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144334710 = 2365131523
BaseRepresentation
bin10001001101001…
…01111101110110
3101001120222000000
420212211331312
5243422202320
622153332130
73401552622
oct1046457566
9331528000
10144334710
1174522893
1240407046
1323b97370
1415252182
15ca10c90
hex89a5f76

144334710 has 112 divisors (see below), whose sum is σ = 419764464. Its totient is φ = 35505216.

The previous prime is 144334691. The next prime is 144334733. The reversal of 144334710 is 17433441.

It is a super-3 number, since 3×1443347103 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94009 + ... + 95531.

It is an arithmetic number, because the mean of its divisors is an integer number (3747897).

Almost surely, 2144334710 is an apocalyptic number.

144334710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144334710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209882232).

144334710 is an abundant number, since it is smaller than the sum of its proper divisors (275429754).

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

144334710 is a wasteful number, since it uses less digits than its factorization.

144334710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 144334710 is about 12013.9381553261. The cubic root of 144334710 is about 524.5540703187.

It can be divided in two parts, 14 and 4334710, that added together give a square (4334724 = 20822).

The spelling of 144334710 in words is "one hundred forty-four million, three hundred thirty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1523 1755 2106 2430 3046 3159 3510 3645 4569 5265 6318 7290 7615 9138 9477 10530 13707 15230 15795 18954 19799 22845 27414 31590 39598 41121 45690 47385 59397 68535 82242 94770 98995 118794 123363 137070 178191 197990 205605 246726 296985 356382 370089 411210 534573 593970 616815 740178 890955 1069146 1110267 1233630 1603719 1781910 1850445 2220534 2672865 3207438 3700890 4811157 5345730 5551335 8018595 9622314 11102670 14433471 16037190 24055785 28866942 48111570 72167355 144334710