Search a number
-
+
144000320120 = 23529152381509
BaseRepresentation
bin1000011000011100010…
…1101000001001111000
3111202200122000012022122
42012013011220021320
54324403040220440
6150053002340412
713255314345116
oct2060705501170
9452618005278
10144000320120
1156085476928
1223aa94ba708
131076b596317
146d80a26ab6
153b2c00b7b5
hex2187168278

144000320120 has 64 divisors (see below), whose sum is σ = 335397348000. Its totient is φ = 55576718848.

The previous prime is 144000320117. The next prime is 144000320131. The reversal of 144000320120 is 21023000441.

It is a congruent number.

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, 1725926 + ... + 1807434.

Almost surely, 2144000320120 is an apocalyptic number.

144000320120 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 144000320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167698674000).

144000320120 is an abundant number, since it is smaller than the sum of its proper divisors (191397027880).

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

144000320120 is a wasteful number, since it uses less digits than its factorization.

144000320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83072 (or 83068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 144000320120 its reverse (21023000441), we get a palindrome (165023320561).

The spelling of 144000320120 in words is "one hundred forty-four billion, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1523 3046 6092 7615 12184 15230 30460 44167 60920 81509 88334 163018 176668 220835 326036 353336 407545 441670 652072 815090 883340 1630180 1766680 2363761 3260360 4727522 9455044 11818805 18910088 23637610 47275220 94550440 124138207 248276414 496552828 620691035 993105656 1241382070 2482764140 3600008003 4965528280 7200016006 14400032012 18000040015 28800064024 36000080030 72000160060 144000320120