Search a number
-
+
1337442099360 = 253519247971693
BaseRepresentation
bin10011011101100101110…
…000101110000010100000
311201212011122021011200220
4103131211300232002200
5133403040134134420
62502225025443040
7165425030162043
oct23354560560240
94655148234626
101337442099360
1147622a21a664
121972567a0480
1399174257013
1448a38152c5a
1524bcb095840
hex13765c2e0a0

1337442099360 has 576 divisors, whose sum is σ = 4590473513472. Its totient is φ = 327088668672.

The previous prime is 1337442099347. The next prime is 1337442099403. The reversal of 1337442099360 is 639902447331.

It is a super-2 number, since 2×13374420993602 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789982674 + ... + 789984366.

It is an arithmetic number, because the mean of its divisors is an integer number (7969572072).

Almost surely, 21337442099360 is an apocalyptic number.

1337442099360 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 1337442099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295236756736).

1337442099360 is an abundant number, since it is smaller than the sum of its proper divisors (3253031414112).

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

1337442099360 is a wasteful number, since it uses less digits than its factorization.

1337442099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 1337442099360 in words is "one trillion, three hundred thirty-seven billion, four hundred forty-two million, ninety-nine thousand, three hundred sixty".