Search a number
-
+
142314113312 = 2572373937379
BaseRepresentation
bin1000010010001010010…
…1010000100100100000
3111121100010010000102122
42010202211100210200
54312424403111222
6145213405203412
713165451001230
oct2044245204440
9447303100378
10142314113312
115539a674788
12236b8860568
1310560139007
146c60ad1cc0
153a7de7ea42
hex2122950920

142314113312 has 96 divisors (see below), whose sum is σ = 334589875200. Its totient is φ = 58259443968.

The previous prime is 142314113269. The next prime is 142314113317. The reversal of 142314113312 is 213311413241.

It is a super-3 number, since 3×1423141133123 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142314113317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3788639 + ... + 3826017.

It is an arithmetic number, because the mean of its divisors is an integer number (3485311200).

Almost surely, 2142314113312 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 142314113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167294937600).

142314113312 is an abundant number, since it is smaller than the sum of its proper divisors (192275761888).

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

142314113312 is a wasteful number, since it uses less digits than its factorization.

142314113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38158 (or 38150 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 142314113312 its reverse (213311413241), we get a palindrome (355625526553).

The spelling of 142314113312 in words is "one hundred forty-two billion, three hundred fourteen million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 739 1288 1478 2576 2956 5152 5173 5912 10346 11824 16997 20692 23648 33994 37379 41384 67988 74758 82768 118979 135976 149516 165536 237958 261653 271952 299032 475916 523306 543904 598064 859717 951832 1046612 1196128 1719434 1903664 2093224 3438868 3807328 4186448 6018019 6877736 8372896 12036038 13755472 24072076 27510944 27623081 48144152 55246162 96288304 110492324 192576608 193361567 220984648 386723134 441969296 635330863 773446268 883938592 1270661726 1546892536 2541323452 3093785072 4447316041 5082646904 6187570144 8894632082 10165293808 17789264164 20330587616 35578528328 71157056656 142314113312