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11040420000 = 25354184007
BaseRepresentation
bin10100100100000111…
…10111000010100000
31001111102111110001110
422102003313002200
5140102321420000
65023310303320
7540410010261
oct122203670240
931442443043
1011040420000
114756035a55
1221814b7b40
13106c40a3cc
1476a3d2968
154493c5850
hex2920f70a0

11040420000 has 120 divisors (see below), whose sum is σ = 36214982496. Its totient is φ = 2944096000.

The previous prime is 11040419993. The next prime is 11040420043. The reversal of 11040420000 is 2404011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 32004 + ... + 152003.

Almost surely, 211040420000 is an apocalyptic number.

11040420000 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 11040420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107491248).

11040420000 is an abundant number, since it is smaller than the sum of its proper divisors (25174562496).

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

11040420000 is an equidigital number, since it uses as much as digits as its factorization.

11040420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184040 (or 184017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11040420000 its reverse (2404011), we get a palindrome (11042824011).

The spelling of 11040420000 in words is "eleven billion, forty million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 184007 368014 552021 736028 920035 1104042 1472056 1840070 2208084 2760105 2944112 3680140 4416168 4600175 5520210 5888224 7360280 8832336 9200350 11040420 13800525 14720560 17664672 18400700 22080840 23000875 27601050 29441120 36801400 44161680 46001750 55202100 69002625 73602800 88323360 92003500 110404200 115004375 138005250 147205600 184007000 220808400 230008750 276010500 345013125 368014000 441616800 460017500 552021000 690026250 736028000 920035000 1104042000 1380052500 1840070000 2208084000 2760105000 3680140000 5520210000 11040420000