Search a number
-
+
144304532230120 = 23541193455909681
BaseRepresentation
bin100000110011111010000100…
…011000100000111111101000
3200220221101012222001102012021
4200303322010120200333220
5122403241140222330440
61230524330435354224
742252441555402463
oct4063720430407750
9626841188042167
10144304532230120
1141a86232483739
1214227227a52974
136269b222b75b2
14278c53b6682da
1511a3a5a9ad84a
hex833e84620fe8

144304532230120 has 64 divisors (see below), whose sum is σ = 334327688004240. Its totient is φ = 56022181478400.

The previous prime is 144304532230099. The next prime is 144304532230141. The reversal of 144304532230120 is 21032235403441.

It is an interprime number because it is at equal distance from previous prime (144304532230099) and next prime (144304532230141).

It can be written as a sum of positive squares in 8 ways, for example, as 1795230179044 + 142509302051076 = 1339862^2 + 11937726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227638321 + ... + 228271360.

Almost surely, 2144304532230120 is an apocalyptic number.

144304532230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144304532230120 is an abundant number, since it is smaller than the sum of its proper divisors (190023155774120).

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

144304532230120 is a wasteful number, since it uses less digits than its factorization.

144304532230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455909926 (or 455909922 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 144304532230120 its reverse (21032235403441), we get a palindrome (165336767633561).

The spelling of 144304532230120 in words is "one hundred forty-four trillion, three hundred four billion, five hundred thirty-two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 193 205 328 386 410 772 820 965 1544 1640 1930 3860 7720 7913 15826 31652 39565 63304 79130 158260 316520 455909681 911819362 1823638724 2279548405 3647277448 4559096810 9118193620 18236387240 18692296921 37384593842 74769187684 87990568433 93461484605 149538375368 175981136866 186922969210 351962273732 373845938420 439952842165 703924547464 747691876840 879905684330 1759811368660 3519622737320 3607613305753 7215226611506 14430453223012 18038066528765 28860906446024 36076133057530 72152266115060 144304532230120