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144404440020 = 223253592234671
BaseRepresentation
bin1000011001111100101…
…1001110001111010100
3111210201210102121121100
42012133023032033110
54331220014040040
6150201040150100
713301322326211
oct2063713161724
9453653377540
10144404440020
11562725a6115
1223ba0908330
131080421ac19
146dbc580b08
153b52735b30
hex219f2ce3d4

144404440020 has 72 divisors (see below), whose sum is σ = 439247128320. Its totient is φ = 38400569280.

The previous prime is 144404440007. The next prime is 144404440027. The reversal of 144404440020 is 20044404441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404440027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1052716 + ... + 1181955.

It is an arithmetic number, because the mean of its divisors is an integer number (6100654560).

Almost surely, 2144404440020 is an apocalyptic number.

144404440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144404440020 is an abundant number, since it is smaller than the sum of its proper divisors (294842688300).

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

144404440020 is a wasteful number, since it uses less digits than its factorization.

144404440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235045 (or 2235040 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 144404440020 its reverse (20044404441), we get a palindrome (164448844461).

The spelling of 144404440020 in words is "one hundred forty-four billion, four hundred four million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 10770 12924 16155 21540 32310 64620 2234671 4469342 6704013 8938684 11173355 13408026 20112039 22346710 26816052 33520065 40224078 44693420 67040130 80448156 100560195 134080260 201120390 402240780 802246889 1604493778 2406740667 3208987556 4011234445 4813481334 7220222001 8022468890 9626962668 12033703335 14440444002 16044937780 24067406670 28880888004 36101110005 48134813340 72202220010 144404440020