Search a number
-
+
100244443040 = 2557212786281
BaseRepresentation
bin101110101011100001…
…0001100111110100000
3100120202012121100001122
41131113002030332200
53120300034134130
6114015054151412
710146102464300
oct1352702147640
9316665540048
10100244443040
1139571413845
12175177b2568
1395b73579b1
144bcd6d1600
15291a9222e5
hex175708cfa0

100244443040 has 72 divisors (see below), whose sum is σ = 275493231972. Its totient is φ = 34369520640.

The previous prime is 100244443037. The next prime is 100244443051. The reversal of 100244443040 is 40344442001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99348518416 + 895924624 = 315196^2 + 29932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6385301 + ... + 6400980.

Almost surely, 2100244443040 is an apocalyptic number.

100244443040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244443040 is an abundant number, since it is smaller than the sum of its proper divisors (175248788932).

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

100244443040 is a wasteful number, since it uses less digits than its factorization.

100244443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12786310 (or 12786295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 100244443040 its reverse (40344442001), we get a palindrome (140588885041).

The spelling of 100244443040 in words is "one hundred billion, two hundred forty-four million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 12786281 25572562 51145124 63931405 89503967 102290248 127862810 179007934 204580496 255725620 358015868 409160992 447519835 511451240 626527769 716031736 895039670 1022902480 1253055538 1432063472 1790079340 2045804960 2506111076 2864126944 3132638845 3580158680 5012222152 6265277690 7160317360 10024444304 12530555380 14320634720 20048888608 25061110760 50122221520 100244443040