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11124040000 = 2654318971
BaseRepresentation
bin10100101110000101…
…10110000101000000
31001201020211210010111
422113002312011000
5140240223240000
65035454441104
7542443531333
oct122702660500
931636753114
1011124040000
114799259997
1221a5503194
1310838373b8
1477755c61a
154518e1cba
hex2970b6140

11124040000 has 140 divisors (see below), whose sum is σ = 28476984448. Its totient is φ = 4305600000.

The previous prime is 11124039959. The next prime is 11124040001. The reversal of 11124040000 is 4042111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1235515 + ... + 1244485.

Almost surely, 211124040000 is an apocalyptic number.

11124040000 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 11124040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238492224).

11124040000 is an abundant number, since it is smaller than the sum of its proper divisors (17352944448).

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

11124040000 is an frugal number, since it uses more digits than its factorization.

11124040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11124040000 its reverse (4042111), we get a palindrome (11128082111).

The spelling of 11124040000 in words is "eleven billion, one hundred twenty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 625 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 8000 8971 9920 10000 12400 15500 17942 19375 20000 24800 31000 35884 38750 40000 44855 49600 62000 71768 77500 89710 124000 143536 155000 179420 224275 248000 278101 287072 310000 358840 448550 556202 574144 620000 717680 897100 1112404 1121375 1240000 1390505 1435360 1794200 2224808 2242750 2781010 2870720 3588400 4449616 4485500 5562020 5606875 6952525 7176800 8899232 8971000 11124040 11213750 13905050 14353600 17798464 17942000 22248080 22427500 27810100 34762625 35884000 44496160 44855000 55620200 69525250 71768000 88992320 89710000 111240400 139050500 173813125 179420000 222480800 278101000 347626250 358840000 444961600 556202000 695252500 1112404000 1390505000 2224808000 2781010000 5562020000 11124040000