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5430618144 = 2532710326153
BaseRepresentation
bin1010000111011000…
…01010100000100000
3112000110122222121100
411003230022200200
542110214240034
62254512554400
7251401330650
oct50354124040
915013588540
105430618144
112337495876
121076852a00
13687130623
14397356360
1521bb67099
hex143b0a820

5430618144 has 144 divisors (see below), whose sum is σ = 17821544832. Its totient is φ = 1536482304.

The previous prime is 5430618139. The next prime is 5430618157. The reversal of 5430618144 is 4418160345.

5430618144 is a `hidden beast` number, since 5 + 4 + 30 + 618 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×54306181442 = 58983226851884009472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5430618099 and 5430618108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194572 + ... + 220724.

It is an arithmetic number, because the mean of its divisors is an integer number (123760728).

Almost surely, 25430618144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910772416).

5430618144 is an abundant number, since it is smaller than the sum of its proper divisors (12390926688).

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

5430618144 is a wasteful number, since it uses less digits than its factorization.

5430618144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26279 (or 26268 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5430618144 is about 73692.7278908849. The cubic root of 5430618144 is about 1757.7202473152.

Adding to 5430618144 its reverse (4418160345), we get a palindrome (9848778489).

The spelling of 5430618144 in words is "five billion, four hundred thirty million, six hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 103 112 126 144 168 206 224 252 288 309 336 412 504 618 672 721 824 927 1008 1236 1442 1648 1854 2016 2163 2472 2884 3296 3708 4326 4944 5768 6489 7416 8652 9888 11536 12978 14832 17304 23072 25956 26153 29664 34608 51912 52306 69216 78459 103824 104612 156918 183071 207648 209224 235377 313836 366142 418448 470754 549213 627672 732284 836896 941508 1098426 1255344 1464568 1647639 1883016 2196852 2510688 2693759 2929136 3295278 3766032 4393704 5387518 5858272 6590556 7532064 8081277 8787408 10775036 13181112 16162554 17574816 18856313 21550072 24243831 26362224 32325108 37712626 43100144 48487662 52724448 56568939 64650216 75425252 86200288 96975324 113137878 129300432 150850504 169706817 193950648 226275756 258600864 301701008 339413634 387901296 452551512 603402016 678827268 775802592 905103024 1357654536 1810206048 2715309072 5430618144