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144444224144 = 24112693050951
BaseRepresentation
bin1000011010000110001…
…0111111001010010000
3111210211120021212011102
42012201202333022100
54331310210133034
6150205021003532
713302314435003
oct2064142771220
9453746255142
10144444224144
1156292aa9560
1223bb20b35a8
131080c53a41c
146dc397953a
153b55e9397e
hex21a18bf290

144444224144 has 40 divisors (see below), whose sum is σ = 306437618880. Its totient is φ = 65412368000.

The previous prime is 144444224143. The next prime is 144444224149. The reversal of 144444224144 is 441422444441.

It is a super-2 number, since 2×1444442241442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144444224098 and 144444224107.

It is not an unprimeable number, because it can be changed into a prime (144444224143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1478132 + ... + 1572819.

It is an arithmetic number, because the mean of its divisors is an integer number (7660940472).

Almost surely, 2144444224144 is an apocalyptic number.

It is an amenable number.

144444224144 is an abundant number, since it is smaller than the sum of its proper divisors (161993394736).

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

144444224144 is a wasteful number, since it uses less digits than its factorization.

144444224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051239 (or 3051233 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

Adding to 144444224144 its reverse (441422444441), we get a palindrome (585866668585).

The spelling of 144444224144 in words is "one hundred forty-four billion, four hundred forty-four million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 269 538 1076 2152 2959 4304 5918 11836 23672 47344 3050951 6101902 12203804 24407608 33560461 48815216 67120922 134241844 268483688 536967376 820705819 1641411638 3282823276 6565646552 9027764009 13131293104 18055528018 36111056036 72222112072 144444224144