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14423214122000 = 245323057312773
BaseRepresentation
bin1101000111100010101010…
…0011011110010000010000
31220001211211120221220111122
43101320222203132100100
53342302220303401000
650401533314301412
73016020456133415
oct321705243362020
956054746856448
1014423214122000
11466093a3a5482
12174b395287868
13808145b11548
1437c13173a10c
151a02aa800085
hexd1e2a8de410

14423214122000 has 80 divisors (see below), whose sum is σ = 34876955825712. Its totient is φ = 5769016985600.

The previous prime is 14423214121993. The next prime is 14423214122029. The reversal of 14423214122000 is 22141232441.

It can be written as a sum of positive squares in 8 ways, for example, as 5164874388496 + 9258339733504 = 2272636^2 + 3042752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 45957614 + ... + 46270386.

Almost surely, 214423214122000 is an apocalyptic number.

14423214122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14423214122000 is an abundant number, since it is smaller than the sum of its proper divisors (20453741703712).

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

14423214122000 is a wasteful number, since it uses less digits than its factorization.

14423214122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335853 (or 335837 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14423214122000 its reverse (22141232441), we get a palindrome (14445355354441).

The spelling of 14423214122000 in words is "fourteen trillion, four hundred twenty-three billion, two hundred fourteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23057 46114 92228 115285 184456 230570 312773 368912 461140 576425 625546 922280 1152850 1251092 1563865 1844560 2305700 2502184 2882125 3127730 4611400 5004368 5764250 6255460 7819325 9222800 11528500 12510920 15638650 23057000 25021840 31277300 39096625 46114000 62554600 78193250 125109200 156386500 312773000 625546000 7211607061 14423214122 28846428244 36058035305 57692856488 72116070610 115385712976 144232141220 180290176525 288464282440 360580353050 576928564880 721160706100 901450882625 1442321412200 1802901765250 2884642824400 3605803530500 7211607061000 14423214122000