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1414324240 = 24572421857
BaseRepresentation
bin101010001001100…
…1110000000010000
310122120022010010021
41110103032000100
510344031333430
6352201513224
750022362200
oct12423160020
93576263107
101414324240
1166639280a
123357a2814
13197025664
14d5ba0400
158427407a
hex544ce010

1414324240 has 120 divisors (see below), whose sum is σ = 3838729752. Its totient is φ = 483194880.

The previous prime is 1414324237. The next prime is 1414324277. The reversal of 1414324240 is 424234141.

It can be written as a sum of positive squares in 4 ways, for example, as 66846976 + 1347477264 = 8176^2 + 36708^2 .

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, 1649892 + ... + 1650748.

Almost surely, 21414324240 is an apocalyptic number.

1414324240 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 1414324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919364876).

1414324240 is an abundant number, since it is smaller than the sum of its proper divisors (2424405512).

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

1414324240 is a wasteful number, since it uses less digits than its factorization.

1414324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1414324240 is about 37607.5024429967. The cubic root of 1414324240 is about 1122.4913291758.

Adding to 1414324240 its reverse (424234141), we get a palindrome (1838558381).

Subtracting from 1414324240 its reverse (424234141), we obtain a palindrome (990090099).

It can be divided in two parts, 14143 and 24240, that added together give a palindrome (38383).

The spelling of 1414324240 in words is "one billion, four hundred fourteen million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 421 490 560 784 842 857 980 1684 1714 1960 2105 2947 3368 3428 3920 4210 4285 5894 5999 6736 6856 8420 8570 11788 11998 13712 14735 16840 17140 20629 23576 23996 29470 29995 33680 34280 41258 41993 47152 47992 58940 59990 68560 82516 83986 95984 103145 117880 119980 165032 167972 206290 209965 235760 239960 330064 335944 360797 412580 419930 479920 671888 721594 825160 839860 1443188 1650320 1679720 1803985 2525579 2886376 3359440 3607970 5051158 5772752 7215940 10102316 12627895 14431880 17679053 20204632 25255790 28863760 35358106 40409264 50511580 70716212 88395265 101023160 141432424 176790530 202046320 282864848 353581060 707162120 1414324240