Search a number
-
+
1431091639296 = 21034111568519
BaseRepresentation
bin10100110100110011101…
…101010111010000000000
312001210220020101201110000
4110310303231113100000
5141421333424424141
63013233500240000
7205251533140524
oct24646355272000
95053806351400
101431091639296
11501a16a16060
121b1431840000
13a4c4a1b3287
144d39da17d84
152735ca1c5b6
hex14d33b57400

1431091639296 has 220 divisors, whose sum is σ = 4662024158880. Its totient is φ = 433663856640.

The previous prime is 1431091639273. The next prime is 1431091639331. The reversal of 1431091639296 is 6929361901341.

It is a happy number.

1431091639296 is a `hidden beast` number, since 1 + 4 + 310 + 9 + 1 + 6 + 39 + 296 = 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 19 ways as a sum of consecutive naturals, for example, 128125 + ... + 1696643.

It is an arithmetic number, because the mean of its divisors is an integer number (21191018904).

Almost surely, 21431091639296 is an apocalyptic number.

1431091639296 is a gapful number since it is divisible by the number (16) 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 1431091639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331012079440).

1431091639296 is an abundant number, since it is smaller than the sum of its proper divisors (3230932519584).

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

1431091639296 is a wasteful number, since it uses less digits than its factorization.

1431091639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568562 (or 1568535 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 1431091639296 in words is "one trillion, four hundred thirty-one billion, ninety-one million, six hundred thirty-nine thousand, two hundred ninety-six".