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142411671045 = 33571019671543
BaseRepresentation
bin1000010010100001100…
…1011010011000000101
3111121120220200110111000
42010220121122120011
54313124341433140
6145231212203513
713201044142140
oct2045031323005
9447526613430
10142411671045
115543a748306
1223725469599
1310577405c97
146c6da49057
153a87800a30
hex212865a605

142411671045 has 128 divisors (see below), whose sum is σ = 292700897280. Its totient is φ = 64349510400.

The previous prime is 142411671041. The next prime is 142411671047. The reversal of 142411671045 is 540176114241.

142411671045 is a `hidden beast` number, since 142 + 411 + 67 + 1 + 0 + 45 = 666.

It is not a de Polignac number, because 142411671045 - 22 = 142411671041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142411671041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92294544 + ... + 92296086.

It is an arithmetic number, because the mean of its divisors is an integer number (2286725760).

Almost surely, 2142411671045 is an apocalyptic number.

142411671045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142411671045 is an abundant number, since it is smaller than the sum of its proper divisors (150289226235).

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

142411671045 is a wasteful number, since it uses less digits than its factorization.

142411671045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 142411671045 its reverse (540176114241), we get a palindrome (682587785286).

The spelling of 142411671045 in words is "one hundred forty-two billion, four hundred eleven million, six hundred seventy-one thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 101 105 135 189 303 315 505 707 909 945 967 1515 1543 2121 2727 2901 3535 4545 4629 4835 6363 6769 7715 8703 10605 10801 13635 13887 14505 19089 20307 23145 26109 31815 32403 33845 41661 43515 54005 60921 69435 95445 97209 97667 101535 130545 155843 162015 182763 208305 291627 293001 304605 467529 486045 488335 683669 779215 879003 913815 1090901 1402587 1458135 1465005 1492081 2051007 2337645 2637009 3272703 3418345 4207761 4395015 4476243 5454505 6153021 7012935 7460405 9818109 10255035 10444567 13185045 13428729 16363515 18459063 21038805 22381215 29454327 30765105 31333701 40286187 49090545 52222835 67143645 92295315 94001103 147271635 150700181 156668505 201430935 282003309 452100543 470005515 753500905 1054901267 1356301629 1410016545 2260502715 3164703801 4068904887 5274506335 6781508145 9494111403 15823519005 20344524435 28482334209 47470557015 142411671045