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142110223232 = 2717211130937
BaseRepresentation
bin1000010001011001101…
…1011110101110000000
3111120210220110022211012
42010112123132232000
54312020204120412
6145141243140052
713160423652425
oct2042633365600
9446726408735
10142110223232
11552a557508a
1223660514628
1310529b1c1b3
146c419b9d4c
153a6b107c22
hex21166deb80

142110223232 has 64 divisors (see below), whose sum is σ = 299915447040. Its totient is φ = 66841559040.

The previous prime is 142110223231. The next prime is 142110223279. The reversal of 142110223232 is 232322011241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 142110223198 and 142110223207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142110223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4578068 + ... + 4609004.

It is an arithmetic number, because the mean of its divisors is an integer number (4686178860).

Almost surely, 2142110223232 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 142110223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149957723520).

142110223232 is an abundant number, since it is smaller than the sum of its proper divisors (157805223808).

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

142110223232 is a wasteful number, since it uses less digits than its factorization.

142110223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33079 (or 33067 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 142110223232 its reverse (232322011241), we get a palindrome (374432234473).

The spelling of 142110223232 in words is "one hundred forty-two billion, one hundred ten million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2111 2176 4222 8444 16888 30937 33776 35887 61874 67552 71774 123748 135104 143548 247496 270208 287096 494992 525929 574192 989984 1051858 1148384 1979968 2103716 2296768 3959936 4207432 4593536 8414864 16829728 33659456 65308007 67318912 130616014 261232028 522464056 1044928112 1110236119 2089856224 2220472238 4179712448 4440944476 8359424896 8881888952 17763777904 35527555808 71055111616 142110223232