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144122214728 = 2379216992
BaseRepresentation
bin1000011000111001011…
…0100111100101001000
3111210000010101002021202
42012032112213211020
54330130241332403
6150113035123332
713261324420022
oct2061626474510
9453003332252
10144122214728
1156138262078
1223b222a3548
131078a9046cb
146d92cb7012
153b37a88688
hex218e5a7948

144122214728 has 36 divisors (see below), whose sum is σ = 273854259315. Its totient is φ = 71107064496.

The previous prime is 144122214671. The next prime is 144122214749. The reversal of 144122214728 is 827412221441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 72061107364 + 72061107364 = 268442^2 + 268442^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=268442.

It is a super-2 number, since 2×1441222147282 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144122214691 and 144122214700.

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 8 ways as a sum of consecutive naturals, for example, 84826823 + ... + 84828521.

Almost surely, 2144122214728 is an apocalyptic number.

It is an amenable number.

144122214728 is a deficient number, since it is larger than the sum of its proper divisors (129732044587).

144122214728 is an frugal number, since it uses more digits than its factorization.

144122214728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 1780 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The spelling of 144122214728 in words is "one hundred forty-four billion, one hundred twenty-two million, two hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 79 158 316 632 1699 3398 6241 6796 12482 13592 24964 49928 134221 268442 536884 1073768 2886601 5773202 10603459 11546404 21206918 23092808 42413836 84827672 228041479 456082958 912165916 1824331832 18015276841 36030553682 72061107364 144122214728