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1000444401 = 3211831091117
BaseRepresentation
bin111011101000011…
…001000111110001
32120201111211201100
4323220121013301
54022103210101
6243134555013
733535431345
oct7350310761
92521454640
101000444401
114737a7760
1223b068a69
1312c364548
1496c25625
155cc6ce86
hex3ba191f1

1000444401 has 48 divisors (see below), whose sum is σ = 1611529920. Its totient is φ = 592997760.

The previous prime is 1000444399. The next prime is 1000444427. The reversal of 1000444401 is 1044440001.

It is not a de Polignac number, because 1000444401 - 21 = 1000444399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000444301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895095 + ... + 896211.

It is an arithmetic number, because the mean of its divisors is an integer number (33573540).

Almost surely, 21000444401 is an apocalyptic number.

1000444401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000444401 is a deficient number, since it is larger than the sum of its proper divisors (611085519).

1000444401 is a wasteful number, since it uses less digits than its factorization.

1000444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1000444401 is about 31629.8024179728. The cubic root of 1000444401 is about 1000.1481117285.

Adding to 1000444401 its reverse (1044440001), we get a palindrome (2044884402).

The spelling of 1000444401 in words is "one billion, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 11 33 83 99 109 249 327 747 913 981 1117 1199 2739 3351 3597 8217 9047 10053 10791 12287 27141 36861 81423 92711 99517 110583 121753 278133 298551 365259 834399 895653 1019821 1095777 1339283 3059463 4017849 9178389 10105499 12053547 30316497 90949491 111160489 333481467 1000444401