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1444052240 = 245236471213
BaseRepresentation
bin101011000010010…
…0111110100010000
310201122020110021022
41112010213310100
510424134132430
6355143015012
750533145561
oct12604476420
93648213238
101444052240
11681147904
1234373a468
131a02338a7
14d9adc168
1586b974e5
hex56127d10

1444052240 has 80 divisors (see below), whose sum is σ = 3511703808. Its totient is φ = 551198208.

The previous prime is 1444052221. The next prime is 1444052251. The reversal of 1444052240 is 422504441.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189874 + ... + 1191086.

Almost surely, 21444052240 is an apocalyptic number.

1444052240 is a gapful number since it is divisible by the number (10) 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 1444052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755851904).

1444052240 is an abundant number, since it is smaller than the sum of its proper divisors (2067651568).

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

1444052240 is a wasteful number, since it uses less digits than its factorization.

1444052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 1444052240 is about 38000.6873622044. The cubic root of 1444052240 is about 1130.3014936766.

Adding to 1444052240 its reverse (422504441), we get a palindrome (1866556681).

The spelling of 1444052240 in words is "one billion, four hundred forty-four million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 647 920 1213 1294 1840 2426 2588 3235 4852 5176 6065 6470 9704 10352 12130 12940 14881 19408 24260 25880 27899 29762 48520 51760 55798 59524 74405 97040 111596 119048 139495 148810 223192 238096 278990 297620 446384 557980 595240 784811 1115960 1190480 1569622 2231920 3139244 3924055 6278488 7848110 12556976 15696220 18050653 31392440 36101306 62784880 72202612 90253265 144405224 180506530 288810448 361013060 722026120 1444052240