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444021144 = 23372419209
BaseRepresentation
bin11010011101110…
…011100110011000
31010221111121111120
4122131303212120
51402132134034
6112020525240
714001055200
oct3235634630
91127447446
10444021144
11208702726
12104850820
1370cb5508
1442d83400
1528eabc49
hex1a773998

444021144 has 96 divisors (see below), whose sum is σ = 1322924400. Its totient is φ = 123755520.

The previous prime is 444021143. The next prime is 444021169. The reversal of 444021144 is 441120444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444021143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43612 + ... + 52820.

Almost surely, 2444021144 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 444021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661462200).

444021144 is an abundant number, since it is smaller than the sum of its proper divisors (878903256).

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

444021144 is a wasteful number, since it uses less digits than its factorization.

444021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 444021144 is about 21071.8092246489. The cubic root of 444021144 is about 762.9004723867.

Adding to 444021144 its reverse (441120444), we get a palindrome (885141588).

The spelling of 444021144 in words is "four hundred forty-four million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 49 56 82 84 98 123 147 164 168 196 246 287 294 328 392 492 574 588 861 984 1148 1176 1722 2009 2296 3444 4018 6027 6888 8036 9209 12054 16072 18418 24108 27627 36836 48216 55254 64463 73672 110508 128926 193389 221016 257852 377569 386778 451241 515704 755138 773556 902482 1132707 1353723 1510276 1547112 1804964 2265414 2642983 2707446 3020552 3609928 4530828 5285966 5414892 7928949 9061656 10571932 10829784 15857898 18500881 21143864 31715796 37001762 55502643 63431592 74003524 111005286 148007048 222010572 444021144