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144272310 = 235713431229
BaseRepresentation
bin10001001100101…
…10101110110110
3101001110210101220
420212112232312
5243413203220
622152131210
73401202660
oct1046265666
9331423356
10144272310
117448aa16
1240396b06
1323b74b40
1415237530
15c9ec540
hex8996bb6

144272310 has 128 divisors (see below), whose sum is σ = 436423680. Its totient is φ = 29707776.

The previous prime is 144272299. The next prime is 144272327. The reversal of 144272310 is 13272441.

It is a happy number.

It is a super-2 number, since 2×1442723102 = 41628998865472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116776 + ... + 118004.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2144272310 is an apocalyptic number.

144272310 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 144272310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218211840).

144272310 is an abundant number, since it is smaller than the sum of its proper divisors (292151370).

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

144272310 is a wasteful number, since it uses less digits than its factorization.

144272310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 144272310 is about 12011.3408910080. The cubic root of 144272310 is about 524.4784662081.

The spelling of 144272310 in words is "one hundred forty-four million, two hundred seventy-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 43 65 70 78 86 91 105 129 130 182 195 210 215 258 273 301 390 430 455 546 559 602 645 903 910 1118 1229 1290 1365 1505 1677 1806 2458 2730 2795 3010 3354 3687 3913 4515 5590 6145 7374 7826 8385 8603 9030 11739 12290 15977 16770 17206 18435 19565 23478 25809 31954 36870 39130 43015 47931 51618 52847 58695 79885 86030 95862 105694 111839 117390 129045 158541 159770 223678 239655 258090 264235 317082 335517 369929 479310 528470 559195 671034 687011 739858 792705 1109787 1118390 1374022 1585410 1677585 1849645 2061033 2219574 3355170 3435055 3699290 4122066 4809077 5548935 6870110 9618154 10305165 11097870 14427231 20610330 24045385 28854462 48090770 72136155 144272310