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4449669444 = 22331131120823
BaseRepresentation
bin1000010010011100…
…01001000101000100
3102111002211121222000
410021032021011010
533103103410234
62013311505300
7215160365133
oct41116110504
912432747860
104449669444
1119837a4570
12a42228230
1355bb33acc
14302d6791a
151b099a899
hex109389144

4449669444 has 96 divisors (see below), whose sum is σ = 12990996480. Its totient is φ = 1304877600.

The previous prime is 4449669439. The next prime is 4449669449.

4449669444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4449669439) and next prime (4449669449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4449669449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23584 + ... + 97239.

It is an arithmetic number, because the mean of its divisors is an integer number (135322880).

Almost surely, 24449669444 is an apocalyptic number.

4449669444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4449669444 is an abundant number, since it is smaller than the sum of its proper divisors (8541327036).

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

4449669444 is a wasteful number, since it uses less digits than its factorization.

4449669444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120878 (or 120870 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 4449669444 is about 66705.8426526493. The cubic root of 4449669444 is about 1644.7854284172.

The spelling of 4449669444 in words is "four billion, four hundred forty-nine million, six hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 120823 241646 362469 483292 724938 1087407 1329053 1449876 2174814 2658106 3262221 3745513 3987159 4349628 5316212 6524442 7491026 7974318 11236539 11961477 13048884 14982052 15948636 22473078 23922954 33709617 35884431 41200643 44946156 47845908 67419234 71768862 82401286 101128851 123601929 134838468 143537724 164802572 202257702 247203858 370805787 404515404 494407716 741611574 1112417361 1483223148 2224834722 4449669444