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1001444229 = 34194159269
BaseRepresentation
bin111011101100001…
…101001110000101
32120210101122020000
4323230031032011
54022332203404
6243212231513
733550064322
oct7354151605
92523348200
101001444229
1147431a965
1223b46b599
1312c624666
1497005b49
155cdb9339
hex3bb0d385

1001444229 has 80 divisors (see below), whose sum is σ = 1646568000. Its totient is φ = 604350720.

The previous prime is 1001444209. The next prime is 1001444237. The reversal of 1001444229 is 9224441001.

It is a happy number.

It is not a de Polignac number, because 1001444229 - 220 = 1000395653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001444209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3722707 + ... + 3722975.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 21001444229 is an apocalyptic number.

1001444229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1001444229 is a deficient number, since it is larger than the sum of its proper divisors (645123771).

1001444229 is a wasteful number, since it uses less digits than its factorization.

1001444229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1001444229 is about 31645.6036283083. The cubic root of 1001444229 is about 1000.4811780972.

The spelling of 1001444229 in words is "one billion, one million, four hundred forty-four thousand, two hundred twenty-nine".

Divisors: 1 3 9 19 27 41 57 59 81 123 171 177 269 369 513 531 779 807 1107 1121 1539 1593 2337 2419 2421 3321 3363 4779 5111 7011 7257 7263 10089 11029 15333 15871 21033 21771 21789 30267 33087 45961 45999 47613 63099 65313 90801 99261 137883 137997 142839 195939 209551 297783 301549 413649 413991 428517 628653 650711 893349 904647 1240947 1285551 1885959 1952133 2713941 3722841 5657877 5856399 8141823 12363509 16973631 17569197 24425469 37090527 52707591 111271581 333814743 1001444229