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1110000444 = 2237193718797
BaseRepresentation
bin100001000101001…
…0100001100111100
32212100122212100120
41002022110030330
54233130003234
6302051054540
736335563620
oct10212241474
92770585316
101110000444
1151a625843
1226b8a1450
13148c727c7
14a75c3180
15676ae049
hex4229433c

1110000444 has 96 divisors (see below), whose sum is σ = 3200171520. Its totient is φ = 292315392.

The previous prime is 1110000427. The next prime is 1110000449. The reversal of 1110000444 is 4440000111.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000449) 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, 49654 + ... + 68450.

It is an arithmetic number, because the mean of its divisors is an integer number (33335120).

Almost surely, 21110000444 is an apocalyptic number.

1110000444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600085760).

1110000444 is an abundant number, since it is smaller than the sum of its proper divisors (2090171076).

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

1110000444 is a wasteful number, since it uses less digits than its factorization.

1110000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18867 (or 18865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1110000444 is about 33316.6691612472. The cubic root of 1110000444 is about 1035.3989435016.

Adding to 1110000444 its reverse (4440000111), we get a palindrome (5550000555).

It can be divided in two parts, 1110000 and 444, that multiplied together give a square (492840000 = 222002).

The spelling of 1110000444 in words is "one billion, one hundred ten million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 19 21 28 37 38 42 57 74 76 84 111 114 133 148 222 228 259 266 399 444 518 532 703 777 798 1036 1406 1554 1596 2109 2812 3108 4218 4921 8436 9842 14763 18797 19684 29526 37594 56391 59052 75188 112782 131579 225564 263158 357143 394737 526316 695489 714286 789474 1071429 1390978 1428572 1578948 2086467 2142858 2500001 2781956 4172934 4285716 4868423 5000002 7500003 8345868 9736846 10000004 13214291 14605269 15000006 19473692 26428582 29210538 30000012 39642873 52857164 58421076 79285746 92500037 158571492 185000074 277500111 370000148 555000222 1110000444