Search a number
-
+
1339004451840 = 210351126330133
BaseRepresentation
bin10011011111000010111…
…000100111110000000000
311202000012112002220101120
4103133002320213300000
5133414240114424330
62503044040232240
7165511531022406
oct23370270476000
94660175086346
101339004451840
11476961118160
12197611a6b680
1399362b3ac43
1448b45847476
1524c6d309c10
hex137c2e27c00

1339004451840 has 352 divisors, whose sum is σ = 4689980545536. Its totient is φ = 323362160640.

The previous prime is 1339004451817. The next prime is 1339004451859. The reversal of 1339004451840 is 481544009331.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 1339004451792 and 1339004451801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44421414 + ... + 44451546.

It is an arithmetic number, because the mean of its divisors is an integer number (13323808368).

Almost surely, 21339004451840 is an apocalyptic number.

1339004451840 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 1339004451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344990272768).

1339004451840 is an abundant number, since it is smaller than the sum of its proper divisors (3350976093696).

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

1339004451840 is a wasteful number, since it uses less digits than its factorization.

1339004451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30435 (or 30417 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1339004451840 in words is "one trillion, three hundred thirty-nine billion, four million, four hundred fifty-one thousand, eight hundred forty".