Search a number
-
+
1396305630720 = 29345721113312
BaseRepresentation
bin10100010100011010010…
…011010001011000000000
311221111002221101101120000
4110110122103101120000
5140334113220140340
62545242015320000
7202610520014100
oct24243223213000
94844087341500
101396305630720
11499196143a40
121a6743b20000
13a1895405150
144b81dad3200
15264c3b5bd30
hex1451a4d1600

1396305630720 has 3600 divisors, whose sum is σ = 7062291515664. Its totient is φ = 259183411200.

The previous prime is 1396305630697. The next prime is 1396305630739. The reversal of 1396305630720 is 270365036931.

1396305630720 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 3 + 0 + 5 + 630 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 45042117105 + ... + 45042117135.

Almost surely, 21396305630720 is an apocalyptic number.

1396305630720 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 1396305630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531145757832).

1396305630720 is an abundant number, since it is smaller than the sum of its proper divisors (5665985884944).

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

1396305630720 is a wasteful number, since it uses less digits than its factorization.

1396305630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 1396305630720 in words is "one trillion, three hundred ninety-six billion, three hundred five million, six hundred thirty thousand, seven hundred twenty".