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144433000 = 2353971489
BaseRepresentation
bin10001001101111…
…01111101101000
3101001202221211101
420212331331220
5243433324000
622155411144
73402442315
oct1046757550
9331687741
10144433000
117458a718
1240453ab4
1323c0001a
1415279d0c
15ca2ee6a
hex89bdf68

144433000 has 64 divisors (see below), whose sum is σ = 341686800. Its totient is φ = 57139200.

The previous prime is 144432997. The next prime is 144433013. The reversal of 144433000 is 334441.

It can be written as a sum of positive squares in 8 ways, for example, as 676 + 144432324 = 26^2 + 12018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96256 + ... + 97744.

Almost surely, 2144433000 is an apocalyptic number.

144433000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170843400).

144433000 is an abundant number, since it is smaller than the sum of its proper divisors (197253800).

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

144433000 is a wasteful number, since it uses less digits than its factorization.

144433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 144433000 is about 12018.0281244470. The cubic root of 144433000 is about 524.6731147270.

Adding to 144433000 its reverse (334441), we get a palindrome (144767441).

The spelling of 144433000 in words is "one hundred forty-four million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1489 1940 2425 2978 3880 4850 5956 7445 9700 11912 12125 14890 19400 24250 29780 37225 48500 59560 74450 97000 144433 148900 186125 288866 297800 372250 577732 722165 744500 1155464 1444330 1489000 2888660 3610825 5777320 7221650 14443300 18054125 28886600 36108250 72216500 144433000