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1244021040 = 2432510117107
BaseRepresentation
bin100101000100110…
…0100000100110000
310012200211211001100
41022021210010300
510021432133130
6323235404400
742554001333
oct11211440460
93180754040
101244021040
11589243469
122a8753700
1316a968332
14bb30c61a
1574333c60
hex4a264130

1244021040 has 120 divisors (see below), whose sum is σ = 4219448688. Its totient is φ = 328435200.

The previous prime is 1244021039. The next prime is 1244021059. The reversal of 1244021040 is 401204421.

1244021040 is a `hidden beast` number, since 12 + 440 + 210 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64167 + ... + 81273.

Almost surely, 21244021040 is an apocalyptic number.

1244021040 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 1244021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109724344).

1244021040 is an abundant number, since it is smaller than the sum of its proper divisors (2975427648).

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

1244021040 is a wasteful number, since it uses less digits than its factorization.

1244021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17227 (or 17218 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1244021040 is about 35270.6824430716. The cubic root of 1244021040 is about 1075.4970955016.

Adding to 1244021040 its reverse (401204421), we get a palindrome (1645225461).

The spelling of 1244021040 in words is "one billion, two hundred forty-four million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 14544 17107 18180 24240 34214 36360 51321 68428 72720 85535 102642 136856 153963 171070 205284 256605 273712 307926 342140 410568 513210 615852 684280 769815 821136 1026420 1231704 1368560 1539630 1727807 2052840 2463408 3079260 3455614 4105680 5183421 6158520 6911228 8639035 10366842 12317040 13822456 15550263 17278070 20733684 25917105 27644912 31100526 34556140 41467368 51834210 62201052 69112280 77751315 82934736 103668420 124402104 138224560 155502630 207336840 248804208 311005260 414673680 622010520 1244021040