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11434421000 = 2353176710039
BaseRepresentation
bin10101010011000101…
…10110101100001000
31002111212212202211002
422221202312230020
5141404202433000
65130343154132
7553232655242
oct125142665410
932455782732
1011434421000
114938483812
122271445948
131102c2b2b2
147a6875092
1546dca18d5
hex2a98b6b08

11434421000 has 128 divisors (see below), whose sum is σ = 28756166400. Its totient is φ = 4240051200.

The previous prime is 11434420973. The next prime is 11434421077. The reversal of 11434421000 is 12443411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1133981 + ... + 1144019.

It is an arithmetic number, because the mean of its divisors is an integer number (224657550).

Almost surely, 211434421000 is an apocalyptic number.

11434421000 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 11434421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378083200).

11434421000 is an abundant number, since it is smaller than the sum of its proper divisors (17321745400).

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

11434421000 is a wasteful number, since it uses less digits than its factorization.

11434421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11434421000 its reverse (12443411), we get a palindrome (11446864411).

The spelling of 11434421000 in words is "eleven billion, four hundred thirty-four million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 67 68 85 100 125 134 136 170 200 250 268 335 340 425 500 536 670 680 850 1000 1139 1340 1675 1700 2125 2278 2680 3350 3400 4250 4556 5695 6700 8375 8500 9112 10039 11390 13400 16750 17000 20078 22780 28475 33500 40156 45560 50195 56950 67000 80312 100390 113900 142375 170663 200780 227800 250975 284750 341326 401560 501950 569500 672613 682652 853315 1003900 1139000 1254875 1345226 1365304 1706630 2007800 2509750 2690452 3363065 3413260 4266575 5019500 5380904 6726130 6826520 8533150 10039000 11434421 13452260 16815325 17066300 21332875 22868842 26904520 33630650 34132600 42665750 45737684 57172105 67261300 84076625 85331500 91475368 114344210 134522600 168153250 170663000 228688420 285860525 336306500 457376840 571721050 672613000 1143442100 1429302625 2286884200 2858605250 5717210500 11434421000