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144432410112 = 2932211148549
BaseRepresentation
bin1000011010000011010…
…1111010111000000000
3111210210202001122100200
42012200311322320000
54331244144110422
6150203515445200
713302112141524
oct2064065727000
9453722048320
10144432410112
115628736a4a1
1223baa156800
1310809c61c83
146dc2181d84
153b54e0d2ac
hex21a0d7ae00

144432410112 has 120 divisors (see below), whose sum is σ = 418820087400. Its totient is φ = 47915642880.

The previous prime is 144432410081. The next prime is 144432410131. The reversal of 144432410112 is 211014234441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898014 + ... + 1046562.

It is an arithmetic number, because the mean of its divisors is an integer number (3490167395).

Almost surely, 2144432410112 is an apocalyptic number.

144432410112 is a gapful number since it is divisible by the number (12) 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 144432410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209410043700).

144432410112 is an abundant number, since it is smaller than the sum of its proper divisors (274387677288).

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

144432410112 is a wasteful number, since it uses less digits than its factorization.

144432410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148784 (or 148765 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144432410112 its reverse (211014234441), we get a palindrome (355446644553).

It can be divided in two parts, 1444324 and 10112, that added together give a square (1454436 = 12062).

The spelling of 144432410112 in words is "one hundred forty-four billion, four hundred thirty-two million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 512 576 633 768 844 1152 1266 1536 1688 1899 2304 2532 3376 3798 4608 5064 6752 7596 10128 13504 15192 20256 27008 30384 40512 54016 60768 81024 108032 121536 148549 162048 243072 297098 324096 445647 486144 594196 891294 972288 1188392 1336941 1782588 2376784 2673882 3565176 4753568 5347764 7130352 9507136 10695528 14260704 19014272 21391056 28521408 31343839 38028544 42782112 57042816 62687678 76057088 85564224 94031517 114085632 125375356 171128448 188063034 228171264 250750712 282094551 342256896 376126068 501501424 564189102 684513792 752252136 1003002848 1128378204 1504504272 2006005696 2256756408 3009008544 4012011392 4513512816 6018017088 8024022784 9027025632 12036034176 16048045568 18054051264 24072068352 36108102528 48144136704 72216205056 144432410112