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142412514608 = 24713883110771
BaseRepresentation
bin1000010010100001110…
…0101000010100110000
3111121120222021022122002
42010220130220110300
54313130100431413
6145231242233132
713201054254410
oct2045034502460
9447528238562
10142412514608
1155440174071
12237257b57a8
131057763cc30
146c6dbc8640
153a8791a958
hex2128728530

142412514608 has 80 divisors (see below), whose sum is σ = 339986739456. Its totient is φ = 56274704640.

The previous prime is 142412514593. The next prime is 142412514617. The reversal of 142412514608 is 806415214241.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1230263 + ... + 1341033.

Almost surely, 2142412514608 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 142412514608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169993369728).

142412514608 is an abundant number, since it is smaller than the sum of its proper divisors (197574224848).

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

142412514608 is a wasteful number, since it uses less digits than its factorization.

142412514608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111682 (or 111676 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

Adding to 142412514608 its reverse (806415214241), we get a palindrome (948827728849).

The spelling of 142412514608 in words is "one hundred forty-two billion, four hundred twelve million, five hundred fourteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 883 1456 1766 3532 6181 7064 11479 12362 14128 22958 24724 45916 49448 80353 91832 98896 110771 160706 183664 221542 321412 443084 642824 775397 886168 1285648 1440023 1550794 1772336 2880046 3101588 5760092 6203176 10080161 11520184 12406352 20160322 23040368 40320644 80641288 97810793 161282576 195621586 391243172 684675551 782486344 1271540309 1369351102 1564972688 2543080618 2738702204 5086161236 5477404408 8900782163 10172322472 10954808816 17801564326 20344644944 35603128652 71206257304 142412514608