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142105682136 = 233113457155707
BaseRepresentation
bin1000010001011000101…
…0001010000011011000
3111120210120220121121110
42010112022022003120
54312013023312021
6145141001540320
713160340240165
oct2042612120330
9446716817543
10142105682136
11552a2a53310
122365aaa46a0
1310528bbc262
146c4115706c
153a6aa0c476
hex211628a0d8

142105682136 has 64 divisors (see below), whose sum is σ = 387675550080. Its totient is φ = 43049594880.

The previous prime is 142105682129. The next prime is 142105682171. The reversal of 142105682136 is 631286501241.

It is a junction number, because it is equal to n+sod(n) for n = 142105682094 and 142105682103.

It is a congruent number.

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, 834795 + ... + 990501.

It is an arithmetic number, because the mean of its divisors is an integer number (6057430470).

Almost surely, 2142105682136 is an apocalyptic number.

It is an amenable number.

142105682136 is an abundant number, since it is smaller than the sum of its proper divisors (245569867944).

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

142105682136 is a wasteful number, since it uses less digits than its factorization.

142105682136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159184 (or 159180 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 142105682136 in words is "one hundred forty-two billion, one hundred five million, six hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3457 6914 10371 13828 20742 27656 38027 41484 76054 82968 114081 152108 155707 228162 304216 311414 456324 467121 622828 912648 934242 1245656 1712777 1868484 3425554 3736968 5138331 6851108 10276662 13702216 20553324 41106648 538279099 1076558198 1614837297 2153116396 3229674594 4306232792 5921070089 6459349188 11842140178 12918698376 17763210267 23684280356 35526420534 47368560712 71052841068 142105682136