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144310112330 = 251923291577253
BaseRepresentation
bin1000011001100110001…
…1011001000001001010
3111210111012221021100012
42012121203121001022
54331021342043310
6150143430311522
713266065500316
oct2063143310112
9453435837305
10144310112330
115622432934a
1223b751b85a2
13107ba812217
146dadc28b46
153b49301c05
hex21998d904a

144310112330 has 128 divisors (see below), whose sum is σ = 297077414400. Its totient is φ = 50175949824.

The previous prime is 144310112281. The next prime is 144310112347. The reversal of 144310112330 is 33211013441.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 144310112296 and 144310112305.

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, 19892984 + ... + 19900236.

It is an arithmetic number, because the mean of its divisors is an integer number (2320917300).

Almost surely, 2144310112330 is an apocalyptic number.

144310112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144310112330 is an abundant number, since it is smaller than the sum of its proper divisors (152767302070).

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

144310112330 is a wasteful number, since it uses less digits than its factorization.

144310112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 144310112330 its reverse (33211013441), we get a palindrome (177521125771).

The spelling of 144310112330 in words is "one hundred forty-four billion, three hundred ten million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 5 10 19 23 29 38 46 58 95 115 145 157 190 230 290 314 437 551 667 785 874 1102 1334 1570 2185 2755 2983 3335 3611 4370 4553 5510 5966 6670 7222 7253 9106 12673 14506 14915 18055 22765 25346 29830 36110 36265 45530 63365 68609 72530 86507 104719 126730 137218 137807 166819 173014 209438 210337 275614 333638 343045 420674 432535 523595 686090 689035 834095 865070 1047190 1051685 1138721 1378070 1668190 1989661 2103370 2277442 3169561 3979322 3996403 4837751 5693605 6339122 7992806 9675502 9948305 11387210 15847805 19896610 19982015 21635699 24188755 26190583 31695610 33022909 39964030 43271398 48377510 52381166 66045818 91917269 108178495 130952915 165114545 183834538 216356990 261905830 330229090 459586345 497621077 627435271 759526907 919172690 995242154 1254870542 1519053814 2488105385 3137176355 3797634535 4976210770 6274352710 7595269070 14431011233 28862022466 72155056165 144310112330