Search a number
-
+
1143860040 = 2332519891879
BaseRepresentation
bin100010000101101…
…1110101101001000
32221201101002222200
41010023132231020
54320312010130
6305300520200
740226435631
oct10413365510
92851332880
101143860040
11537751a84
1227b0b0060
13152c9947b
14abcb8888
156a64b760
hex442deb48

1143860040 has 192 divisors, whose sum is σ = 3959280000. Its totient is φ = 285576192.

The previous prime is 1143859999. The next prime is 1143860063. The reversal of 1143860040 is 400683411.

1143860040 is a `hidden beast` number, since 1 + 14 + 3 + 8 + 600 + 40 = 666.

It is a Cunningham number, because it is equal to 338212-1.

It is a super-2 number, since 2×11438600402 = 2616831582217603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1143859986 and 1143860013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607821 + ... + 609699.

It is an arithmetic number, because the mean of its divisors is an integer number (20621250).

Almost surely, 21143860040 is an apocalyptic number.

1143860040 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 1143860040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979640000).

1143860040 is an abundant number, since it is smaller than the sum of its proper divisors (2815419960).

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

1143860040 is a wasteful number, since it uses less digits than its factorization.

1143860040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1143860040 is about 33820.9999852163. Note that the first 4 decimals coincide. The cubic root of 1143860040 is about 1045.8216533389.

The spelling of 1143860040 in words is "one billion, one hundred forty-three million, eight hundred sixty thousand, forty".