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144975468 = 223113171499
BaseRepresentation
bin10001010010000…
…10011001101100
3101002210111221210
420221002121230
5244103203333
622215154420
73410162001
oct1051023154
9332714853
10144975468
1174920240
1240675a10
132405cc01
141537b8a8
15cadaa63
hex8a4266c

144975468 has 96 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 41832000.

The previous prime is 144975461. The next prime is 144975469. The reversal of 144975468 is 864579441.

It is not an unprimeable number, because it can be changed into a prime (144975461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 290283 + ... + 290781.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2144975468 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 144975468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

144975468 is an abundant number, since it is smaller than the sum of its proper divisors (242096532).

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

144975468 is a wasteful number, since it uses less digits than its factorization.

144975468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 144975468 is about 12040.5758998480. The cubic root of 144975468 is about 525.3291577581.

The spelling of 144975468 in words is "one hundred forty-four million, nine hundred seventy-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 124 132 142 186 213 284 341 372 426 499 682 781 852 998 1023 1364 1497 1562 1996 2046 2201 2343 2994 3124 4092 4402 4686 5489 5988 6603 8804 9372 10978 13206 15469 16467 21956 24211 26412 30938 32934 35429 46407 48422 61876 65868 70858 72633 92814 96844 106287 141716 145266 170159 185628 212574 290532 340318 389719 425148 510477 680636 779438 1020954 1098299 1169157 1558876 2041908 2196598 2338314 3294897 4393196 4676628 6589794 12081289 13179588 24162578 36243867 48325156 72487734 144975468