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144453330 = 232571671373
BaseRepresentation
bin10001001110000…
…10111011010010
3101001210222201100
420213002323102
5243440001310
622200045230
73402555510
oct1047027322
9331728640
10144453330
11745a3a1a
1240463816
1323c09358
14152834b0
15ca35ec0
hex89c2ed2

144453330 has 96 divisors (see below), whose sum is σ = 432117504. Its totient is φ = 32796288.

The previous prime is 144453329. The next prime is 144453341. The reversal of 144453330 is 33354441.

It is a junction number, because it is equal to n+sod(n) for n = 144453294 and 144453303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104524 + ... + 105896.

It is an arithmetic number, because the mean of its divisors is an integer number (4501224).

Almost surely, 2144453330 is an apocalyptic number.

144453330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144453330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216058752).

144453330 is an abundant number, since it is smaller than the sum of its proper divisors (287664174).

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

144453330 is a wasteful number, since it uses less digits than its factorization.

144453330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 144453330 is about 12018.8739073176. The cubic root of 144453330 is about 524.6977307635.

The spelling of 144453330 in words is "one hundred forty-four million, four hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 167 210 315 334 501 630 835 1002 1169 1373 1503 1670 2338 2505 2746 3006 3507 4119 5010 5845 6865 7014 7515 8238 9611 10521 11690 12357 13730 15030 17535 19222 20595 21042 24714 28833 35070 41190 48055 52605 57666 61785 86499 96110 105210 123570 144165 172998 229291 288330 432495 458582 687873 864990 1146455 1375746 1605037 2063619 2292910 3210074 3439365 4127238 4815111 6878730 8025185 9630222 10318095 14445333 16050370 20636190 24075555 28890666 48151110 72226665 144453330