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114524142142144 = 267236519177979
BaseRepresentation
bin11010000010100010111010…
…110011111000001011000000
3120000111101211101011002100111
4122002202322303320023000
5110002330420342022034
61043323355315001104
733060045001314400
oct3202427263701300
9500441741132314
10114524142142144
1133544463667a49
1210a17667599194
134bb9770ac1367
14203cdd8940800
15d39080a1d364
hex6828bacf82c0

114524142142144 has 42 divisors (see below), whose sum is σ = 264362329397220. Its totient is φ = 49081775202432.

The previous prime is 114524142142133. The next prime is 114524142142159. The reversal of 114524142142144 is 441241241425411.

It is a super-3 number, since 3×1145241421421443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 114524142142097 and 114524142142106.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18259585854 + ... + 18259592125.

Almost surely, 2114524142142144 is an apocalyptic number.

114524142142144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114524142142144 is an abundant number, since it is smaller than the sum of its proper divisors (149838187255076).

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

114524142142144 is an equidigital number, since it uses as much as digits as its factorization.

114524142142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36519178005 (or 36519177988 counting only the distinct ones).

The product of its digits is 163840, while the sum is 40.

Adding to 114524142142144 its reverse (441241241425411), we get a palindrome (555765383567555).

The spelling of 114524142142144 in words is "one hundred fourteen trillion, five hundred twenty-four billion, one hundred forty-two million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 36519177979 73038355958 146076711916 255634245853 292153423832 511268491706 584306847664 1022536983412 1168613695328 1789439720971 2045073966824 2337227390656 3578879441942 4090147933648 7157758883884 8180295867296 14315517767768 16360591734592 28631035535536 57262071071072 114524142142144