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14550243430400 = 21252271952259
BaseRepresentation
bin1101001110111011111000…
…0101110101000000000000
31220111222201111000101100122
43103232332011311000000
53401342344304233100
650540142313235412
73031135411343336
oct323567605650000
956458644011318
1014550243430400
1146aa7a6101a87
12176bb27102b68
1381710b3c3aa2
1438434246bb56
151a374295d985
hexd3bbe175000

14550243430400 has 156 divisors (see below), whose sum is σ = 36094159171200. Its totient is φ = 5817845514240.

The previous prime is 14550243430379. The next prime is 14550243430421. The reversal of 14550243430400 is 403434205541.

It is an interprime number because it is at equal distance from previous prime (14550243430379) and next prime (14550243430421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278399471 + ... + 278451729.

It is an arithmetic number, because the mean of its divisors is an integer number (231372815200).

Almost surely, 214550243430400 is an apocalyptic number.

14550243430400 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 14550243430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047079585600).

14550243430400 is an abundant number, since it is smaller than the sum of its proper divisors (21543915740800).

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

14550243430400 is an equidigital number, since it uses as much as digits as its factorization.

14550243430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55012 (or 54985 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 14550243430400 its reverse (403434205541), we get a palindrome (14953677635941).

The spelling of 14550243430400 in words is "fourteen trillion, five hundred fifty billion, two hundred forty-three million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 2719 3200 4096 5120 5438 6400 10240 10876 12800 13595 20480 21752 25600 27190 43504 51200 52259 54380 67975 87008 102400 104518 108760 135950 174016 209036 217520 261295 271900 348032 418072 435040 522590 543800 696064 836144 870080 1045180 1087600 1306475 1392128 1672288 1740160 2090360 2175200 2612950 2784256 3344576 3480320 4180720 4350400 5225900 5568512 6689152 6960640 8361440 8700800 10451800 11137024 13378304 13921280 16722880 17401600 20903600 26756608 27842560 33445760 34803200 41807200 53513216 55685120 66891520 69606400 83614400 107026432 133783040 139212800 142092221 167228800 214052864 267566080 278425600 284184442 334457600 535132160 568368884 668915200 710461105 1070264320 1136737768 1337830400 1420922210 2273475536 2675660800 2841844420 3552305525 4546951072 5351321600 5683688840 7104611050 9093902144 11367377680 14209222100 18187804288 22734755360 28418444200 36375608576 45469510720 56836888400 72751217152 90939021440 113673776800 145502434304 181878042880 227347553600 291004868608 363756085760 454695107200 582009737216 727512171520 909390214400 1455024343040 1818780428800 2910048686080 3637560857600 7275121715200 14550243430400