Base | Representation |
---|---|
bin | 10011010111001000101… |
… | …110010100011100000000 |
3 | 11201012021200222001000000 |
4 | 103113020232110130000 |
5 | 133244342143330000 |
6 | 2455121244000000 |
7 | 165061224323124 |
oct | 23271056243400 |
9 | 4635250861000 |
10 | 1330512480000 |
11 | 4732a3677010 |
12 | 195a41b30000 |
13 | 9860b6c3c32 |
14 | 4857bab7584 |
15 | 24922a30000 |
hex | 135c8b94700 |
1330512480000 has 2520 divisors, whose sum is σ = 5841676952496. Its totient is φ = 298598400000.
The previous prime is 1330512479963. The next prime is 1330512480001. The reversal of 1330512480000 is 842150331.
It is a happy number.
1330512480000 is a `hidden beast` number, since 133 + 0 + 51 + 2 + 480 + 0 + 0 + 0 = 666.
1330512480000 is nontrivially palindromic in base 14.
It is a super-4 number, since 4×13305124800004 (a number of 50 digits) contains 4444 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1330512480001) 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 279 ways as a sum of consecutive naturals, for example, 21811679970 + ... + 21811680030.
Almost surely, 21330512480000 is an apocalyptic number.
1330512480000 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 1330512480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920838476248).
1330512480000 is an abundant number, since it is smaller than the sum of its proper divisors (4511164472496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1330512480000 is an frugal number, since it uses more digits than its factorization.
1330512480000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 143 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The spelling of 1330512480000 in words is "one trillion, three hundred thirty billion, five hundred twelve million, four hundred eighty thousand".
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