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4000125200 = 245210199013
BaseRepresentation
bin1110111001101101…
…0001000100010000
3101022202221102012012
43232123101010100
531143013001300
61500532322052
7201061334411
oct35633210420
911282842165
104000125200
111772a6a2a5
12937773328
134b99666b6
1429d387808
1518629c435
hexee6d1110

4000125200 has 60 divisors (see below), whose sum is σ = 9705550308. Its totient is φ = 1584192000.

The previous prime is 4000125191. The next prime is 4000125281. The reversal of 4000125200 is 25210004.

It can be written as a sum of positive squares in 6 ways, for example, as 224760064 + 3775365136 = 14992^2 + 61444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9107 + ... + 89906.

Almost surely, 24000125200 is an apocalyptic number.

4000125200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000125200 is an abundant number, since it is smaller than the sum of its proper divisors (5705425108).

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

4000125200 is a wasteful number, since it uses less digits than its factorization.

4000125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99132 (or 99121 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4000125200 is about 63246.5429885302. The cubic root of 4000125200 is about 1587.4176136797.

Adding to 4000125200 its reverse (25210004), we get a palindrome (4025335204).

The spelling of 4000125200 in words is "four billion, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 99013 198026 396052 495065 792104 990130 1584208 1980260 2475325 3960520 4950650 7921040 9901300 10000313 19802600 20000626 39605200 40001252 50001565 80002504 100003130 160005008 200006260 250007825 400012520 500015650 800025040 1000031300 2000062600 4000125200