Search a number
-
+
1115343412000 = 25531727895881
BaseRepresentation
bin10000001110101111101…
…001011101101100100000
310221121220012101212010021
4100032233221131230200
5121233210403141000
62212214240043224
7143403151402066
oct20165751355440
93847805355107
101115343412000
113a0018308584
121601b2303514
138123a81199c
143bda9162036
151e02c9ec11a
hex103afa5db20

1115343412000 has 192 divisors, whose sum is σ = 2903132625120. Its totient is φ = 419672064000.

The previous prime is 1115343411991. The next prime is 1115343412019. The reversal of 1115343412000 is 2143435111.

It can be written as a sum of positive squares in 16 ways, for example, as 36678378256 + 1078665033744 = 191516^2 + 1038588^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189649060 + ... + 189654940.

Almost surely, 21115343412000 is an apocalyptic number.

1115343412000 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 1115343412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451566312560).

1115343412000 is an abundant number, since it is smaller than the sum of its proper divisors (1787789213120).

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

1115343412000 is a wasteful number, since it uses less digits than its factorization.

1115343412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1115343412000 its reverse (2143435111), we get a palindrome (1117486847111).

The spelling of 1115343412000 in words is "one trillion, one hundred fifteen billion, three hundred forty-three million, four hundred twelve thousand".