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8144841001 = 1143971671063
BaseRepresentation
bin1111001010111100…
…00110100100101001
3210000121221210101211
413211132012210221
5113140034403001
63424112113121
7405560002063
oct74536064451
923017853354
108144841001
1134aa606660
1216b38357a1
139ca556a5b
14573a0c733
1532a0ab351
hex1e5786929

8144841001 has 32 divisors (see below), whose sum is σ = 9249343488. Its totient is φ = 7108093440.

The previous prime is 8144840999. The next prime is 8144841011. The reversal of 8144841001 is 1001484418.

It is a cyclic number.

It is not a de Polignac number, because 8144841001 - 21 = 8144840999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8144841011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7661596 + ... + 7662658.

It is an arithmetic number, because the mean of its divisors is an integer number (289041984).

Almost surely, 28144841001 is an apocalyptic number.

It is an amenable number.

8144841001 is a deficient number, since it is larger than the sum of its proper divisors (1104502487).

8144841001 is a wasteful number, since it uses less digits than its factorization.

8144841001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 8144841001 is about 90248.7728503828. The cubic root of 8144841001 is about 2011.9979639208.

The spelling of 8144841001 in words is "eight billion, one hundred forty-four million, eight hundred forty-one thousand, one".

Divisors: 1 11 43 97 167 473 1063 1067 1837 4171 7181 11693 16199 45709 45881 78991 103111 177521 178189 502799 696557 1134221 1952731 4433773 7633403 7662127 17219537 48771503 83967433 189414907 740440091 8144841001