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144689984 = 264167823
BaseRepresentation
bin10001001111111…
…00101101000000
3101002021000100022
420213330231000
5244020034414
622205113012
73404562455
oct1047745500
9332230308
10144689984
11747457aa
1240558768
1323c8cc9a
141530582c
15ca8118e
hex89fcb40

144689984 has 56 divisors (see below), whose sum is σ = 298874688. Its totient is φ = 69442560.

The previous prime is 144689933. The next prime is 144690037. The reversal of 144689984 is 489986441.

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 7 ways as a sum of consecutive naturals, for example, 175397 + ... + 176219.

It is an arithmetic number, because the mean of its divisors is an integer number (5337048).

Almost surely, 2144689984 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 144689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149437344).

144689984 is an abundant number, since it is smaller than the sum of its proper divisors (154184704).

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

144689984 is an equidigital number, since it uses as much as digits as its factorization.

144689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 933 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The square root of 144689984 is about 12028.7149770871. The cubic root of 144689984 is about 524.9841071531.

The spelling of 144689984 in words is "one hundred forty-four million, six hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 67 82 134 164 268 328 536 656 823 1072 1312 1646 2144 2624 2747 3292 4288 5494 6584 10988 13168 21976 26336 33743 43952 52672 55141 67486 87904 110282 134972 175808 220564 269944 441128 539888 882256 1079776 1764512 2159552 2260781 3529024 4521562 9043124 18086248 36172496 72344992 144689984