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1304123003040 = 2535111321461497
BaseRepresentation
bin10010111110100011110…
…010011101000010100000
311121200011120111201010110
4102332203302131002200
5132331320442044130
62435034505531320
7163135245424404
oct22764362350240
94550146451113
101304123003040
11463091489420
121908b81a3b40
1395c94354900
1447196d9b104
1523dcad95ab0
hex12fa3c9d0a0

1304123003040 has 288 divisors, whose sum is σ = 4852687807296. Its totient is φ = 291831521280.

The previous prime is 1304123003009. The next prime is 1304123003189. The reversal of 1304123003040 is 403003214031.

It is a junction number, because it is equal to n+sod(n) for n = 1304123002998 and 1304123003016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161572 + ... + 1623068.

It is an arithmetic number, because the mean of its divisors is an integer number (16849610442).

Almost surely, 21304123003040 is an apocalyptic number.

1304123003040 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 1304123003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426343903648).

1304123003040 is an abundant number, since it is smaller than the sum of its proper divisors (3548564804256).

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

1304123003040 is a wasteful number, since it uses less digits than its factorization.

1304123003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461552 (or 1461531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1304123003040 its reverse (403003214031), we get a palindrome (1707126217071).

The spelling of 1304123003040 in words is "one trillion, three hundred four billion, one hundred twenty-three million, three thousand, forty".