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142304312244424 = 231131672932657243
BaseRepresentation
bin100000010110110011001101…
…111110110011100011001000
3200122212011022012021010120211
4200112303031332303203020
5122123003212413310144
61222353410515330504
741655101342140621
oct4026631576634310
9618764265233524
10142304312244424
1141384a1343a3a0
1213b636422b0a34
1361533152bc195
14271d7cb8b2a48
15116b9dd52a034
hex816ccdfb38c8

142304312244424 has 128 divisors (see below), whose sum is σ = 305992062996480. Its totient is φ = 61452441388800.

The previous prime is 142304312244383. The next prime is 142304312244469. The reversal of 142304312244424 is 424442213403241.

142304312244424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 52224747 + ... + 54881989.

It is an arithmetic number, because the mean of its divisors is an integer number (2390562992160).

Almost surely, 2142304312244424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142304312244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152996031498240).

142304312244424 is an abundant number, since it is smaller than the sum of its proper divisors (163687750752056).

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

142304312244424 is a wasteful number, since it uses less digits than its factorization.

142304312244424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657651 (or 2657647 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 142304312244424 its reverse (424442213403241), we get a palindrome (566746525647665).

The spelling of 142304312244424 in words is "one hundred forty-two trillion, three hundred four billion, three hundred twelve million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 67 88 124 134 248 268 293 341 536 586 682 737 1172 1364 1474 2077 2344 2728 2948 3223 4154 5896 6446 8308 9083 12892 16616 18166 19631 22847 25784 36332 39262 45694 72664 78524 91388 99913 157048 182776 199826 215941 399652 431882 608561 799304 863764 1217122 1727528 2434244 2657243 4868488 5314486 6694171 10628972 13388342 21257944 26776684 29229673 53553368 58459346 82374533 116918692 164749066 178035281 233837384 329498132 356070562 658996264 712141124 778572199 906119863 1424282248 1557144398 1812239726 1958388091 3114288796 3624479452 3916776182 5519093711 6228577592 7248958904 7833552364 8564294189 11038187422 15667104728 17128588378 22076374844 24135738169 34257176756 44152749688 48271476338 52164337333 60710030821 68514353512 96542952676 104328674666 121420061642 193085905352 208657349332 242840123284 265493119859 417314698664 485680246568 530986239718 573807710663 1061972479436 1147615421326 1617094457323 2123944958872 2295230842652 3234188914646 4590461685304 6468377829292 12936755658584 17788039030553 35576078061106 71152156122212 142304312244424