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144103344 = 243711127307
BaseRepresentation
bin10001001011011…
…01011110110000
3101001011012121220
420211231132300
5243342301334
622144345040
73366600240
oct1045553660
9331135556
10144103344
1174384a80
1240315180
1323b15c68
14151d1b20
15c9b7449
hex896d7b0

144103344 has 160 divisors (see below), whose sum is σ = 469303296. Its totient is φ = 37013760.

The previous prime is 144103327. The next prime is 144103357. The reversal of 144103344 is 443301441.

144103344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469239 + ... + 469545.

Almost surely, 2144103344 is an apocalyptic number.

144103344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234651648).

144103344 is an abundant number, since it is smaller than the sum of its proper divisors (325199952).

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

144103344 is a wasteful number, since it uses less digits than its factorization.

144103344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144103344 is about 12004.3052277089. The cubic root of 144103344 is about 524.2736367742.

Adding to 144103344 its reverse (443301441), we get a palindrome (587404785).

The spelling of 144103344 in words is "one hundred forty-four million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 127 132 154 168 176 231 254 264 307 308 336 381 462 508 528 614 616 762 889 921 924 1016 1228 1232 1397 1524 1778 1842 1848 2032 2149 2456 2667 2794 3048 3377 3556 3684 3696 4191 4298 4912 5334 5588 6096 6447 6754 7112 7368 8382 8596 9779 10131 10668 11176 12894 13508 14224 14736 16764 17192 19558 20262 21336 22352 23639 25788 27016 29337 33528 34384 38989 39116 40524 42672 47278 51576 54032 58674 67056 70917 77978 78232 81048 94556 103152 116967 117348 141834 155956 156464 162096 189112 233934 234696 272923 283668 311912 378224 428879 467868 469392 545846 567336 623824 818769 857758 935736 1091692 1134672 1286637 1637538 1715516 1871472 2183384 2573274 3002153 3275076 3431032 4366768 5146548 6004306 6550152 6862064 9006459 10293096 12008612 13100304 18012918 20586192 24017224 36025836 48034448 72051672 144103344