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14334220221000 = 2335318947252181
BaseRepresentation
bin1101000010010111001000…
…0110101011101001001000
31212202100010110020022202020
43100211302012223221020
53334322440334033000
650253014434204440
73006420224352201
oct320456206535110
955670113208666
1014334220221000
114627121693469
121736099423720
137cc932583524
14377acc2d65a8
1519ccec95bba0
hexd09721aba48

14334220221000 has 128 divisors (see below), whose sum is σ = 44725304856960. Its totient is φ = 3822241824000.

The previous prime is 14334220220993. The next prime is 14334220221043. The reversal of 14334220221000 is 12202243341.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56714910 + ... + 56967090.

It is an arithmetic number, because the mean of its divisors is an integer number (349416444195).

Almost surely, 214334220221000 is an apocalyptic number.

14334220221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14334220221000 is an abundant number, since it is smaller than the sum of its proper divisors (30391084635960).

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

14334220221000 is a wasteful number, since it uses less digits than its factorization.

14334220221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271152 (or 271138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14334220221000 its reverse (12202243341), we get a palindrome (14346422464341).

The spelling of 14334220221000 in words is "fourteen trillion, three hundred thirty-four billion, two hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 18947 37894 56841 75788 94735 113682 151576 189470 227364 252181 284205 378940 454728 473675 504362 568410 756543 757880 947350 1008724 1136820 1260905 1421025 1513086 1894700 2017448 2273640 2368375 2521810 2842050 3026172 3782715 3789400 4736750 5043620 5684100 6052344 6304525 7105125 7565430 9473500 10087240 11368200 12609050 14210250 15130860 18913575 18947000 25218100 28420500 30261720 31522625 37827150 50436200 56841000 63045250 75654300 94567875 126090500 151308600 189135750 252181000 378271500 756543000 4778073407 9556146814 14334220221 19112293628 23890367035 28668440442 38224587256 47780734070 57336880884 71671101105 95561468140 114673761768 119451835175 143342202210 191122936280 238903670350 286684404420 358355505525 477807340700 573368808840 597259175875 716711011050 955614681400 1194518351750 1433422022100 1791777527625 2389036703500 2866844044200 3583555055250 4778073407000 7167110110500 14334220221000