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4000144311 = 33238362171
BaseRepresentation
bin1110111001101101…
…0101101110110111
3101022202222101102000
43232123111232313
531143014104221
61500532550343
7201061444212
oct35633255667
911282871360
104000144311
111772a82699
129377823b3
134b99722c7
1429d390779
151862a2e26
hexee6d5bb7

4000144311 has 16 divisors (see below), whose sum is σ = 5928721920. Its totient is φ = 2665600920.

The previous prime is 4000144283. The next prime is 4000144327. The reversal of 4000144311 is 1134410004.

It is not a de Polignac number, because 4000144311 - 29 = 4000143799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000144361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33256 + ... + 95426.

It is an arithmetic number, because the mean of its divisors is an integer number (370545120).

Almost surely, 24000144311 is an apocalyptic number.

4000144311 is a deficient number, since it is larger than the sum of its proper divisors (1928577609).

4000144311 is a wasteful number, since it uses less digits than its factorization.

4000144311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64563 (or 64557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4000144311 is about 63246.6940717062. The cubic root of 4000144311 is about 1587.4201416914.

Adding to 4000144311 its reverse (1134410004), we get a palindrome (5134554315).

The spelling of 4000144311 in words is "four billion, one hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 9 27 2383 7149 21447 62171 64341 186513 559539 1678617 148153493 444460479 1333381437 4000144311