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201144040 = 23514933749
BaseRepresentation
bin10111111110100…
…11011011101000
3112000111011202021
423333103123220
5402443102130
631543114224
74661460526
oct1377233350
9460434667
10201144040
11a35a4549
1257442974
1332897c56
141c9dd316
15129d337a
hexbfd36e8

201144040 has 32 divisors (see below), whose sum is σ = 455625000. Its totient is φ = 79915264.

The previous prime is 201144037. The next prime is 201144043. The reversal of 201144040 is 40441102.

It is an interprime number because it is at equal distance from previous prime (201144037) and next prime (201144043).

It can be written as a sum of positive squares in 4 ways, for example, as 166874724 + 34269316 = 12918^2 + 5854^2 .

It is not an unprimeable number, because it can be changed into a prime (201144043) 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, 10915 + ... + 22834.

Almost surely, 2201144040 is an apocalyptic number.

201144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201144040 is an abundant number, since it is smaller than the sum of its proper divisors (254480960).

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

201144040 is a wasteful number, since it uses less digits than its factorization.

201144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33909 (or 33905 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 201144040 is about 14182.5258681238. The cubic root of 201144040 is about 585.9164926608.

Adding to 201144040 its reverse (40441102), we get a palindrome (241585142).

The spelling of 201144040 in words is "two hundred one million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 33749 67498 134996 168745 269992 337490 674980 1349960 5028601 10057202 20114404 25143005 40228808 50286010 100572020 201144040