Search a number
-
+
142240218764 = 227171374095333
BaseRepresentation
bin1000010001111000101…
…1010111111010001100
3111121010222001210011112
42010132023113322030
54312301444000024
6145202205311152
713163562624230
oct2043613277214
9447128053145
10142240218764
1155361993706
1223697b654b8
131054aa35927
146c54d785c0
153a7773500e
hex211e2d7e8c

142240218764 has 96 divisors (see below), whose sum is σ = 304212101760. Its totient is φ = 56805507072.

The previous prime is 142240218763. The next prime is 142240218787. The reversal of 142240218764 is 467812042241.

142240218764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1422402187643 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142240218763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26669042 + ... + 26674374.

It is an arithmetic number, because the mean of its divisors is an integer number (3168876060).

Almost surely, 2142240218764 is an apocalyptic number.

142240218764 is a gapful number since it is divisible by the number (14) 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 142240218764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152106050880).

142240218764 is an abundant number, since it is smaller than the sum of its proper divisors (161971882996).

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

142240218764 is a wasteful number, since it uses less digits than its factorization.

142240218764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 142240218764 in words is "one hundred forty-two billion, two hundred forty million, two hundred eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 137 238 274 409 476 548 818 959 1636 1918 2329 2863 3836 4658 5333 5726 6953 9316 10666 11452 13906 16303 21332 27812 32606 37331 48671 56033 65212 74662 90661 97342 112066 149324 181322 194684 224132 362644 392231 634627 730621 784462 952561 1269254 1461242 1568924 1905122 2181197 2538508 2922484 3810244 4362394 5114347 6667927 8724788 10228694 12420557 13335854 15268379 20457388 24841114 26671708 30536758 37080349 49682228 61073516 74160698 86943899 148321396 173887798 259562443 298823989 347775596 519124886 597647978 1038249772 1195295956 2091767923 4183535846 5080007813 8367071692 10160015626 20320031252 35560054691 71120109382 142240218764