Search a number
-
+
1341890184960 = 283351323315971
BaseRepresentation
bin10011100001101110111…
…000110100011100000000
311202021122122010100001000
4103201232320310130000
5133441142341404320
62504242243412000
7165643201242453
oct23415670643400
94667578110030
101341890184960
11478102032166
12198098384000
1399702954c30
1448d3abc749a
1524d8b82bc90
hex1386ee34700

1341890184960 has 2304 divisors, whose sum is σ = 5696461209600. Its totient is φ = 296342323200.

The previous prime is 1341890184931. The next prime is 1341890184961. The reversal of 1341890184960 is 694810981431.

1341890184960 is a `hidden beast` number, since 1 + 3 + 418 + 90 + 1 + 84 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1341890184897 and 1341890184906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341890184961) 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, 18899861725 + ... + 18899861795.

It is an arithmetic number, because the mean of its divisors is an integer number (2472422400).

Almost surely, 21341890184960 is an apocalyptic number.

1341890184960 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 1341890184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848230604800).

1341890184960 is an abundant number, since it is smaller than the sum of its proper divisors (4354571024640).

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

1341890184960 is a wasteful number, since it uses less digits than its factorization.

1341890184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1341890184960 in words is "one trillion, three hundred forty-one billion, eight hundred ninety million, one hundred eighty-four thousand, nine hundred sixty".