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143313411120 = 243511397136739
BaseRepresentation
bin1000010101111000100…
…1010001110000110000
3111200220202110121022120
42011132021101300300
54322001213123440
6145500503434240
713232303616015
oct2053611216060
9450822417276
10143313411120
1155862758a40
1223937455980
131068c18b6a9
146d176d970c
153adba72dd0
hex215e251c30

143313411120 has 160 divisors (see below), whose sum is σ = 485884258560. Its totient is φ = 34654878720.

The previous prime is 143313411113. The next prime is 143313411121. The reversal of 143313411120 is 21114313341.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (143313411121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979711 + ... + 1116449.

It is an arithmetic number, because the mean of its divisors is an integer number (3036776616).

Almost surely, 2143313411120 is an apocalyptic number.

143313411120 is a gapful number since it is divisible by the number (10) 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 143313411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242942129280).

143313411120 is an abundant number, since it is smaller than the sum of its proper divisors (342570847440).

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

143313411120 is a wasteful number, since it uses less digits than its factorization.

143313411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137163 (or 137157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 143313411120 its reverse (21114313341), we get a palindrome (164427724461).

The spelling of 143313411120 in words is "one hundred forty-three billion, three hundred thirteen million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 397 440 528 660 794 880 1191 1320 1588 1985 2382 2640 3176 3970 4367 4764 5955 6352 7940 8734 9528 11910 13101 15880 17468 19056 21835 23820 26202 31760 34936 43670 47640 52404 65505 69872 87340 95280 104808 131010 136739 174680 209616 262020 273478 349360 410217 524040 546956 683695 820434 1048080 1093912 1367390 1504129 1640868 2051085 2187824 2734780 3008258 3281736 4102170 4512387 5469560 6016516 6563472 7520645 8204340 9024774 10939120 12033032 15041290 16408680 18049548 22561935 24066064 30082580 32817360 36099096 45123870 54285383 60165160 72198192 90247740 108570766 120330320 162856149 180495480 217141532 271426915 325712298 360990960 434283064 542853830 597139213 651424596 814280745 868566128 1085707660 1194278426 1302849192 1628561490 1791417639 2171415320 2388556852 2605698384 2985696065 3257122980 3582835278 4342830640 4777113704 5971392130 6514245960 7165670556 8957088195 9554227408 11942784260 13028491920 14331341112 17914176390 23885568520 28662682224 35828352780 47771137040 71656705560 143313411120