Search a number
-
+
1146982405380 = 2235719253142733
BaseRepresentation
bin10000101100001101011…
…110101001010100000100
311001122120011202020201220
4100230031132221110010
5122243004443433010
62234525541320340
7145603202404230
oct20541536512404
94048504666656
101146982405380
11402483736599
121663621060b0
1384210613146
143d72b1315c0
151ec80478970
hex10b0d7a9504

1146982405380 has 288 divisors, whose sum is σ = 3946802920704. Its totient is φ = 243681205248.

The previous prime is 1146982405333. The next prime is 1146982405381. The reversal of 1146982405380 is 835042896411.

It is not an unprimeable number, because it can be changed into a prime (1146982405381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7964494 + ... + 8107226.

It is an arithmetic number, because the mean of its divisors is an integer number (13704176808).

Almost surely, 21146982405380 is an apocalyptic number.

1146982405380 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 1146982405380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973401460352).

1146982405380 is an abundant number, since it is smaller than the sum of its proper divisors (2799820515324).

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

1146982405380 is a wasteful number, since it uses less digits than its factorization.

1146982405380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142843 (or 142822 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1146982405380 in words is "one trillion, one hundred forty-six billion, nine hundred eighty-two million, four hundred five thousand, three hundred eighty".