Search a number
-
+
1145433431142 = 23271113172219971
BaseRepresentation
bin10000101010110001001…
…001110001110001100110
311001111120020002012112200
4100222301021301301212
5122231321424244032
62234112125355330
7145516623343320
oct20526111616146
94044506065480
101145433431142
114018593462a0
12165bab408b46
1384024734640
143d621520610
151ebde4a847c
hex10ab1271c66

1145433431142 has 288 divisors, whose sum is σ = 3539726072064. Its totient is φ = 258473548800.

The previous prime is 1145433431141. The next prime is 1145433431171. The reversal of 1145433431142 is 2411343345411.

1145433431142 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 334 + 311 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1145433431097 and 1145433431106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145433431141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5097217 + ... + 5317187.

It is an arithmetic number, because the mean of its divisors is an integer number (12290715528).

Almost surely, 21145433431142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145433431142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769863036032).

1145433431142 is an abundant number, since it is smaller than the sum of its proper divisors (2394292640922).

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

1145433431142 is a wasteful number, since it uses less digits than its factorization.

1145433431142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220044 (or 220024 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 1145433431142 its reverse (2411343345411), we get a palindrome (3556776776553).

The spelling of 1145433431142 in words is "one trillion, one hundred forty-five billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred forty-two".