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114025435414254 = 23371367346331333
BaseRepresentation
bin11001111011010010011101…
…100100101011111011101110
3112221201201120122110101221000
4121323102131210223323232
5104421143042431224004
61042302321211021130
733006031405134450
oct3173223544537356
9487651518411830
10114025435414254
1133371a08721a81
1210956a8773a7a6
134b81724894170
142022c093aa2d0
15d2b0e36ebc39
hex67b49d92beee

114025435414254 has 128 divisors (see below), whose sum is σ = 316519132769280. Its totient is φ = 29623796813952.

The previous prime is 114025435414249. The next prime is 114025435414283. The reversal of 114025435414254 is 452414534520411.

114025435414254 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 54 + 3 + 541 + 4 + 2 + 54 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172836429 + ... + 173494904.

It is an arithmetic number, because the mean of its divisors is an integer number (2472805724760).

Almost surely, 2114025435414254 is an apocalyptic number.

114025435414254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114025435414254 is an abundant number, since it is smaller than the sum of its proper divisors (202493697355026).

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

114025435414254 is a wasteful number, since it uses less digits than its factorization.

114025435414254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346331431 (or 346331425 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 114025435414254 its reverse (452414534520411), we get a palindrome (566439969934665).

The spelling of 114025435414254 in words is "one hundred fourteen trillion, twenty-five billion, four hundred thirty-five million, four hundred fourteen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 67 78 91 117 126 134 182 189 201 234 273 351 378 402 469 546 603 702 819 871 938 1206 1407 1638 1742 1809 2457 2613 2814 3618 4221 4914 5226 6097 7839 8442 12194 12663 15678 18291 23517 25326 36582 47034 54873 109746 164619 329238 346331333 692662666 1038993999 2077987998 2424319331 3116981997 4502307329 4848638662 6233963994 7272957993 9004614658 9350945991 13506921987 14545915986 18701891982 21818873979 23204199311 27013843974 31516151303 40520765961 43637747958 46408398622 63032302606 65456621937 69612597933 81041531922 94548453909 121562297883 130913243874 139225195866 162429395177 189096907818 208837793799 243124595766 283645361727 301654591043 324858790354 417675587598 487288185531 567290723454 603309182086 626513381397 850936085181 904963773129 974576371062 1253026762794 1461864556593 1701872170362 1809927546258 2111582137301 2714891319387 2923729113186 4223164274602 4385593669779 5429782638774 6334746411903 8144673958161 8771187339558 12669492823806 16289347916322 19004239235709 38008478471418 57012717707127 114025435414254