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4000148000 = 25531000037
BaseRepresentation
bin1110111001101101…
…0110101000100000
3101022202222120110122
43232123112220200
531143014214000
61500533015412
7201061461032
oct35633265040
911282876418
104000148000
111772a85442
12937784568
134b9973ba4
1429d391c52
151862a4085
hexee6d6a20

4000148000 has 48 divisors (see below), whose sum is σ = 9828373464. Its totient is φ = 1600057600.

The previous prime is 4000147997. The next prime is 4000148081. The reversal of 4000148000 is 8410004.

It is a happy number.

4000148000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2181637264 + 1818510736 = 46708^2 + 42644^2 .

4000148000 is a modest number, since divided by 148000 gives 4000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4000148000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496019 + ... + 504018.

Almost surely, 24000148000 is an apocalyptic number.

4000148000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000148000 is an abundant number, since it is smaller than the sum of its proper divisors (5828225464).

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

4000148000 is a wasteful number, since it uses less digits than its factorization.

4000148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000062 (or 1000044 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4000148000 is about 63246.7232352792. The cubic root of 4000148000 is about 1587.4206296731.

Adding to 4000148000 its reverse (8410004), we get a palindrome (4008558004).

The spelling of 4000148000 in words is "four billion, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1000037 2000074 4000148 5000185 8000296 10000370 16000592 20000740 25000925 32001184 40001480 50001850 80002960 100003700 125004625 160005920 200007400 250009250 400014800 500018500 800029600 1000037000 2000074000 4000148000