Search a number
-
+
1143122040 = 23325101149211
BaseRepresentation
bin100010000100010…
…1010100001111000
32221122222121122100
41010020222201320
54320114401130
6305233023400
740220243214
oct10410524170
92848877570
101143122040
11537298565
1227a9b4b60
13152a9b598
14abb65944
156a552c60
hex4422a878

1143122040 has 192 divisors, whose sum is σ = 3795012000. Its totient is φ = 298368000.

The previous prime is 1143122027. The next prime is 1143122051. The reversal of 1143122040 is 402213411.

1143122040 is a `hidden beast` number, since 11 + 431 + 220 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5417535 + ... + 5417745.

Almost surely, 21143122040 is an apocalyptic number.

1143122040 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 1143122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897506000).

1143122040 is an abundant number, since it is smaller than the sum of its proper divisors (2651889960).

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

1143122040 is a wasteful number, since it uses less digits than its factorization.

1143122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1143122040 is about 33810.0878437191. The cubic root of 1143122040 is about 1045.5966892114.

Adding to 1143122040 its reverse (402213411), we get a palindrome (1545335451).

The spelling of 1143122040 in words is "one billion, one hundred forty-three million, one hundred twenty-two thousand, forty".