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14414004331320 = 23351147922796869
BaseRepresentation
bin1101000111000000010110…
…0110111010001100111000
31220000222001202010001210010
43101300011212322030320
53342124340102100240
650353411400421520
73015243315166626
oct321600546721470
956028052101703
1014414004331320
114657a43744420
121749644a778a0
13807308a59769
1437b8da514516
1519ee1bed3280
hexd1c059ba338

14414004331320 has 128 divisors (see below), whose sum is σ = 47271589632000. Its totient is φ = 3487008929280.

The previous prime is 14414004331313. The next prime is 14414004331333. The reversal of 14414004331320 is 2313340041441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10766155 + ... + 12030714.

It is an arithmetic number, because the mean of its divisors is an integer number (369309294000).

Almost surely, 214414004331320 is an apocalyptic number.

14414004331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14414004331320 is an abundant number, since it is smaller than the sum of its proper divisors (32857585300680).

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

14414004331320 is a wasteful number, since it uses less digits than its factorization.

14414004331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22797373 (or 22797369 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14414004331320 its reverse (2313340041441), we get a palindrome (16727344372761).

The spelling of 14414004331320 in words is "fourteen trillion, four hundred fourteen billion, four million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 479 660 958 1320 1437 1916 2395 2874 3832 4790 5269 5748 7185 9580 10538 11496 14370 15807 19160 21076 26345 28740 31614 42152 52690 57480 63228 79035 105380 126456 158070 210760 316140 632280 22796869 45593738 68390607 91187476 113984345 136781214 182374952 227968690 250765559 273562428 341953035 455937380 501531118 547124856 683906070 752296677 911874760 1003062236 1253827795 1367812140 1504593354 2006124472 2507655590 2735624280 3009186708 3761483385 5015311180 6018373416 7522966770 10030622360 10919700251 15045933540 21839400502 30091867080 32759100753 43678801004 54598501255 65518201506 87357602008 109197002510 120116702761 131036403012 163795503765 218394005020 240233405522 262072806024 327591007530 360350108283 436788010040 480466811044 600583513805 655182015060 720700216566 960933622088 1201167027610 1310364030120 1441400433132 1801750541415 2402334055220 2882800866264 3603501082830 4804668110440 7207002165660 14414004331320