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1001009144 = 231134572423
BaseRepresentation
bin111011101010100…
…010111111111000
32120202120112101202
4323222202333320
54022224243034
6243155033332
733543303002
oct7352427770
92522515352
101001009144
11474052a93
1223b29b848
1312c501605
1496d31372
155cd3047e
hex3baa2ff8

1001009144 has 32 divisors (see below), whose sum is σ = 1898428320. Its totient is φ = 494785536.

The previous prime is 1001009143. The next prime is 1001009161. The reversal of 1001009144 is 4419001001.

It is a super-2 number, since 2×10010091442 = 2004038612743225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001009143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411917 + ... + 414339.

It is an arithmetic number, because the mean of its divisors is an integer number (59325885).

Almost surely, 21001009144 is an apocalyptic number.

It is an amenable number.

1001009144 is a deficient number, since it is larger than the sum of its proper divisors (897419176).

1001009144 is a wasteful number, since it uses less digits than its factorization.

1001009144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1001009144 is about 31638.7285458819. The cubic root of 1001009144 is about 1000.3362682443.

The spelling of 1001009144 in words is "one billion, one million, nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 113 226 452 457 904 914 1828 2423 3656 4846 9692 19384 51641 103282 206564 273799 413128 547598 1095196 1107311 2190392 2214622 4429244 8858488 125126143 250252286 500504572 1001009144