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4144241000 = 23534144241
BaseRepresentation
bin1111011100000100…
…0001100101101000
3101200211010020220102
43313001001211220
531441411203000
61523121244532
7204461316164
oct36701014550
911624106812
104144241000
111837352669
12977a93748
13510785213
142b457dca4
15193c683d5
hexf7041968

4144241000 has 32 divisors (see below), whose sum is σ = 9697526280. Its totient is φ = 1657696000.

The previous prime is 4144240967. The next prime is 4144241053. The reversal of 4144241000 is 1424414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1034394244 + 3109846756 = 32162^2 + 55766^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2071121 + ... + 2073120.

Almost surely, 24144241000 is an apocalyptic number.

4144241000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144241000 is an abundant number, since it is smaller than the sum of its proper divisors (5553285280).

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

4144241000 is a wasteful number, since it uses less digits than its factorization.

4144241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144262 (or 4144248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4144241000 is about 64375.7796069298. The cubic root of 4144241000 is about 1606.2568804683.

Adding to 4144241000 its reverse (1424414), we get a palindrome (4145665414).

The spelling of 4144241000 in words is "four billion, one hundred forty-four million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4144241 8288482 16576964 20721205 33153928 41442410 82884820 103606025 165769640 207212050 414424100 518030125 828848200 1036060250 2072120500 4144241000