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144000034220 = 22571735945501
BaseRepresentation
bin1000011000011100010…
…0100010010110101100
3111202200121110200010202
42012013010202112230
54324403002043340
6150052552253032
713255312044440
oct2060704422654
9452617420122
10144000034220
11560852a1049
1223aa93a1178
131076b4c6153
146d80990820
153b2bea1c15
hex21871225ac

144000034220 has 48 divisors (see below), whose sum is σ = 347597828928. Its totient is φ = 49086048000.

The previous prime is 144000034207. The next prime is 144000034253. The reversal of 144000034220 is 22430000441.

It is a super-2 number, since 2×1440000342202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144000034192 and 144000034201.

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, 2948531 + ... + 2996970.

It is an arithmetic number, because the mean of its divisors is an integer number (7241621436).

Almost surely, 2144000034220 is an apocalyptic number.

144000034220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144000034220 is an abundant number, since it is smaller than the sum of its proper divisors (203597794708).

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

144000034220 is a wasteful number, since it uses less digits than its factorization.

144000034220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945690 (or 5945688 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 144000034220 its reverse (22430000441), we get a palindrome (166430034661).

The spelling of 144000034220 in words is "one hundred forty-four billion, thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 173 346 692 865 1211 1730 2422 3460 4844 6055 12110 24220 5945501 11891002 23782004 29727505 41618507 59455010 83237014 118910020 166474028 208092535 416185070 832370140 1028571673 2057143346 4114286692 5142858365 7200001711 10285716730 14400003422 20571433460 28800006844 36000008555 72000017110 144000034220