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14021322023000 = 2353196397115361
BaseRepresentation
bin1100110000001001011111…
…1010110010000001011000
31211122102111001001221122002
43030002113322302001120
53314211131414214000
645453150104020132
72645002300510655
oct314022772620130
954572431057562
1014021322023000
1145164558240a6
1216a5514461648
137a92884a79c6
143668c8168c2c
15194ad7c598d5
hexcc097eb2058

14021322023000 has 128 divisors (see below), whose sum is σ = 34542428356800. Its totient is φ = 5312466432000.

The previous prime is 14021322022997. The next prime is 14021322023041. The reversal of 14021322023000 is 32022312041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 121485320 + ... + 121600680.

Almost surely, 214021322023000 is an apocalyptic number.

14021322023000 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 14021322023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17271214178400).

14021322023000 is an abundant number, since it is smaller than the sum of its proper divisors (20521106333800).

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

14021322023000 is a wasteful number, since it uses less digits than its factorization.

14021322023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121798 (or 121784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14021322023000 its reverse (32022312041), we get a palindrome (14053344335041).

The spelling of 14021322023000 in words is "fourteen trillion, twenty-one billion, three hundred twenty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 6397 9500 12794 19000 25588 31985 51176 63970 115361 121543 127940 159925 230722 243086 255880 319850 461444 486172 576805 607715 639700 799625 922888 972344 1153610 1215430 1279400 1599250 2191859 2307220 2430860 2884025 3038575 3198500 4383718 4614440 4861720 5768050 6077150 6397000 8767436 10959295 11536100 12154300 14420125 15192875 17534872 21918590 23072200 24308600 28840250 30385750 43837180 54796475 57680500 60771500 87674360 109592950 115361000 121543000 219185900 273982375 438371800 547964750 737964317 1095929500 1475928634 2191859000 2951857268 3689821585 5903714536 7379643170 14021322023 14759286340 18449107925 28042644046 29518572680 36898215850 56085288092 70106610115 73796431700 92245539625 112170576184 140213220230 147592863400 184491079250 280426440460 350533050575 368982158500 560852880920 701066101150 737964317000 1402132202300 1752665252875 2804264404600 3505330505750 7010661011500 14021322023000