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142112444301 = 3437191409607
BaseRepresentation
bin1000010001011010001…
…1111100111110001101
3111120211001122011120000
42010112203330332031
54312021241204201
6145141402514513
713160451563022
oct2042643747615
9446731564500
10142112444301
11552a6851883
1223661205a39
131052a419139
146c41dd7549
153a6b3e5d86
hex21168fcf8d

142112444301 has 80 divisors (see below), whose sum is σ = 220068372480. Its totient is φ = 91323521280.

The previous prime is 142112444281. The next prime is 142112444311. The reversal of 142112444301 is 103444211241.

142112444301 is a `hidden beast` number, since 1 + 4 + 211 + 2 + 4 + 443 + 0 + 1 = 666.

It is not a de Polignac number, because 142112444301 - 223 = 142104055693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142112444311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234122340 + ... + 234122946.

It is an arithmetic number, because the mean of its divisors is an integer number (2750854656).

Almost surely, 2142112444301 is an apocalyptic number.

It is an amenable number.

142112444301 is a deficient number, since it is larger than the sum of its proper divisors (77955928179).

142112444301 is a wasteful number, since it uses less digits than its factorization.

142112444301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142112444301 its reverse (103444211241), we get a palindrome (245556655542).

The spelling of 142112444301 in words is "one hundred forty-two billion, one hundred twelve million, four hundred forty-four thousand, three hundred one".

Divisors: 1 3 9 27 37 81 111 191 333 409 573 607 999 1227 1719 1821 2997 3681 5157 5463 7067 11043 15133 15471 16389 21201 22459 33129 45399 49167 63603 67377 78119 115937 136197 190809 202131 234357 248263 347811 408591 572427 606393 703071 744789 1043433 1225773 1819179 2109213 2234367 2890403 3130299 4289669 6327639 6703101 8671209 9185731 9390897 12869007 20109303 26013627 27557193 38607021 47418233 78040881 82671579 115821063 142254699 234122643 248014737 347463189 426764097 744044211 1280292291 1754474621 3840876873 5263423863 15790271589 47370814767 142112444301