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144668448 = 2532502321
BaseRepresentation
bin10001001111101…
…11011100100000
3101002012220210200
420213313130200
5244013342243
622204425200
73404442621
oct1047673440
9332186720
10144668448
1174730601
1240548200
1323c83242
14152dba48
15ca79ad3
hex89f7720

144668448 has 36 divisors (see below), whose sum is σ = 411401718. Its totient is φ = 48222720.

The previous prime is 144668431. The next prime is 144668467. The reversal of 144668448 is 844866441.

144668448 is a `hidden beast` number, since 144 + 6 + 68 + 448 = 666.

144668448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94711824 + 49956624 = 9732^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250873 + ... + 251448.

Almost surely, 2144668448 is an apocalyptic number.

144668448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144668448 is an abundant number, since it is smaller than the sum of its proper divisors (266733270).

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

144668448 is a wasteful number, since it uses less digits than its factorization.

144668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502337 (or 502326 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 144668448 is about 12027.8197525570. The cubic root of 144668448 is about 524.9580592346.

The spelling of 144668448 in words is "one hundred forty-four million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 502321 1004642 1506963 2009284 3013926 4018568 4520889 6027852 8037136 9041778 12055704 16074272 18083556 24111408 36167112 48222816 72334224 144668448