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4140134000 = 24532070067
BaseRepresentation
bin1111011011000101…
…0110111001110000
3101200112101121011022
43312301112321300
531434333242000
61522453235012
7204411362342
oct36661267160
911615347138
104140134000
111834aa7a52
12976632a68
1350c977a42
142b3bd1292
15193706585
hexf6c56e70

4140134000 has 40 divisors (see below), whose sum is σ = 10010848848. Its totient is φ = 1656052800.

The previous prime is 4140133999. The next prime is 4140134003. The reversal of 4140134000 is 4310414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4140134000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140134003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033034 + ... + 1037033.

Almost surely, 24140134000 is an apocalyptic number.

4140134000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140134000 is an abundant number, since it is smaller than the sum of its proper divisors (5870714848).

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

4140134000 is a wasteful number, since it uses less digits than its factorization.

4140134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070090 (or 2070074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4140134000 is about 64343.8730571917. The cubic root of 4140134000 is about 1605.7260975164.

Adding to 4140134000 its reverse (4310414), we get a palindrome (4144444414).

The spelling of 4140134000 in words is "four billion, one hundred forty million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2070067 4140134 8280268 10350335 16560536 20700670 33121072 41401340 51751675 82802680 103503350 165605360 207006700 258758375 414013400 517516750 828026800 1035033500 2070067000 4140134000