Search a number
-
+
1411426435968 = 273410112710613
BaseRepresentation
bin10100100010011111100…
…100100100001110000000
311222221010201211212220000
4110202133210210032000
5141111100131422333
63000222250520000
7203654314520313
oct24423744441600
94887121755800
101411426435968
114a46454777aa
121a9663a36000
13a3134c9a7a3
144c455da297a
1526aab385713
hex1489f924380

1411426435968 has 320 divisors, whose sum is σ = 4275774328320. Its totient is φ = 462105907200.

The previous prime is 1411426435901. The next prime is 1411426436039. The reversal of 1411426435968 is 8695346241141.

1411426435968 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 2 + 6 + 43 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132985030 + ... + 132995642.

It is an arithmetic number, because the mean of its divisors is an integer number (13361794776).

Almost surely, 21411426435968 is an apocalyptic number.

1411426435968 is a gapful number since it is divisible by the number (18) 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 1411426435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137887164160).

1411426435968 is an abundant number, since it is smaller than the sum of its proper divisors (2864347892352).

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

1411426435968 is a wasteful number, since it uses less digits than its factorization.

1411426435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867 (or 10846 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1411426435968 in words is "one trillion, four hundred eleven billion, four hundred twenty-six million, four hundred thirty-five thousand, nine hundred sixty-eight".