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1304441111440 = 24567243365879
BaseRepresentation
bin10010111110110110101…
…111111100001110010000
311121200222202002021211001
4102332312233330032100
5132332443411031230
62435130232031344
7163146160334215
oct22766657741620
94550882067731
101304441111440
11463235000a25
12190986832554
1396015222b2c
14471c7325b0c
1523de8c800ca
hex12fb6bfc390

1304441111440 has 40 divisors (see below), whose sum is σ = 3078091650240. Its totient is φ = 513988734336.

The previous prime is 1304441111419. The next prime is 1304441111453. The reversal of 1304441111440 is 441111444031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13044411114402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304441111399 and 1304441111408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121677580 + ... + 121688299.

It is an arithmetic number, because the mean of its divisors is an integer number (76952291256).

Almost surely, 21304441111440 is an apocalyptic number.

1304441111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304441111440 is an abundant number, since it is smaller than the sum of its proper divisors (1773650538800).

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

1304441111440 is a wasteful number, since it uses less digits than its factorization.

1304441111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243365959 (or 243365953 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1304441111440 its reverse (441111444031), we get a palindrome (1745552555471).

The spelling of 1304441111440 in words is "one trillion, three hundred four billion, four hundred forty-one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 243365879 486731758 973463516 1216829395 1946927032 2433658790 3893854064 4867317580 9734635160 16305513893 19469270320 32611027786 65222055572 81527569465 130444111144 163055138930 260888222288 326110277860 652220555720 1304441111440