Search a number
-
+
11041532410240 = 27595326216907
BaseRepresentation
bin1010000010101100111010…
…0111011111100110000000
31110002120010101012201110201
42200223032213133212000
52421401024244111430
635252224315134544
72216503315636423
oct240531647374600
943076111181421
1011041532410240
1135777622144a2
1212a3b0aa44454
1362129ab05927
142a25ad4819ba
1514233798d8ca
hexa0ace9df980

11041532410240 has 128 divisors (see below), whose sum is σ = 26437770105120. Its totient is φ = 4409656688640.

The previous prime is 11041532410159. The next prime is 11041532410243. The reversal of 11041532410240 is 4201423514011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11041532410199 and 11041532410208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041532410243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598596867 + ... + 1598603773.

Almost surely, 211041532410240 is an apocalyptic number.

11041532410240 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 11041532410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218885052560).

11041532410240 is an abundant number, since it is smaller than the sum of its proper divisors (15396237694880).

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

11041532410240 is an equidigital number, since it uses as much as digits as its factorization.

11041532410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500 (or 10488 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11041532410240 its reverse (4201423514011), we get a palindrome (15242955924251).

The spelling of 11041532410240 in words is "eleven trillion, forty-one billion, five hundred thirty-two million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 953 1906 2621 3812 4765 5242 6907 7624 9530 10484 13105 13814 15248 19060 20968 26210 27628 30496 34535 38120 41936 52420 55256 60992 69070 76240 83872 104840 110512 121984 138140 152480 167744 209680 221024 276280 304960 335488 419360 442048 552560 609920 838720 884096 1105120 1677440 2210240 2497813 4420480 4995626 6582371 9991252 12489065 13164742 18103247 19982504 24978130 26329484 32911855 36206494 39965008 49956260 52658968 65823710 72412988 79930016 90516235 99912520 105317936 131647420 144825976 159860032 181032470 199825040 210635872 263294840 289651952 319720064 362064940 399650080 421271744 526589680 579303904 724129880 799300160 842543488 1053179360 1158607808 1448259760 1598600320 2106358720 2317215616 2896519520 4212717440 5793039040 11586078080 17252394391 34504788782 69009577564 86261971955 138019155128 172523943910 276038310256 345047887820 552076620512 690095775640 1104153241024 1380191551280 2208306482048 2760383102560 5520766205120 11041532410240