Search a number
-
+
1145582023488 = 263779101310651
BaseRepresentation
bin10000101010111010000…
…000100111001101000000
311001111221120200110220220
4100222322000213031000
5122232122444222423
62234134554303040
7145523406351210
oct20527200471500
94044846613826
101145582023488
11401925206991
12166031127a80
138404945c8c6
143d637160240
151ebec55a9e3
hex10aba027340

1145582023488 has 224 divisors, whose sum is σ = 3511662735360. Its totient is φ = 322816665600.

The previous prime is 1145582023477. The next prime is 1145582023543. The reversal of 1145582023488 is 8843202855411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11455820234882 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1145582023488.

It is a congruent number.

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, 107550963 + ... + 107561613.

Almost surely, 21145582023488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145582023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755831367680).

1145582023488 is an abundant number, since it is smaller than the sum of its proper divisors (2366080711872).

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

1145582023488 is a wasteful number, since it uses less digits than its factorization.

1145582023488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

Adding to 1145582023488 its reverse (8843202855411), we get a palindrome (9988784878899).

The spelling of 1145582023488 in words is "one trillion, one hundred forty-five billion, five hundred eighty-two million, twenty-three thousand, four hundred eighty-eight".