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14801384203752 = 23319346712135641
BaseRepresentation
bin1101011101100011011100…
…1111110110010111101000
31221101222221220200112022210
43113120313033312113220
53420001213324010002
651251354555445120
73055236045605046
oct327306717662750
957358856615283
1014801384203752
11479726056a123
1217b07357567a0
138349c290b1a3
14392568593396
151aa0409b496c
hexd76373f65e8

14801384203752 has 128 divisors (see below), whose sum is σ = 37312178117760. Its totient is φ = 4892815687680.

The previous prime is 14801384203741. The next prime is 14801384203777. The reversal of 14801384203752 is 25730248310841.

It is a happy 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, 2623890852 + ... + 2623896492.

It is an arithmetic number, because the mean of its divisors is an integer number (291501391545).

Almost surely, 214801384203752 is an apocalyptic number.

14801384203752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14801384203752 is an abundant number, since it is smaller than the sum of its proper divisors (22510793914008).

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

14801384203752 is a wasteful number, since it uses less digits than its factorization.

14801384203752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 14801384203752 in words is "fourteen trillion, eight hundred one billion, three hundred eighty-four million, two hundred three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 193 386 467 579 772 934 1158 1213 1401 1544 1868 2316 2426 2802 3639 3736 4632 4852 5604 5641 7278 9704 11208 11282 14556 16923 22564 29112 33846 45128 67692 90131 135384 180262 234109 270393 360524 468218 540786 566471 702327 721048 936436 1081572 1088713 1132942 1404654 1699413 1872872 2163144 2177426 2265884 2634347 2809308 3266139 3398826 4354852 4531768 5268694 5618616 6532278 6797652 6842533 7903041 8709704 10537388 13064556 13595304 13685066 15806082 20527599 21074776 26129112 27370132 31612164 41055198 54740264 63224328 82110396 109328903 164220792 218657806 327986709 437315612 508428971 655973418 874631224 1016857942 1311946836 1320608869 1525286913 2033715884 2623893672 2641217738 3050573826 3195462911 3961826607 4067431768 5282435476 6101147652 6390925822 7923653214 9586388733 10564870952 12202295304 12781851644 15847306428 19172777466 25563703288 31694612856 38345554932 76691109864 616724341823 1233448683646 1850173025469 2466897367292 3700346050938 4933794734584 7400692101876 14801384203752