Search a number
-
+
14255066014200 = 23325211719952829
BaseRepresentation
bin1100111101110000010000…
…1001010110000111111000
31212110202211001121222220100
43033130010021112013320
53332023333344423300
650152404212555400
73000615552611034
oct317340411260770
955422731558810
1014255066014200
1145a65a3155330
121722888922b60
137c5329745c7b
14373d3da071c4
1519ac1885d700
hexcf7042561f8

14255066014200 has 144 divisors (see below), whose sum is σ = 52225378288200. Its totient is φ = 3455773574400.

The previous prime is 14255066014199. The next prime is 14255066014207. The reversal of 14255066014200 is 241066055241.

14255066014200 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 5 + 0 + 6 + 601 + 42 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14255066014207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 359956615 + ... + 359996214.

Almost surely, 214255066014200 is an apocalyptic number.

14255066014200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14255066014200 is an abundant number, since it is smaller than the sum of its proper divisors (37970312274000).

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

14255066014200 is a wasteful number, since it uses less digits than its factorization.

14255066014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719952862 (or 719952850 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14255066014200 in words is "fourteen trillion, two hundred fifty-five billion, sixty-six million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 719952829 1439905658 2159858487 2879811316 3599764145 4319716974 5759622632 6479575461 7199528290 7919481119 8639433948 10799292435 12959150922 14399056580 15838962238 17278867896 17998820725 21598584870 23758443357 25918301844 28798113160 31677924476 32397877305 35997641450 39597405595 43197169740 47516886714 51836603688 53996462175 63355848952 64795754610 71275330071 71995282900 79194811190 86394339480 95033773428 107992924350 118792216785 129591509220 142550660142 143990565800 158389622380 161989386525 190067546856 197987027975 215985848700 237584433570 259183018440 285101320284 316779244760 323978773050 356376650355 395974055950 431971697400 475168867140 570202640568 593961083925 647957546100 712753300710 791948111900 950337734280 1187922167850 1295915092200 1425506601420 1583896223800 1781883251775 2375844335700 2851013202840 3563766503550 4751688671400 7127533007100 14255066014200