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144311243140 = 22550957141601
BaseRepresentation
bin1000011001100110011…
…1101101000110000100
3111210111022001201112001
42012121213231012010
54331022134240030
6150143510435044
713266111220201
oct2063147550604
9453438051461
10144311243140
1156224a309a9
1223b75662a84
13107bab19b3c
146db0040ca8
153b49476cca
hex21999ed184

144311243140 has 24 divisors (see below), whose sum is σ = 303061698072. Its totient is φ = 57722956800.

The previous prime is 144311243053. The next prime is 144311243159. The reversal of 144311243140 is 41342113441.

It can be written as a sum of positive squares in 4 ways, for example, as 83175713604 + 61135529536 = 288402^2 + 247256^2 .

It is a super-2 number, since 2×1443112431402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144311243099 and 144311243108.

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 7 ways as a sum of consecutive naturals, for example, 948340 + ... + 1089940.

It is an arithmetic number, because the mean of its divisors is an integer number (12627570753).

Almost surely, 2144311243140 is an apocalyptic number.

144311243140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311243140 is an abundant number, since it is smaller than the sum of its proper divisors (158750454932).

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

144311243140 is a wasteful number, since it uses less digits than its factorization.

144311243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192567 (or 192565 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144311243140 its reverse (41342113441), we get a palindrome (185653356581).

The spelling of 144311243140 in words is "one hundred forty-four billion, three hundred eleven million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 50957 101914 141601 203828 254785 283202 509570 566404 708005 1019140 1416010 2832020 7215562157 14431124314 28862248628 36077810785 72155621570 144311243140