Search a number
-
+
14042024143200 = 2532521950281131
BaseRepresentation
bin1100110001010110100111…
…0111000110100101100000
31211201101220210202121201200
43030111221313012211200
53320031031140040300
645510452234201200
72646334306566354
oct314255167064540
954641823677650
1014042024143200
114524209610449
1216a9531583200
137ab207484a81
143678cd7bb464
151953ea466200
hexcc569dc6960

14042024143200 has 108 divisors (see below), whose sum is σ = 49515687660348. Its totient is φ = 3744539769600.

The previous prime is 14042024143183. The next prime is 14042024143319. The reversal of 14042024143200 is 234142024041.

14042024143200 is a `hidden beast` number, since 1 + 4 + 0 + 42 + 0 + 2 + 414 + 3 + 200 = 666.

It is a super-3 number, since 3×140420241432003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 975133366 + ... + 975147765.

Almost surely, 214042024143200 is an apocalyptic number.

14042024143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042024143200 is an abundant number, since it is smaller than the sum of its proper divisors (35473663517148).

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

14042024143200 is a wasteful number, since it uses less digits than its factorization.

14042024143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950281157 (or 1950281141 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14042024143200 its reverse (234142024041), we get a palindrome (14276166167241).

The spelling of 14042024143200 in words is "fourteen trillion, forty-two billion, twenty-four million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 1950281131 3900562262 5850843393 7801124524 9751405655 11701686786 15602249048 17552530179 19502811310 23403373572 29254216965 31204498096 35105060358 39005622620 46806747144 48757028275 58508433930 62408996192 70210120716 78011245240 87762650895 93613494288 97514056550 117016867860 140420241432 146271084825 156022490480 175525301790 187226988576 195028113100 234033735720 280840482864 292542169650 312044980960 351050603580 390056226200 438813254475 468067471440 561680965728 585084339300 702101207160 780112452400 877626508950 936134942880 1170168678600 1404202414320 1560224904800 1755253017900 2340337357200 2808404828640 3510506035800 4680674714400 7021012071600 14042024143200