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4223440144 = 24721122112
BaseRepresentation
bin1111101110111100…
…1001010100010000
3101220100010222201001
43323233021110100
532122200041034
61535030551344
7206442435400
oct37357112420
911810128631
104223440144
111878027100
1299a508554
13523cc4c11
142c0cb8800
1519abaea14
hexfbbc9510

4223440144 has 135 divisors (see below), whose sum is σ = 10512747063. Its totient is φ = 1637697600.

The previous prime is 4223440057. The next prime is 4223440157. The reversal of 4223440144 is 4410443224.

The square root of 4223440144 is 64988.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20016199 + ... + 20016409.

Almost surely, 24223440144 is an apocalyptic number.

4223440144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4223440144 is the 64988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223440144

4223440144 is an abundant number, since it is smaller than the sum of its proper divisors (6289306919).

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

4223440144 is a wasteful number, since it uses less digits than its factorization.

4223440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The cubic root of 4223440144 is about 1616.4245874017.

Adding to 4223440144 its reverse (4410443224), we get a palindrome (8633883368).

The spelling of 4223440144 in words is "four billion, two hundred twenty-three million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 211 242 308 392 422 484 539 616 784 844 847 968 1078 1232 1477 1688 1694 1936 2156 2321 2954 3376 3388 4312 4642 5908 5929 6776 8624 9284 10339 11816 11858 13552 16247 18568 20678 23632 23716 25531 32494 37136 41356 44521 47432 51062 64988 82712 89042 94864 102124 113729 129976 165424 178084 178717 204248 227458 259952 311647 356168 357434 408496 454916 489731 623294 712336 714868 909832 979462 1246588 1251019 1429736 1819664 1958924 2181529 2493176 2502038 2859472 3428117 3917848 4363058 4986352 5004076 5387041 6856234 7835696 8726116 10008152 10774082 13712468 17452232 20016304 21548164 23996819 27424936 34904464 37709287 43096328 47993638 54849872 75418574 86192656 95987276 150837148 191974552 263965009 301674296 383949104 527930018 603348592 1055860036 2111720072 4223440144