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4002001144 = 231741717719
BaseRepresentation
bin1110111010001001…
…1011000011111000
3101022220110201111121
43232202123003320
531144003014034
61501040435024
7201113306551
oct35642330370
911286421447
104002001144
111774030769
12938318a74
134ba17251b
1429d715328
1518651d1b4
hexee89b0f8

4002001144 has 32 divisors (see below), whose sum is σ = 8138944800. Its totient is φ = 1837358080.

The previous prime is 4002001139. The next prime is 4002001177. The reversal of 4002001144 is 4411002004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353284 + ... + 364435.

It is an arithmetic number, because the mean of its divisors is an integer number (254342025).

Almost surely, 24002001144 is an apocalyptic number.

It is an amenable number.

4002001144 is an abundant number, since it is smaller than the sum of its proper divisors (4136943656).

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

4002001144 is a wasteful number, since it uses less digits than its factorization.

4002001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717783 (or 717779 counting only the distinct ones).

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

The square root of 4002001144 is about 63261.3716575921. The cubic root of 4002001144 is about 1587.6657260098.

Adding to 4002001144 its reverse (4411002004), we get a palindrome (8413003148).

The spelling of 4002001144 in words is "four billion, two million, one thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 697 1394 2788 5576 717719 1435438 2870876 5741752 12201223 24402446 29426479 48804892 58852958 97609784 117705916 235411832 500250143 1000500286 2001000572 4002001144