Search a number
-
+
1034334120000 = 2635444319457
BaseRepresentation
bin11110000110100110001…
…11100010100001000000
310122212210112010102210010
433003103013202201000
5113421304013320000
62111055545504520
7134504522646156
oct17032307424100
93585715112703
101034334120000
11369727711485
121485644a2140
13766ca56848c
14380c233b3d6
151bd8ab13d50
hexf0d31e2840

1034334120000 has 280 divisors, whose sum is σ = 3427645627296. Its totient is φ = 275185664000.

The previous prime is 1034334119999. The next prime is 1034334120007. The reversal of 1034334120000 is 214334301.

It is not an unprimeable number, because it can be changed into a prime (1034334120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53150272 + ... + 53169728.

Almost surely, 21034334120000 is an apocalyptic number.

1034334120000 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 1034334120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713822813648).

1034334120000 is an abundant number, since it is smaller than the sum of its proper divisors (2393311507296).

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

1034334120000 is an equidigital number, since it uses as much as digits as its factorization.

1034334120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19935 (or 19910 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1034334120000 its reverse (214334301), we get a palindrome (1034548454301).

The spelling of 1034334120000 in words is "one trillion, thirty-four billion, three hundred thirty-four million, one hundred twenty thousand".