum of its proper divisors (3570955225488).

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

1341187520112 is a wasteful number, since it uses less digits than its factorization.

1341187520112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1341187520112 in words is "one trillion, three hundred forty-one billion, one hundred eighty-seven million, five hundred twenty thousand, one hundred twelve".