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11041441043320 = 23517113194973727
BaseRepresentation
bin1010000010101100100100…
…1010111101001101111000
31110002112220000021210121201
42200223021022331031320
52421400332401341240
635252211252543544
72216501126221522
oct240531112751570
943075800253551
1011041441043320
11357771568a146
1212a3aa4321bb4
13621284bc576c
142a25a129aa12
1514232e941d9a
hexa0ac92bd378

11041441043320 has 128 divisors (see below), whose sum is σ = 26551369728000. Its totient is φ = 4117822406656.

The previous prime is 11041441043291. The next prime is 11041441043323. The reversal of 11041441043320 is 2334014414011.

It is a super-2 number, since 2×110414410433202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041441043323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149724297 + ... + 149798023.

It is an arithmetic number, because the mean of its divisors is an integer number (207432576000).

Almost surely, 211041441043320 is an apocalyptic number.

11041441043320 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 11041441043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275684864000).

11041441043320 is an abundant number, since it is smaller than the sum of its proper divisors (15509928684680).

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

11041441043320 is a wasteful number, since it uses less digits than its factorization.

11041441043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75817 (or 75813 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11041441043320 its reverse (2334014414011), we get a palindrome (13375455457331).

The spelling of 11041441043320 in words is "eleven trillion, forty-one billion, four hundred forty-one million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 565 680 904 1130 1921 1949 2260 3842 3898 4520 7684 7796 9605 9745 15368 15592 19210 19490 33133 38420 38980 66266 73727 76840 77960 132532 147454 165665 220237 265064 294908 331330 368635 440474 589816 662660 737270 880948 1101185 1253359 1325320 1474540 1761896 2202370 2506718 2949080 3744029 4404740 5013436 6266795 7488058 8331151 8809480 10026872 12533590 14976116 16662302 18720145 25067180 29952232 33324604 37440290 41655755 50134360 66649208 74880580 83311510 141629567 143693923 149761160 166623020 283259134 287387846 333246040 566518268 574775692 708147835 718469615 1133036536 1149551384 1416295670 1436939230 2442796691 2832591340 2873878460 4885593382 5665182680 5747756920 9771186764 12213983455 16237413299 19542373528 24427966910 32474826598 48855933820 64949653196 81187066495 97711867640 129899306392 162374132990 276036026083 324748265980 552072052166 649496531960 1104144104332 1380180130415 2208288208664 2760360260830 5520720521660 11041441043320