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14210321141000 = 235319990175539
BaseRepresentation
bin1100111011001001100100…
…1001001100110100001000
31212022111022201020221000102
43032302121021030310020
53330310214203003000
650120044215024532
72664443001506465
oct316623111146410
955274281227012
1014210321141000
114589621904886
12171607b96b148
137c1048650c3a
14371ad71ca66c
1519999a5183d5
hexcec9924cd08

14210321141000 has 128 divisors (see below), whose sum is σ = 35006263344000. Its totient is φ = 5384348640000.

The previous prime is 14210321140999. The next prime is 14210321141039. The reversal of 14210321141000 is 14112301241.

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

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, 188081231 + ... + 188156769.

It is an arithmetic number, because the mean of its divisors is an integer number (273486432375).

Almost surely, 214210321141000 is an apocalyptic number.

14210321141000 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 14210321141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503131672000).

14210321141000 is an abundant number, since it is smaller than the sum of its proper divisors (20795942203000).

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

14210321141000 is a wasteful number, since it uses less digits than its factorization.

14210321141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85480 (or 85466 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14210321141000 its reverse (14112301241), we get a palindrome (14224433442241).

The spelling of 14210321141000 in words is "fourteen trillion, two hundred ten billion, three hundred twenty-one million, one hundred forty-one 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 9500 9901 19000 19802 39604 49505 75539 79208 99010 151078 188119 198020 247525 302156 376238 377695 396040 495050 604312 752476 755390 940595 990100 1237625 1435241 1504952 1510780 1881190 1888475 1980200 2475250 2870482 3021560 3762380 3776950 4702975 4950500 5740964 7176205 7524760 7553900 9405950 9442375 9901000 11481928 14352410 15107800 18811900 18884750 23514875 28704820 35881025 37623800 37769500 47029750 57409640 71762050 75539000 94059500 143524100 179405125 188119000 287048200 358810250 717620500 747911639 1435241000 1495823278 2991646556 3739558195 5983293112 7479116390 14210321141 14958232780 18697790975 28420642282 29916465560 37395581950 56841284564 71051605705 74791163900 93488954875 113682569128 142103211410 149582327800 186977909750 284206422820 355258028525 373955819500 568412845640 710516057050 747911639000 1421032114100 1776290142625 2842064228200 3552580285250 7105160570500 14210321141000