Search a number
-
+
1304241132540 = 22351710125749261
BaseRepresentation
bin10010111110101010110…
…101000101001111111100
311121200110210210022100010
4102332222311011033330
5132332041212220130
62435054325503220
7163141211465313
oct22765265051774
94550423708303
101304241132540
11463142132905
1219092b871b10
1395cb2975318
14471a894b27a
1523dd642c0b0
hex12faad453fc

1304241132540 has 192 divisors, whose sum is σ = 3920249467008. Its totient is φ = 322830336000.

The previous prime is 1304241132539. The next prime is 1304241132563. The reversal of 1304241132540 is 452311424031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1304241132498 and 1304241132507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26451510 + ... + 26500770.

It is an arithmetic number, because the mean of its divisors is an integer number (20417965974).

Almost surely, 21304241132540 is an apocalyptic number.

1304241132540 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 1304241132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960124733504).

1304241132540 is an abundant number, since it is smaller than the sum of its proper divisors (2616008334468).

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

1304241132540 is a wasteful number, since it uses less digits than its factorization.

1304241132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49648 (or 49646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1304241132540 its reverse (452311424031), we get a palindrome (1756552556571).

The spelling of 1304241132540 in words is "one trillion, three hundred four billion, two hundred forty-one million, one hundred thirty-two thousand, five hundred forty".