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144405640 = 23527713033
BaseRepresentation
bin10001001101101…
…11010010001000
3101001201120022001
420212313102020
5243431440030
622155040344
73402266461
oct1046672210
9331646261
10144405640
1174571105
12404400b4
1323bc0732
141526dd68
15ca26cca
hex89b7488

144405640 has 32 divisors (see below), whose sum is σ = 326110680. Its totient is φ = 57549312.

The previous prime is 144405637. The next prime is 144405647. The reversal of 144405640 is 46504441.

It can be written as a sum of positive squares in 4 ways, for example, as 101082916 + 43322724 = 10054^2 + 6582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144405599 and 144405608.

It is not an unprimeable number, because it can be changed into a prime (144405647) 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, 4564 + ... + 17596.

Almost surely, 2144405640 is an apocalyptic number.

144405640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144405640 is an abundant number, since it is smaller than the sum of its proper divisors (181705040).

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

144405640 is a wasteful number, since it uses less digits than its factorization.

144405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 144405640 is about 12016.8897806379. The cubic root of 144405640 is about 524.6399829567.

The spelling of 144405640 in words is "one hundred forty-four million, four hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 277 554 1108 1385 2216 2770 5540 11080 13033 26066 52132 65165 104264 130330 260660 521320 3610141 7220282 14440564 18050705 28881128 36101410 72202820 144405640