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1143505040 = 24514293813
BaseRepresentation
bin100010000101000…
…1000000010010000
32221200201002000112
41010022020002100
54320214130130
6305245140452
740223426636
oct10412100220
92850632015
101143505040
1153752a297
1227ab5a728
13152ba3a02
14abc25356
156a5cb495
hex44288090

1143505040 has 20 divisors (see below), whose sum is σ = 2658649404. Its totient is φ = 457401984.

The previous prime is 1143505021. The next prime is 1143505049. The reversal of 1143505040 is 405053411.

It can be written as a sum of positive squares in 2 ways, for example, as 435306496 + 708198544 = 20864^2 + 26612^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1143504997 and 1143505015.

It is not an unprimeable number, because it can be changed into a prime (1143505049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7146827 + ... + 7146986.

Almost surely, 21143505040 is an apocalyptic number.

1143505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143505040 is an abundant number, since it is smaller than the sum of its proper divisors (1515144364).

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

1143505040 is a wasteful number, since it uses less digits than its factorization.

1143505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293826 (or 14293820 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1143505040 is about 33815.7513593887. The cubic root of 1143505040 is about 1045.7134509690.

Adding to 1143505040 its reverse (405053411), we get a palindrome (1548558451).

The spelling of 1143505040 in words is "one billion, one hundred forty-three million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14293813 28587626 57175252 71469065 114350504 142938130 228701008 285876260 571752520 1143505040