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4444411136 = 281111313967
BaseRepresentation
bin1000010001110100…
…00101010100000000
3102110201221110220212
410020322011110000
533100232124021
62013003053252
7215064604604
oct41072052400
912421843825
104444411136
111980832960
12a40511228
1355aa12599
14302399504
151b02ac85b
hex108e85500

4444411136 has 72 divisors (see below), whose sum is σ = 9764302464. Its totient is φ = 2002165760.

The previous prime is 4444411093. The next prime is 4444411183. The reversal of 4444411136 is 6311144444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311225 + ... + 325191.

It is an arithmetic number, because the mean of its divisors is an integer number (135615312).

Almost surely, 24444411136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882151232).

4444411136 is an abundant number, since it is smaller than the sum of its proper divisors (5319891328).

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

4444411136 is a wasteful number, since it uses less digits than its factorization.

4444411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14107 (or 14093 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 4444411136 is about 66666.4168528653. The cubic root of 4444411136 is about 1644.1372755923.

The spelling of 4444411136 in words is "four billion, four hundred forty-four million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 704 904 1243 1408 1808 2486 2816 3616 4972 7232 9944 13967 14464 19888 27934 28928 39776 55868 79552 111736 153637 159104 223472 307274 318208 446944 614548 893888 1229096 1578271 1787776 2458192 3156542 3575552 4916384 6313084 9832768 12626168 17360981 19665536 25252336 34721962 39331072 50504672 69443924 101009344 138887848 202018688 277775696 404037376 555551392 1111102784 2222205568 4444411136