Search a number
-
+
1395821298928 = 247223499111997
BaseRepresentation
bin10100010011111101011…
…011101100010011110000
311221102212012000210020111
4110103331123230103300
5140332120223031203
62545121554351104
7202562516165050
oct24237533542360
94842765023214
101395821298928
11498a67809331
121a662988b494
13a1818c778a4
144b7b5659560
152649638b26d
hex144fd6ec4f0

1395821298928 has 80 divisors (see below), whose sum is σ = 3110856448000. Its totient is φ = 594327829248.

The previous prime is 1395821298917. The next prime is 1395821298947. The reversal of 1395821298928 is 8298921285931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12407026 + ... + 12519022.

It is an arithmetic number, because the mean of its divisors is an integer number (38885705600).

Almost surely, 21395821298928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395821298928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555428224000).

1395821298928 is an abundant number, since it is smaller than the sum of its proper divisors (1715035149072).

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

1395821298928 is a wasteful number, since it uses less digits than its factorization.

1395821298928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112734 (or 112728 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 67.

The spelling of 1395821298928 in words is "one trillion, three hundred ninety-five billion, eight hundred twenty-one million, two hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 446 499 892 998 1561 1784 1996 3122 3493 3568 3992 6244 6986 7984 12488 13972 24976 27944 55888 111277 111997 222554 223994 445108 447988 778939 783979 890216 895976 1557878 1567958 1780432 1791952 3115756 3135916 6231512 6271832 12463024 12543664 24975331 49950662 55886503 99901324 111773006 174827317 199802648 223546012 349654634 391205521 399605296 447092024 699309268 782411042 894184048 1398618536 1564822084 2797237072 3129644168 6259288336 12462690169 24925380338 49850760676 87238831183 99701521352 174477662366 199403042704 348955324732 697910649464 1395821298928