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144068771 = 72113472
BaseRepresentation
bin10001001011001…
…01000010100011
3101001002110012102
420211211002203
5243340200041
622143521015
73366364400
oct1045450243
9331073172
10144068771
1174361000
12402b916b
1323b032c2
14151c32a7
15c9ac09b
hex89650a3

144068771 has 36 divisors (see below), whose sum is σ = 188342136. Its totient is φ = 109872840.

The previous prime is 144068767. The next prime is 144068777. The reversal of 144068771 is 177860441.

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 is not a de Polignac number, because 144068771 - 22 = 144068767 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144068777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3065270 + ... + 3065316.

It is an arithmetic number, because the mean of its divisors is an integer number (5231726).

Almost surely, 2144068771 is an apocalyptic number.

144068771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144068771 is a deficient number, since it is larger than the sum of its proper divisors (44273365).

144068771 is an frugal number, since it uses more digits than its factorization.

144068771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 144068771 is about 12002.8651162962. The cubic root of 144068771 is about 524.2317058430.

The spelling of 144068771 in words is "one hundred forty-four million, sixty-eight thousand, seven hundred seventy-one".

Divisors: 1 7 11 47 49 77 121 329 517 539 847 1331 2209 2303 3619 5687 5929 9317 15463 24299 25333 39809 62557 65219 108241 170093 267289 278663 437899 1190651 1871023 2940179 3065293 13097161 20581253 144068771