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144505504 = 251113231373
BaseRepresentation
bin10001001110011…
…11101010100000
3101001220122021201
420213033222200
5243443134004
622201130544
73403163563
oct1047175240
9331818251
10144505504
117462a140
1240489a54
1323c27020
14152984da
15ca466a4
hex89cfaa0

144505504 has 96 divisors (see below), whose sum is σ = 349017984. Its totient is φ = 57953280.

The previous prime is 144505483. The next prime is 144505547. The reversal of 144505504 is 405505441.

144505504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 104562 + ... + 105934.

It is an arithmetic number, because the mean of its divisors is an integer number (3635604).

Almost surely, 2144505504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174508992).

144505504 is an abundant number, since it is smaller than the sum of its proper divisors (204512480).

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

144505504 is a wasteful number, since it uses less digits than its factorization.

144505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 144505504 is about 12021.0442142103. The cubic root of 144505504 is about 524.7608936877.

The spelling of 144505504 in words is "one hundred forty-four million, five hundred five thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 253 286 299 352 368 416 506 572 598 736 1012 1144 1196 1373 2024 2288 2392 2746 3289 4048 4576 4784 5492 6578 8096 9568 10984 13156 15103 17849 21968 26312 30206 31579 35698 43936 52624 60412 63158 71396 105248 120824 126316 142792 196339 241648 252632 285584 347369 392678 410527 483296 505264 571168 694738 785356 821054 1010528 1389476 1570712 1642108 2778952 3141424 3284216 4515797 5557904 6282848 6568432 9031594 11115808 13136864 18063188 36126376 72252752 144505504