Search a number
-
+
1339733118000 = 243532361167953
BaseRepresentation
bin10011011111101110010…
…100010000110000110000
311202002002022012222110010
4103133232110100300300
5133422233134234000
62503244230134520
7165535556415504
oct23375624206060
94662068188403
101339733118000
114771a54668a2
12197795ab1440
139944aaa6154
1448bb4524304
1524cb2290d50
hex137ee510c30

1339733118000 has 640 divisors, whose sum is σ = 4613248733184. Its totient is φ = 333763584000.

The previous prime is 1339733117999. The next prime is 1339733118001. The reversal of 1339733118000 is 8113379331.

It is an interprime number because it is at equal distance from previous prime (1339733117999) and next prime (1339733118001).

It is a self number, because there is not a number n which added to its sum of digits gives 1339733118000.

It is not an unprimeable number, because it can be changed into a prime (1339733118001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1405805524 + ... + 1405806476.

Almost surely, 21339733118000 is an apocalyptic number.

1339733118000 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 1339733118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306624366592).

1339733118000 is an abundant number, since it is smaller than the sum of its proper divisors (3273515615184).

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

1339733118000 is a wasteful number, since it uses less digits than its factorization.

1339733118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 1339733118000 in words is "one trillion, three hundred thirty-nine billion, seven hundred thirty-three million, one hundred eighteen thousand".