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142413323140 = 225111921819907
BaseRepresentation
bin1000010010100001111…
…1101101101110000100
3111121121000210101201201
42010220133231232010
54313130302320030
6145231311432244
713201064162554
oct2045037555604
9447530711651
10142413323140
1155440676580
1223725b25684
1310577863c5a
146c6dd59164
153a87a2a2ca
hex21287edb84

142413323140 has 144 divisors (see below), whose sum is σ = 346268430144. Its totient is φ = 48785068800.

The previous prime is 142413323081. The next prime is 142413323243. The reversal of 142413323140 is 41323314241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 142413323099 and 142413323108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14370067 + ... + 14379973.

It is an arithmetic number, because the mean of its divisors is an integer number (2404641876).

Almost surely, 2142413323140 is an apocalyptic number.

142413323140 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 142413323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173134215072).

142413323140 is an abundant number, since it is smaller than the sum of its proper divisors (203855107004).

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

142413323140 is a wasteful number, since it uses less digits than its factorization.

142413323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 142413323140 its reverse (41323314241), we get a palindrome (183736637381).

The spelling of 142413323140 in words is "one hundred forty-two billion, four hundred thirteen million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 181 190 209 220 361 362 380 418 722 724 836 905 1045 1444 1805 1810 1991 2090 3439 3610 3620 3971 3982 4180 6878 7220 7942 7964 9907 9955 13756 15884 17195 19814 19855 19910 34390 37829 39628 39710 39820 49535 65341 68780 75658 79420 99070 108977 130682 151316 188233 189145 198140 217954 261364 326705 376466 378290 435908 544885 653410 718751 752932 756580 941165 1089770 1306820 1437502 1793167 1882330 2070563 2179540 2875004 3576427 3586334 3593755 3764660 4141126 7152854 7172668 7187510 8282252 8965835 10352815 14305708 14375020 17882135 17931670 19724837 20705630 34070173 35764270 35863340 39340697 39449674 41411260 68140346 71528540 78681394 78899348 98624185 136280692 157362788 170350865 196703485 197248370 340701730 374771903 393406970 394496740 647333287 681403460 749543806 786813940 1294666574 1499087612 1873859515 2589333148 3236666435 3747719030 6473332870 7120666157 7495438060 12946665740 14241332314 28482664628 35603330785 71206661570 142413323140