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11014402420 = 22572911512357
BaseRepresentation
bin10100100001000001…
…00111000101110100
31001102121112121122101
422100200213011310
5140024141334140
65020540511444
7536642606260
oct122040470564
931377477571
1011014402420
11474238561a
12217484b584
131066bcaca8
14766b7d0a0
15446e8699a
hex290827174

11014402420 has 96 divisors (see below), whose sum is σ = 27381473280. Its totient is φ = 3641433600.

The previous prime is 11014402411. The next prime is 11014402453. The reversal of 11014402420 is 2420441011.

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 31 ways as a sum of consecutive naturals, for example, 4671882 + ... + 4674238.

It is an arithmetic number, because the mean of its divisors is an integer number (285223680).

Almost surely, 211014402420 is an apocalyptic number.

11014402420 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 11014402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690736640).

11014402420 is an abundant number, since it is smaller than the sum of its proper divisors (16367070860).

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

11014402420 is a wasteful number, since it uses less digits than its factorization.

11014402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11014402420 its reverse (2420441011), we get a palindrome (13434843431).

The spelling of 11014402420 in words is "eleven billion, fourteen million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1151 2030 2302 2357 4060 4604 4714 5755 8057 9428 11510 11785 16114 16499 23020 23570 32228 32998 33379 40285 47140 65996 66758 68353 80570 82495 133516 136706 161140 164990 166895 233653 273412 329980 333790 341765 467306 478471 667580 683530 934612 956942 1168265 1367060 1913884 2336530 2392355 2712907 4673060 4784710 5425814 9569420 10851628 13564535 18990349 27129070 37980698 54258140 75961396 78674303 94951745 157348606 189903490 314697212 379806980 393371515 550720121 786743030 1101440242 1573486060 2202880484 2753600605 5507201210 11014402420