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11113243440 = 2435139736721
BaseRepresentation
bin10100101100110011…
…01010001100110000
31001200111112021000220
422112121222030300
5140224442242230
65034431213040
7542253003435
oct122631521460
931614467026
1011113243440
114793155312
1221a1977180
1310815270c0
14775d4bb8c
154509acd10
hex29666a330

11113243440 has 160 divisors (see below), whose sum is σ = 37484642496. Its totient is φ = 2707292160.

The previous prime is 11113243433. The next prime is 11113243457. The reversal of 11113243440 is 4434231111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11113243440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284280 + ... + 321000.

Almost surely, 211113243440 is an apocalyptic number.

11113243440 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 11113243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742321248).

11113243440 is an abundant number, since it is smaller than the sum of its proper divisors (26371399056).

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

11113243440 is a wasteful number, since it uses less digits than its factorization.

11113243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36847 (or 36841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11113243440 its reverse (4434231111), we get a palindrome (15547474551).

The spelling of 11113243440 in words is "eleven billion, one hundred thirteen million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 97 104 120 130 156 194 195 208 240 260 291 312 388 390 485 520 582 624 776 780 970 1040 1164 1261 1455 1552 1560 1940 2328 2522 2910 3120 3783 3880 4656 5044 5820 6305 7566 7760 10088 11640 12610 15132 18915 20176 23280 25220 30264 36721 37830 50440 60528 73442 75660 100880 110163 146884 151320 183605 220326 293768 302640 367210 440652 477373 550815 587536 734420 881304 954746 1101630 1432119 1468840 1762608 1909492 2203260 2386865 2864238 2937680 3561937 3818984 4406520 4773730 5728476 7123874 7160595 7637968 8813040 9547460 10685811 11456952 14247748 14321190 17809685 19094920 21371622 22913904 28495496 28642380 35619370 38189840 42743244 46305181 53429055 56990992 57284760 71238740 85486488 92610362 106858110 114569520 138915543 142477480 170972976 185220724 213716220 231525905 277831086 284954960 370441448 427432440 463051810 555662172 694577715 740882896 854864880 926103620 1111324344 1389155430 1852207240 2222648688 2778310860 3704414480 5556621720 11113243440