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14134230240 = 2535132265101
BaseRepresentation
bin11010010100111011…
…10011110011100000
31100111001001021211220
431022131303303200
5212421330331430
610254305335040
71010154655224
oct151235636340
940431037756
1014134230240
115aa344a419
1228a5637480
131443378c60
14981258784
1557acea110
hex34a773ce0

14134230240 has 96 divisors (see below), whose sum is σ = 47947679136. Its totient is φ = 3479193600.

The previous prime is 14134230239. The next prime is 14134230259. The reversal of 14134230240 is 4203243141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14134230240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126311 + ... + 1138790.

It is an arithmetic number, because the mean of its divisors is an integer number (499454991).

Almost surely, 214134230240 is an apocalyptic number.

14134230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14134230240 is an abundant number, since it is smaller than the sum of its proper divisors (33813448896).

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

14134230240 is a wasteful number, since it uses less digits than its factorization.

14134230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265132 (or 2265124 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14134230240 its reverse (4203243141), we get a palindrome (18337473381).

The spelling of 14134230240 in words is "fourteen billion, one hundred thirty-four million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 2265101 4530202 6795303 9060404 11325505 13590606 18120808 22651010 27181212 29446313 33976515 36241616 45302020 54362424 58892626 67953030 72483232 88338939 90604040 108724848 117785252 135906060 147231565 176677878 181208080 217449696 235570504 271812120 294463130 353355756 362416160 441694695 471141008 543624240 588926260 706711512 883389390 942282016 1087248480 1177852520 1413423024 1766778780 2355705040 2826846048 3533557560 4711410080 7067115120 14134230240