Search a number
-
+
1430212000000 = 2856727297
BaseRepresentation
bin10100110011111111010…
…001110011100100000000
312001201121221012102011211
4110303333101303210000
5141413033233000000
63013010314415504
7205220662262500
oct24637721634400
95051557172154
101430212000000
11501605430033
121b1227131594
13a4b39b98254
144d318c7ba00
152730a6b37ba
hex14cff473900

1430212000000 has 378 divisors, whose sum is σ = 4151682131226. Its totient is φ = 490291200000.

The previous prime is 1430211999973. The next prime is 1430212000003. The reversal of 1430212000000 is 2120341.

It can be written as a sum of positive squares in 7 ways, for example, as 1411572105216 + 18639894784 = 1188096^2 + 136528^2 .

It is not an unprimeable number, because it can be changed into a prime (1430212000003) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 195996352 + ... + 196003648.

Almost surely, 21430212000000 is an apocalyptic number.

1430212000000 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 1430212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075841065613).

1430212000000 is an abundant number, since it is smaller than the sum of its proper divisors (2721470131226).

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

1430212000000 is an frugal number, since it uses more digits than its factorization.

1430212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1430212000000 its reverse (2120341), we get a palindrome (1430214120341).

The spelling of 1430212000000 in words is "one trillion, four hundred thirty billion, two hundred twelve million", and thus it is an aban number.