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144206504 = 231319223167
BaseRepresentation
bin10001001100001…
…10101010101000
3101001100110010122
420212012222220
5243404102004
622150502412
73400510061
oct1046065250
9331313118
10144206504
1174445532
1240364a08
1323b50bc0
141521b568
15c9d7cbe
hex8986aa8

144206504 has 96 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 59951232.

The previous prime is 144206497. The next prime is 144206519. The reversal of 144206504 is 405602441.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863429 + ... + 863595.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2144206504 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 144206504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

144206504 is an abundant number, since it is smaller than the sum of its proper divisors (178393816).

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

144206504 is a wasteful number, since it uses less digits than its factorization.

144206504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 144206504 is about 12008.6012507702. The cubic root of 144206504 is about 524.3987117521.

Adding to 144206504 its reverse (405602441), we get a palindrome (549808945).

The spelling of 144206504 in words is "one hundred forty-four million, two hundred six thousand, five hundred four".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 167 184 247 299 334 361 437 494 598 668 722 874 988 1196 1336 1444 1748 1976 2171 2392 2888 3173 3496 3841 4342 4693 5681 6346 7682 8303 8684 9386 11362 12692 15364 16606 17368 18772 22724 25384 30728 33212 37544 41249 45448 49933 60287 66424 72979 82498 99866 107939 120574 145958 164996 199732 215878 241148 291916 329992 399464 431756 482296 583832 783731 863512 948727 1386601 1567462 1897454 2773202 3134924 3794908 5546404 6269848 7589816 11092808 18025813 36051626 72103252 144206504