Search a number
-
+
142162612488 = 23331357787743
BaseRepresentation
bin1000010001100110001…
…1010101000100001000
3111120221120000222101000
42010121203111010020
54312122112044423
6145150354055000
713161631160661
oct2043143250410
9446846028330
10142162612488
11553220a7996
1223675b7a460
1310537932c60
146c48936368
153a70a05843
hex21198d5108

142162612488 has 128 divisors (see below), whose sum is σ = 426014668800. Its totient is φ = 43666034688.

The previous prime is 142162612483. The next prime is 142162612541. The reversal of 142162612488 is 884216261241.

142162612488 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 626 + 12 + 4 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142162612483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1576345 + ... + 1664087.

It is an arithmetic number, because the mean of its divisors is an integer number (3328239600).

Almost surely, 2142162612488 is an apocalyptic number.

142162612488 is a gapful number since it is divisible by the number (18) 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 142162612488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213007334400).

142162612488 is an abundant number, since it is smaller than the sum of its proper divisors (283852056312).

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

142162612488 is a wasteful number, since it uses less digits than its factorization.

142162612488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88348 (or 88338 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 142162612488 in words is "one hundred forty-two billion, one hundred sixty-two million, six hundred twelve thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 577 702 936 1154 1404 1731 2308 2808 3462 4616 5193 6924 7501 10386 13848 15002 15579 20772 22503 30004 31158 41544 45006 60008 62316 67509 87743 90012 124632 135018 175486 180024 202527 263229 270036 350972 405054 526458 540072 701944 789687 810108 1052916 1140659 1579374 1620216 2105832 2281318 2369061 3158748 3421977 4562636 4738122 6317496 6843954 9125272 9476244 10265931 13687908 18952488 20531862 27375816 30797793 41063724 50627711 61595586 82127448 101255422 123191172 151883133 202510844 246382344 303766266 405021688 455649399 607532532 658160243 911298798 1215065064 1316320486 1366948197 1822597596 1974480729 2632640972 2733896394 3645195192 3948961458 5265281944 5467792788 5923442187 7897922916 10935585576 11846884374 15795845832 17770326561 23693768748 35540653122 47387537496 71081306244 142162612488