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14053211633340 = 223251113513525241
BaseRepresentation
bin1100110010000000010010…
…1011111111011010111100
31211202110210111000000002100
43030200010223333122330
53320221434134231330
645515542321025100
72650211453644605
oct314400453773274
954673714000070
1014053211633340
114528a2a667370
1216ab734185190
137ac29b1a6619
14368271534dac
151958526dd060
hexcc804aff6bc

14053211633340 has 144 divisors (see below), whose sum is σ = 46506884782176. Its totient is φ = 3406580582400.

The previous prime is 14053211633303. The next prime is 14053211633381. The reversal of 14053211633340 is 4333611235041.

14053211633340 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 3 + 2 + 11 + 633 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×140532116333402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14053211633295 and 14053211633304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26493120 + ... + 27018360.

It is an arithmetic number, because the mean of its divisors is an integer number (322964477654).

Almost surely, 214053211633340 is an apocalyptic number.

14053211633340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14053211633340 is an abundant number, since it is smaller than the sum of its proper divisors (32453673148836).

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

14053211633340 is a wasteful number, since it uses less digits than its factorization.

14053211633340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538780 (or 538775 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 14053211633340 its reverse (4333611235041), we get a palindrome (18386822868381).

The spelling of 14053211633340 in words is "fourteen trillion, fifty-three billion, two hundred eleven million, six hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 13513 27026 40539 54052 67565 81078 121617 135130 148643 162156 202695 243234 270260 297286 405390 445929 486468 525241 594572 608085 743215 810780 891858 1050482 1216170 1337787 1486430 1575723 1783716 2100964 2229645 2432340 2626205 2675574 2972860 3151446 4459290 4727169 5252410 5351148 5777651 6302892 6688935 7878615 8918580 9454338 10504820 11555302 13377870 15757230 17332953 18908676 23110604 23635845 26755740 28888255 31514460 34665906 47271690 51998859 57776510 69331812 86664765 94543380 103997718 115553020 173329530 207995436 259994295 346659060 519988590 1039977180 7097581633 14195163266 21292744899 28390326532 35487908165 42585489798 63878234697 70975816330 78073397963 85170979596 106463724495 127756469394 141951632660 156146795926 212927448990 234220193889 255512938788 312293591852 319391173485 390366989815 425854897980 468440387778 638782346970 702660581667 780733979630 936880775556 1171100969445 1277564693940 1405321163334 1561467959260 2342201938890 2810642326668 3513302908335 4684403877780 7026605816670 14053211633340