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144354440 = 23523414389
BaseRepresentation
bin10001001101010…
…10110010001000
3101001121222001202
420212222302020
5243423320230
622154003332
73401664266
oct1046526210
9331558052
10144354440
117453669a
1240416548
1323ba3339
1415259436
15ca16a45
hex89aac88

144354440 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 52039680.

The previous prime is 144354433. The next prime is 144354467. The reversal of 144354440 is 44453441.

144354440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1621916 + ... + 1622004.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2144354440 is an apocalyptic number.

144354440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

144354440 is an abundant number, since it is smaller than the sum of its proper divisors (214896760).

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

144354440 is a wasteful number, since it uses less digits than its factorization.

144354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 144354440 is about 12014.7592568474. The cubic root of 144354440 is about 524.5779707380.

Subtracting from 144354440 its reverse (44453441), we obtain a palindrome (99900999).

The spelling of 144354440 in words is "one hundred forty-four million, three hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 43 46 82 86 89 92 115 164 172 178 184 205 215 230 328 344 356 410 430 445 460 712 820 860 890 920 943 989 1640 1720 1763 1780 1886 1978 2047 3526 3560 3649 3772 3827 3956 4094 4715 4945 7052 7298 7544 7654 7912 8188 8815 9430 9890 10235 14104 14596 15308 16376 17630 18245 18860 19135 19780 20470 29192 30616 35260 36490 37720 38270 39560 40549 40940 70520 72980 76540 81098 81880 83927 88021 145960 153080 156907 162196 167854 176042 202745 313814 324392 335708 352084 405490 419635 440105 627628 671416 704168 784535 810980 839270 880210 1255256 1569070 1621960 1678540 1760420 3138140 3357080 3520840 3608861 6276280 7217722 14435444 18044305 28870888 36088610 72177220 144354440