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4443444404 = 2273771193313
BaseRepresentation
bin1000010001101100…
…11001010010110100
3102110200010100210222
410020312121102310
533100010210104
62012530233512
7215053440260
oct41066312264
912420110728
104443444404
111980232603
12a40125898
1355a764559
143021c70a0
151b016b1be
hex108d994b4

4443444404 has 96 divisors (see below), whose sum is σ = 9333305856. Its totient is φ = 1811496960.

The previous prime is 4443444389. The next prime is 4443444407. The reversal of 4443444404 is 4044443444.

It is a super-3 number, since 3×44434444043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443444407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14196152 + ... + 14196464.

It is an arithmetic number, because the mean of its divisors is an integer number (97221936).

Almost surely, 24443444404 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 4443444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666652928).

4443444404 is an abundant number, since it is smaller than the sum of its proper divisors (4889861452).

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

4443444404 is a wasteful number, since it uses less digits than its factorization.

4443444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

The square root of 4443444404 is about 66659.1659413767. The cubic root of 4443444404 is about 1644.0180580458.

Adding to 4443444404 its reverse (4044443444), we get a palindrome (8487887848).

The spelling of 4443444404 in words is "four billion, four hundred forty-three million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 71 74 142 148 193 259 284 313 386 497 518 626 772 994 1036 1252 1351 1988 2191 2627 2702 4382 5254 5404 7141 8764 10508 11581 13703 14282 18389 22223 23162 27406 28564 36778 44446 46324 49987 54812 60409 73556 81067 88892 95921 99974 120818 155561 162134 191842 199948 241636 311122 324268 383684 422863 507011 622244 822251 845726 1014022 1644502 1691452 2028044 2235133 3289004 3549077 4289039 4470266 5755757 7098154 8578078 8940532 11511514 14196308 15645931 17156156 23023028 30023273 31291862 60046546 62583724 120093092 158694443 317388886 634777772 1110861101 2221722202 4443444404