Search a number
-
+
1445796838080 = 26345723136721
BaseRepresentation
bin10101000010100000001…
…101001111101011000000
312010012212001211012220000
4111002200031033223000
5142141442442304310
63024105003520000
7206312123232300
oct25024015175300
95105761735800
101445796838080
11508182694601
121b4256529000
13a645193192a
144dd96a1d600
152791d9ed4c0
hex150a034fac0

1445796838080 has 840 divisors, whose sum is σ = 6175775523456. Its totient is φ = 319798886400.

The previous prime is 1445796837983. The next prime is 1445796838097. The reversal of 1445796838080 is 808386975441.

1445796838080 is a `hidden beast` number, since 1 + 44 + 57 + 96 + 8 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1445796837999 and 1445796838017.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39354120 + ... + 39390840.

Almost surely, 21445796838080 is an apocalyptic number.

1445796838080 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 1445796838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087887761728).

1445796838080 is an abundant number, since it is smaller than the sum of its proper divisors (4729978685376).

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

1445796838080 is a wasteful number, since it uses less digits than its factorization.

1445796838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36795 (or 36769 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1445796838080 in words is "one trillion, four hundred forty-five billion, seven hundred ninety-six million, eight hundred thirty-eight thousand, eighty".