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142101023204140 = 22571113471207112511
BaseRepresentation
bin100000010011110101111001…
…000000101010001100101100
3200122010201120122001220000121
4200103311321000222030230
5122111140343420013030
61222120150413534324
741634313552616110
oct4023657100521454
9618121518056017
10142101023204140
114130678403a590
1213b301691a43a4
13613a0b8757330
142713a24a69740
15116659146a47a
hex813d7902a32c

142101023204140 has 384 divisors, whose sum is σ = 409256663187456. Its totient is φ = 40007820672000.

The previous prime is 142101023204117. The next prime is 142101023204141. The reversal of 142101023204140 is 41402320101241.

It is a super-2 number, since 2×1421010232041402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142101023204141) 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, 11358080485 + ... + 11358092995.

It is an arithmetic number, because the mean of its divisors is an integer number (1065772560384).

Almost surely, 2142101023204140 is an apocalyptic number.

142101023204140 is a gapful number since it is divisible by the number (10) 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 142101023204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204628331593728).

142101023204140 is an abundant number, since it is smaller than the sum of its proper divisors (267155639983316).

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

142101023204140 is a wasteful number, since it uses less digits than its factorization.

142101023204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24669 (or 24667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 142101023204140 its reverse (41402320101241), we get a palindrome (183503343305381).

The spelling of 142101023204140 in words is "one hundred forty-two trillion, one hundred one billion, twenty-three million, two hundred four thousand, one hundred forty".