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14144201376360 = 23351134930702877
BaseRepresentation
bin1100110111010011010000…
…0110010100001001101000
31212002011122201020212101120
43031310310012110021220
53323214311023020420
650025431215015240
72656612332002406
oct315646406241150
955064581225346
1014144201376360
114563581a35aa0
1217052a850a520
137b7a3c084253
1436c823a70476
15197dca8c1d40
hexcdd34194268

14144201376360 has 128 divisors (see below), whose sum is σ = 46422751536000. Its totient is φ = 3419072271360.

The previous prime is 14144201376299. The next prime is 14144201376527. The reversal of 14144201376360 is 6367310244141.

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, 14890759 + ... + 15812118.

It is an arithmetic number, because the mean of its divisors is an integer number (362677746375).

Almost surely, 214144201376360 is an apocalyptic number.

14144201376360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144201376360 is an abundant number, since it is smaller than the sum of its proper divisors (32278550159640).

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

14144201376360 is a wasteful number, since it uses less digits than its factorization.

14144201376360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30703251 (or 30703247 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 14144201376360 in words is "fourteen trillion, one hundred forty-four billion, two hundred one million, three hundred seventy-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 349 440 660 698 1047 1320 1396 1745 2094 2792 3490 3839 4188 5235 6980 7678 8376 10470 11517 13960 15356 19195 20940 23034 30712 38390 41880 46068 57585 76780 92136 115170 153560 230340 460680 30702877 61405754 92108631 122811508 153514385 184217262 245623016 307028770 337731647 368434524 460543155 614057540 675463294 736869048 921086310 1013194941 1228115080 1350926588 1688658235 1842172620 2026389882 2701853176 3377316470 3684345240 4052779764 5065974705 6754632940 8105559528 10131949410 10715304073 13509265880 20263898820 21430608146 32145912219 40527797640 42861216292 53576520365 64291824438 85722432584 107153040730 117868344803 128583648876 160729561095 214306081460 235736689606 257167297752 321459122190 353605034409 428612162920 471473379212 589341724015 642918244380 707210068818 942946758424 1178683448030 1285836488760 1414420137636 1768025172045 2357366896060 2828840275272 3536050344090 4714733792120 7072100688180 14144201376360