Search a number
-
+
1390177797120 = 21033571975611
BaseRepresentation
bin10100001110101101000…
…011011100010000000000
311220220021212210012011000
4110032231003130100000
5140234041004001440
62542345554452000
7202302621210030
oct24165503342000
94826255705130
101390177797120
11496631140952
121a5513894000
13a11299cb9c8
144b3dbd298c0
1526265bc2730
hex143ad0dc400

1390177797120 has 704 divisors, whose sum is σ = 5943466137600. Its totient is φ = 301027000320.

The previous prime is 1390177797103. The next prime is 1390177797247. The reversal of 1390177797120 is 217977710931.

1390177797120 is a `hidden beast` number, since 1 + 390 + 177 + 79 + 7 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18348115 + ... + 18423725.

Almost surely, 21390177797120 is an apocalyptic number.

1390177797120 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 1390177797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971733068800).

1390177797120 is an abundant number, since it is smaller than the sum of its proper divisors (4553288340480).

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

1390177797120 is a wasteful number, since it uses less digits than its factorization.

1390177797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75671 (or 75647 counting only the distinct ones).

The product of its (nonzero) digits is 1166886, while the sum is 54.

The spelling of 1390177797120 in words is "one trillion, three hundred ninety billion, one hundred seventy-seven million, seven hundred ninety-seven thousand, one hundred twenty".