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3012300144 = 243372114721
BaseRepresentation
bin1011001110001100…
…0000110101110000
321202221011200222000
42303203000311300
522132122101034
61214524014000
7134435062110
oct26343006560
97687150860
103012300144
111306401757
12700991300
13390100029
142080c9040
151296c3599
hexb38c0d70

3012300144 has 160 divisors (see below), whose sum is σ = 9930554880. Its totient is φ = 856396800.

The previous prime is 3012300127. The next prime is 3012300149. The reversal of 3012300144 is 4410032103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012300149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635704 + ... + 640424.

It is an arithmetic number, because the mean of its divisors is an integer number (62065968).

Almost surely, 23012300144 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 3012300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965277440).

3012300144 is an abundant number, since it is smaller than the sum of its proper divisors (6918254736).

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

3012300144 is a wasteful number, since it uses less digits than its factorization.

3012300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3012300144 is about 54884.4253317824. The cubic root of 3012300144 is about 1444.2179800508.

Adding to 3012300144 its reverse (4410032103), we get a palindrome (7422332247).

The spelling of 3012300144 in words is "three billion, twelve million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 211 216 252 336 378 422 432 504 633 756 844 1008 1266 1477 1512 1688 1899 2532 2954 3024 3376 3798 4431 4721 5064 5697 5908 7596 8862 9442 10128 11394 11816 13293 14163 15192 17724 18884 22788 23632 26586 28326 30384 33047 35448 37768 39879 42489 45576 53172 56652 66094 70896 75536 79758 84978 91152 99141 106344 113304 127467 132188 159516 169956 198282 212688 226608 254934 264376 297423 319032 339912 396564 509868 528752 594846 638064 679824 793128 892269 996131 1019736 1189692 1586256 1784538 1992262 2039472 2379384 2988393 3569076 3984524 4758768 5976786 6972917 7138152 7969048 8965179 11953572 13945834 14276304 15938096 17930358 20918751 23907144 26895537 27891668 35860716 41837502 47814288 53791074 55783336 62756253 71721432 83675004 107582148 111566672 125512506 143442864 167350008 188268759 215164296 251025012 334700016 376537518 430328592 502050024 753075036 1004100048 1506150072 3012300144