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14334312102000 = 2435311217186547
BaseRepresentation
bin1101000010010111011110…
…0101001011100001110000
31212202100100212010100210020
43100211313211023201300
53334323132344231000
650253031515403440
73006422421340632
oct320456745134160
955670325110706
1014334312102000
114627169539a80
121736104153580
137cc948613697
14377ada5b2a52
1519cd05a5aba0
hexd097794b870

14334312102000 has 160 divisors (see below), whose sum is σ = 50415079014144. Its totient is φ = 3474984736000.

The previous prime is 14334312101953. The next prime is 14334312102001. The reversal of 14334312102000 is 20121343341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334312102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108527274 + ... + 108659273.

Almost surely, 214334312102000 is an apocalyptic number.

14334312102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14334312102000 is an abundant number, since it is smaller than the sum of its proper divisors (36080766912144).

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

14334312102000 is a wasteful number, since it uses less digits than its factorization.

14334312102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217186584 (or 217186568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14334312102000 its reverse (20121343341), we get a palindrome (14354433445341).

The spelling of 14334312102000 in words is "fourteen trillion, three hundred thirty-four billion, three hundred twelve million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 217186547 434373094 651559641 868746188 1085932735 1303119282 1737492376 2171865470 2389052017 2606238564 3257798205 3474984752 4343730940 4778104034 5212477128 5429663675 6515596410 7167156051 8687461880 9556208068 10424954256 10859327350 11945260085 13031192820 14334312102 16288991025 17374923760 19112416136 21718654700 23890520170 26062385640 27148318375 28668624204 32577982050 35835780255 38224832272 43437309400 47781040340 52124771280 54296636750 57337248408 59726300425 65155964100 71671560510 81444955125 86874618800 95562080680 108593273500 114674496816 119452600850 130311928200 143343121020 162889910250 179178901275 191124161360 217186547000 238905201700 260623856400 286686242040 298631502125 325779820500 358357802550 434373094000 477810403400 573372484080 597263004250 651559641000 716715605100 895894506375 955620806800 1194526008500 1303119282000 1433431210200 1791789012750 2389052017000 2866862420400 3583578025500 4778104034000 7167156051000 14334312102000