Search a number
-
+
1130143344000 = 27353114614643
BaseRepresentation
bin10000011100100001110…
…010101110010110000000
311000001002122002022002220
4100130201302232112000
5122004013144002000
62223103010011040
7144436001631636
oct20344162562600
94001078068086
101130143344000
113a6322500540
12163042876a80
1382758a7b7b8
143c9b0987356
151e5e6e921a0
hex10721cae580

1130143344000 has 512 divisors, whose sum is σ = 4096756984320. Its totient is φ = 273320960000.

The previous prime is 1130143343963. The next prime is 1130143344037. The reversal of 1130143344000 is 4433410311.

It is an interprime number because it is at equal distance from previous prime (1130143343963) and next prime (1130143344037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 243405679 + ... + 243410321.

It is an arithmetic number, because the mean of its divisors is an integer number (8001478485).

Almost surely, 21130143344000 is an apocalyptic number.

1130143344000 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 1130143344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048378492160).

1130143344000 is an abundant number, since it is smaller than the sum of its proper divisors (2966613640320).

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

1130143344000 is a wasteful number, since it uses less digits than its factorization.

1130143344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1130143344000 its reverse (4433410311), we get a palindrome (1134576754311).

The spelling of 1130143344000 in words is "one trillion, one hundred thirty billion, one hundred forty-three million, three hundred forty-four thousand".