Search a number
-
+
115510444240 = 2456189265957
BaseRepresentation
bin110101110010011110…
…1011000000011010000
3102001011010021112210111
41223210331120003100
53343031133203430
6125021553411104
711226312401362
oct1534475300320
9361133245714
10115510444240
1144a956a8464
121a478269a94
13ab7b0296b9
14583ad98d32
153010c7bc2a
hex1ae4f580d0

115510444240 has 80 divisors (see below), whose sum is σ = 276032489040. Its totient is φ = 44935925760.

The previous prime is 115510444237. The next prime is 115510444241. The reversal of 115510444240 is 42444015511.

It can be written as a sum of positive squares in 8 ways, for example, as 28038832704 + 87471611536 = 167448^2 + 295756^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115510444241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301342 + ... + 567298.

It is an arithmetic number, because the mean of its divisors is an integer number (3450406113).

Almost surely, 2115510444240 is an apocalyptic number.

115510444240 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 115510444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138016244520).

115510444240 is an abundant number, since it is smaller than the sum of its proper divisors (160522044800).

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

115510444240 is a wasteful number, since it uses less digits than its factorization.

115510444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266120 (or 266114 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 115510444240 its reverse (42444015511), we get a palindrome (157954459751).

The spelling of 115510444240 in words is "one hundred fifteen billion, five hundred ten million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 89 122 178 244 305 356 445 488 610 712 890 976 1220 1424 1780 2440 3560 4880 5429 7120 10858 21716 27145 43432 54290 86864 108580 217160 265957 434320 531914 1063828 1329785 2127656 2659570 4255312 5319140 10638280 16223377 21276560 23670173 32446754 47340346 64893508 81116885 94680692 118350865 129787016 162233770 189361384 236701730 259574032 324467540 378722768 473403460 648935080 946806920 1297870160 1443880553 1893613840 2887761106 5775522212 7219402765 11551044424 14438805530 23102088848 28877611060 57755222120 115510444240