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145153432242 = 23471331317621
BaseRepresentation
bin1000011100101111010…
…0011001101010110010
3111212122222210100210000
42013023310121222302
54334233234312432
6150403233450430
713326015550050
oct2071364315262
9455588710700
10145153432242
1156617368055
122416b710a16
13108c3451aa0
14704dc2d1d0
153b9838457c
hex21cbd19ab2

145153432242 has 160 divisors (see below), whose sum is σ = 413223681024. Its totient is φ = 37047196800.

The previous prime is 145153432219. The next prime is 145153432261. The reversal of 145153432242 is 242234351541.

It is a happy number.

145153432242 is a `hidden beast` number, since 1 + 4 + 51 + 534 + 32 + 2 + 42 = 666.

145153432242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145153432197 and 145153432206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 298192 + ... + 615812.

Almost surely, 2145153432242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145153432242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206611840512).

145153432242 is an abundant number, since it is smaller than the sum of its proper divisors (268070248782).

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

145153432242 is a wasteful number, since it uses less digits than its factorization.

145153432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317686 (or 317677 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 145153432242 its reverse (242234351541), we get a palindrome (387387783783).

The spelling of 145153432242 in words is "one hundred forty-five billion, one hundred fifty-three million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 273 279 351 378 403 434 546 558 567 651 702 806 819 837 1053 1134 1209 1302 1638 1674 1953 2106 2418 2457 2511 2821 3627 3906 4914 5022 5642 5859 7254 7371 8463 10881 11718 14742 16926 17577 21762 25389 32643 35154 50778 65286 76167 152334 228501 317621 457002 635242 952863 1905726 2223347 2858589 4129073 4446694 5717178 6670041 8258146 8575767 9846251 12387219 13340082 17151534 19692502 20010123 24774438 25727301 28903511 29538753 37161657 40020246 51454602 57807022 59077506 60030369 68923757 74323314 86710533 88616259 111484971 120060738 128001263 137847514 173421066 177232518 180091107 206771271 222969942 256002526 260131599 265848777 334454913 360182214 384003789 413542542 520263198 531697554 620313813 668909826 768007578 780394797 797546331 896008841 1152011367 1240627626 1560789594 1595092662 1792017682 1860941439 2304022734 2341184391 2688026523 3456034101 3721882878 4682368782 5376053046 5582824317 6912068202 8064079569 10368102303 11165648634 16128159138 20736204606 24192238707 48384477414 72576716121 145153432242