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14204025144400 = 2452713390220471
BaseRepresentation
bin1100111010110010000111…
…0111111000010001010000
31212021220001221020011100011
43032230201313320101100
53330204320414110100
650113123350004304
72664130661434330
oct316544167702120
955256057204304
1014204025144400
114586990994403
121714a03346694
137c0584159670
1437169ad6b0c0
1519972c912bba
hexceb21df8450

14204025144400 has 120 divisors (see below), whose sum is σ = 42000209842304. Its totient is φ = 4495339814400.

The previous prime is 14204025144391. The next prime is 14204025144401. The reversal of 14204025144400 is 444152040241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204025144401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195073836 + ... + 195146635.

Almost surely, 214204025144400 is an apocalyptic number.

14204025144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204025144400 is an abundant number, since it is smaller than the sum of its proper divisors (27796184697904).

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

14204025144400 is a wasteful number, since it uses less digits than its factorization.

14204025144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390220509 (or 390220498 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 14204025144400 its reverse (444152040241), we get a palindrome (14648177184641).

The spelling of 14204025144400 in words is "fourteen trillion, two hundred four billion, twenty-five million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 390220471 780440942 1560881884 1951102355 2731543297 3121763768 3902204710 5072866123 5463086594 6243527536 7804409420 9755511775 10145732246 10926173188 13657716485 15608818840 19511023550 20291464492 21852346376 25364330615 27315432970 31217637680 35510062861 39022047100 40582928984 43704692752 50728661230 54630865940 68288582425 71020125722 78044094200 81165857968 101457322460 109261731880 126821653075 136577164850 142040251444 156088188400 177550314305 202914644920 218523463760 253643306150 273154329700 284080502888 355100628610 405829289840 507286612300 546308659400 568161005776 710201257220 887751571525 1014573224600 1092617318800 1420402514440 1775503143050 2029146449200 2840805028880 3551006286100 7102012572200 14204025144400