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4113034000 = 24532056517
BaseRepresentation
bin1111010100100111…
…1110101100010000
3101121122101202221121
43311021332230100
531410414042000
61520044332024
7203632132525
oct36511765420
911548352847
104113034000
111820778359
12969544014
13507179a3a
142b037914c
15191151b1a
hexf527eb10

4113034000 has 40 divisors (see below), whose sum is σ = 9945321048. Its totient is φ = 1645212800.

The previous prime is 4113033983. The next prime is 4113034021. The reversal of 4113034000 is 4303114.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 4112400384 = 796^2 + 64128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1026259 + ... + 1030258.

Almost surely, 24113034000 is an apocalyptic number.

4113034000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113034000 is an abundant number, since it is smaller than the sum of its proper divisors (5832287048).

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

4113034000 is a wasteful number, since it uses less digits than its factorization.

4113034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056540 (or 2056524 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4113034000 is about 64132.9400542342. The cubic root of 4113034000 is about 1602.2149012180.

Adding to 4113034000 its reverse (4303114), we get a palindrome (4117337114).

The spelling of 4113034000 in words is "four billion, one hundred thirteen million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2056517 4113034 8226068 10282585 16452136 20565170 32904272 41130340 51412925 82260680 102825850 164521360 205651700 257064625 411303400 514129250 822606800 1028258500 2056517000 4113034000