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142531726344 = 23373176135963
BaseRepresentation
bin1000010010111110001…
…1011000110000001000
3111121220021120220101120
42010233203120300020
54313401110220334
6145251141315240
713204032453450
oct2045743306010
9447807526346
10142531726344
11554a1497667
1223759705b20
131059624c117
146c8197ad60
153a93117949
hex212f8d8c08

142531726344 has 128 divisors (see below), whose sum is σ = 420934164480. Its totient is φ = 39356812800.

The previous prime is 142531726339. The next prime is 142531726361. The reversal of 142531726344 is 443627135241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 142531726296 and 142531726305.

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, 3945307 + ... + 3981269.

It is an arithmetic number, because the mean of its divisors is an integer number (3288548160).

Almost surely, 2142531726344 is an apocalyptic number.

142531726344 is a gapful number since it is divisible by the number (14) 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 142531726344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210467082240).

142531726344 is an abundant number, since it is smaller than the sum of its proper divisors (278402438136).

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

142531726344 is a wasteful number, since it uses less digits than its factorization.

142531726344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36771 (or 36767 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 142531726344 in words is "one hundred forty-two billion, five hundred thirty-one million, seven hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 761 868 1302 1522 1736 2283 2604 3044 4566 5208 5327 6088 9132 10654 15981 18264 21308 23591 31962 35963 42616 47182 63924 70773 71926 94364 107889 127848 141546 143852 165137 188728 215778 251741 283092 287704 330274 431556 495411 503482 566184 660548 755223 863112 990822 1006964 1114853 1321096 1510446 1981644 2013928 2229706 3020892 3344559 3963288 4459412 6041784 6689118 7803971 8918824 13378236 15607942 23411913 26756472 27367843 31215884 46823826 54735686 62431768 82103529 93647652 109471372 164207058 187295304 191574901 218942744 328414116 383149802 574724703 656828232 766299604 848403133 1149449406 1532599208 1696806266 2298898812 2545209399 3393612532 4597797624 5090418798 5938821931 6787225064 10180837596 11877643862 17816465793 20361675192 23755287724 35632931586 47510575448 71265863172 142531726344