Search a number
-
+
1425848316408 = 2333194373
BaseRepresentation
bin10100101111111011001…
…011101011000111111000
312001022100211011022122000
4110233323023223013320
5141330114132111113
63011005313501000
7205004564501055
oct24577313530770
95038324138560
101425848316408
114aa776225a5a
121b0409871760
13a45c2b0c259
144d0234d802c
1527152550373
hex14bfb2eb1f8

1425848316408 has 320 divisors, whose sum is σ = 4296855396000. Its totient is φ = 438098486976.

The previous prime is 1425848316407. The next prime is 1425848316413. The reversal of 1425848316408 is 8046138485241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1425848316408 is a `hidden beast` number, since 1 + 4 + 2 + 584 + 8 + 3 + 16 + 40 + 8 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1425848316408 = 14063 + 112483 = 63273 + 105453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425848316407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38536440966 + ... + 38536441002.

Almost surely, 21425848316408 is an apocalyptic number.

1425848316408 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 1425848316408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148427698000).

1425848316408 is an abundant number, since it is smaller than the sum of its proper divisors (2871007079592).

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

1425848316408 is an frugal number, since it uses more digits than its factorization.

1425848316408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1425848316408 in words is "one trillion, four hundred twenty-five billion, eight hundred forty-eight million, three hundred sixteen thousand, four hundred eight".