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14133114302340 = 22351127972442547
BaseRepresentation
bin1100110110101001111101…
…0000011110111110000100
31212001010001000222011001110
43031222133100132332010
53323024104230133330
650020355120325020
72656040514301425
oct315523720367604
955033030864043
1014133114302340
114559902635200
121703113473770
137b69930c0717
1436c0913b564c
1519797c382db0
hexcda9f41ef84

14133114302340 has 144 divisors (see below), whose sum is σ = 43551881424576. Its totient is φ = 3421909244160.

The previous prime is 14133114302323. The next prime is 14133114302353. The reversal of 14133114302340 is 4320341133141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14133114302298 and 14133114302307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4564947 + ... + 7007493.

It is an arithmetic number, because the mean of its divisors is an integer number (302443621004).

Almost surely, 214133114302340 is an apocalyptic number.

14133114302340 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 14133114302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775940712288).

14133114302340 is an abundant number, since it is smaller than the sum of its proper divisors (29418767122236).

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

14133114302340 is a wasteful number, since it uses less digits than its factorization.

14133114302340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443378 (or 2443365 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 14133114302340 its reverse (4320341133141), we get a palindrome (18453455435481).

The spelling of 14133114302340 in words is "fourteen trillion, one hundred thirty-three billion, one hundred fourteen million, three hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 797 1210 1452 1594 1815 2391 2420 3188 3630 3985 4782 7260 7970 8767 9564 11955 15940 17534 23910 26301 35068 43835 47820 52602 87670 96437 105204 131505 175340 192874 263010 289311 385748 482185 526020 578622 964370 1157244 1446555 1928740 2442547 2893110 4885094 5786220 7327641 9770188 12212735 14655282 24425470 26868017 29310564 36638205 48850940 53736034 73276410 80604051 107472068 134340085 146552820 161208102 268680170 295548187 322416204 403020255 537360340 591096374 806040510 886644561 1182192748 1477740935 1612081020 1773289122 1946709959 2955481870 3546578244 3893419918 4433222805 5840129877 5910963740 7786839836 8866445610 9733549795 11680259754 17732891220 19467099590 21413809549 23360519508 29200649385 38934199180 42827619098 58401298770 64241428647 85655238196 107069047745 116802597540 128482857294 214138095490 235551905039 256965714588 321207143235 428276190980 471103810078 642414286470 706655715117 942207620156 1177759525195 1284828572940 1413311430234 2355519050390 2826622860468 3533278575585 4711038100780 7066557151170 14133114302340