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14230431434000 = 2453172207189643
BaseRepresentation
bin1100111100010100011111…
…0011111000010100010000
31212101102020020022122211002
43033011013303320110100
53331122410421342000
650133211524241132
72666054233255355
oct317050763702420
955342206278732
1014230431434000
114597101615641
121719b528401a8
137c2c01b343b2
14372a83dc262c
1519a275cbd8d5
hexcf147cf8510

14230431434000 has 160 divisors (see below), whose sum is σ = 36449953053696. Its totient is φ = 5354883225600.

The previous prime is 14230431433969. The next prime is 14230431434029. The reversal of 14230431434000 is 43413403241.

It is a happy number.

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, 74943179 + ... + 75132821.

Almost surely, 214230431434000 is an apocalyptic number.

14230431434000 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 14230431434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224976526848).

14230431434000 is an abundant number, since it is smaller than the sum of its proper divisors (22219521619696).

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

14230431434000 is a wasteful number, since it uses less digits than its factorization.

14230431434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191890 (or 191874 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 14230431434000 its reverse (43413403241), we get a palindrome (14273844837241).

The spelling of 14230431434000 in words is "fourteen trillion, two hundred thirty billion, four hundred thirty-one million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 2207 3400 4250 4414 6800 8500 8828 11035 17000 17656 22070 34000 35312 37519 44140 55175 75038 88280 110350 150076 176560 187595 189643 220700 275875 300152 375190 379286 441400 551750 600304 750380 758572 882800 937975 948215 1103500 1500760 1517144 1875950 1896430 2207000 3001520 3034288 3223931 3751900 3792860 4414000 4689875 4741075 6447862 7503800 7585720 9379750 9482150 12895724 15007600 15171440 16119655 18759500 18964300 23705375 25791448 32239310 37519000 37928600 47410750 51582896 64478620 75038000 75857200 80598275 94821500 128957240 161196550 189643000 257914480 322393100 379286000 402991375 418542101 644786200 805982750 837084202 1289572400 1611965500 1674168404 2092710505 3223931000 3348336808 4185421010 6447862000 6696673616 7115215717 8370842020 10463552525 14230431434 16741684040 20927105050 28460862868 33483368080 35576078585 41854210100 52317762625 56921725736 71152157170 83708420200 104635525250 113843451472 142304314340 167416840400 177880392925 209271050500 284608628680 355760785850 418542101000 569217257360 711521571700 837084202000 889401964625 1423043143400 1778803929250 2846086286800 3557607858500 7115215717000 14230431434000