Search a number
-
+
1323349775040 = 263519531368907
BaseRepresentation
bin10011010000011101110…
…010110001001011000000
311200111210112001220222010
4103100131302301023000
5133140210020300130
62451534414212520
7164415561330306
oct23203562611300
94614715056863
101323349775040
114702584a2837
121945831b4140
1397a39791287
144809c6c6276
1524653cc70b0
hex1341dcb12c0

1323349775040 has 224 divisors, whose sum is σ = 4506226110720. Its totient is φ = 328011780096.

The previous prime is 1323349775017. The next prime is 1323349775147. The reversal of 1323349775040 is 405779433231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 282267 + ... + 1651173.

Almost surely, 21323349775040 is an apocalyptic number.

1323349775040 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 1323349775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253113055360).

1323349775040 is an abundant number, since it is smaller than the sum of its proper divisors (3182876335680).

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

1323349775040 is a wasteful number, since it uses less digits than its factorization.

1323349775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368999 (or 1368989 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 1323349775040 in words is "one trillion, three hundred twenty-three billion, three hundred forty-nine million, seven hundred seventy-five thousand, forty".