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11143434000 = 243531939623
BaseRepresentation
bin10100110000011001…
…10100111100010000
31001202121100002200210
422120030310330100
5140310204342000
65041430244120
7543100424526
oct123014647420
931677302623
1011143434000
1147a91a5996
1221abab6640
131087867a3a
14779d6a316
15453473350
hex298334f10

11143434000 has 160 divisors (see below), whose sum is σ = 36116331264. Its totient is φ = 2955878400.

The previous prime is 11143433999. The next prime is 11143434019. The reversal of 11143434000 is 43434111.

It is a super-2 number, since 2×111434340002 (a number of 21 digits) contains 22 as substring.

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, 1153189 + ... + 1162811.

Almost surely, 211143434000 is an apocalyptic number.

11143434000 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 11143434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058165632).

11143434000 is an abundant number, since it is smaller than the sum of its proper divisors (24972897264).

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

11143434000 is a wasteful number, since it uses less digits than its factorization.

11143434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9826 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11143434000 its reverse (43434111), we get a palindrome (11186868111).

The spelling of 11143434000 in words is "eleven billion, one hundred forty-three million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 193 200 240 250 300 375 386 400 500 579 600 750 772 965 1000 1158 1200 1500 1544 1930 2000 2316 2895 3000 3088 3860 4632 4825 5790 6000 7720 9264 9623 9650 11580 14475 15440 19246 19300 23160 24125 28869 28950 38492 38600 46320 48115 48250 57738 57900 72375 76984 77200 96230 96500 115476 115800 144345 144750 153968 192460 193000 230952 231600 240575 288690 289500 384920 386000 461904 481150 577380 579000 721725 769840 962300 1154760 1158000 1202875 1443450 1857239 1924600 2309520 2405750 2886900 3608625 3714478 3849200 4811500 5571717 5773800 7217250 7428956 9286195 9623000 11143434 11547600 14434500 14857912 18572390 19246000 22286868 27858585 28869000 29715824 37144780 44573736 46430975 55717170 57738000 74289560 89147472 92861950 111434340 139292925 148579120 185723900 222868680 232154875 278585850 371447800 445737360 464309750 557171700 696464625 742895600 928619500 1114343400 1392929250 1857239000 2228686800 2785858500 3714478000 5571717000 11143434000