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1143035040 = 253571093121
BaseRepresentation
bin100010000100001…
…0101010010100000
32221122211012022010
41010020111102200
54320104110130
6305231112520
740216431450
oct10410252240
92848735263
101143035040
11537239164
1227a972740
13152a6aac4
14abb41d60
156a5370b0
hex442154a0

1143035040 has 192 divisors, whose sum is σ = 4154008320. Its totient is φ = 258785280.

The previous prime is 1143035039. The next prime is 1143035053. The reversal of 1143035040 is 405303411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1143034998 and 1143035016.

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, 364680 + ... + 367800.

It is an arithmetic number, because the mean of its divisors is an integer number (21635460).

Almost surely, 21143035040 is an apocalyptic number.

1143035040 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 1143035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077004160).

1143035040 is an abundant number, since it is smaller than the sum of its proper divisors (3010973280).

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

1143035040 is a wasteful number, since it uses less digits than its factorization.

1143035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1143035040 is about 33808.8012209839. The cubic root of 1143035040 is about 1045.5701626708.

Adding to 1143035040 its reverse (405303411), we get a palindrome (1548338451).

The spelling of 1143035040 in words is "one billion, one hundred forty-three million, thirty-five thousand, forty".