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143431131344120 = 235311021836913537
BaseRepresentation
bin100000100111001100101001…
…101000100010110011111000
3200210211212211011012022210022
4200213030221220202303320
5122244433424111002440
61225015204015310012
742132362100353324
oct4047145150426370
9623755734168708
10143431131344120
114177988a446994
1214105ab781b308
13620566144a3c9
14275c164b6c984
15118ae8d72acb5
hex827329a22cf8

143431131344120 has 128 divisors (see below), whose sum is σ = 333521128281600. Its totient is φ = 55456623820800.

The previous prime is 143431131344113. The next prime is 143431131344173. The reversal of 143431131344120 is 21443131134341.

It is a happy number.

It is a congruent number.

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, 10595481992 + ... + 10595495528.

It is an arithmetic number, because the mean of its divisors is an integer number (2605633814700).

Almost surely, 2143431131344120 is an apocalyptic number.

143431131344120 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 143431131344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166760564140800).

143431131344120 is an abundant number, since it is smaller than the sum of its proper divisors (190089996937480).

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

143431131344120 is a wasteful number, since it uses less digits than its factorization.

143431131344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22969 (or 22965 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 143431131344120 its reverse (21443131134341), we get a palindrome (164874262478461).

The spelling of 143431131344120 in words is "one hundred forty-three trillion, four hundred thirty-one billion, one hundred thirty-one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1021 1240 2042 4084 5105 8168 8369 10210 13537 16738 20420 27074 31651 33476 40840 41845 54148 63302 66952 67685 83690 108296 126604 135370 158255 167380 253208 259439 270740 316510 334760 419647 518878 541480 633020 839294 1037756 1266040 1297195 1678588 2075512 2098235 2594390 3357176 4196470 5188780 8392940 8544749 10377560 13821277 16785880 17089498 27642554 34178996 42723745 55285108 68357992 69106385 85447490 110570216 113291153 138212770 170894980 226582306 264887219 276425540 341789960 428459587 453164612 529774438 552851080 566455765 856919174 906329224 1059548876 1132911530 1324436095 1713838348 2119097752 2142297935 2265823060 2648872190 3427676696 3512025743 4284595870 4531646120 5297744380 7024051486 8569191740 10595488760 14048102972 17138383480 17560128715 28096205944 35120257430 70240514860 115670267213 140481029720 231340534426 462681068852 578351336065 925362137704 1156702672130 2313405344260 3585778283603 4626810688520 7171556567206 14343113134412 17928891418015 28686226268824 35857782836030 71715565672060 143431131344120