Search a number
-
+
142411576208 = 24117128573989
BaseRepresentation
bin1000010010100001100…
…1000011001110010000
3111121120220111122101112
42010220121003032100
54313124330414313
6145231210152452
713201043265506
oct2045031031620
9447526448345
10142411576208
115543a693030
1223725422728
13105773a1a75
146c6da22676
153a877d28a8
hex2128643390

142411576208 has 80 divisors (see below), whose sum is σ = 305429201280. Its totient is φ = 63782476800.

The previous prime is 142411576201. The next prime is 142411576253. The reversal of 142411576208 is 802675114241.

It is not an unprimeable number, because it can be changed into a prime (142411576201) by changing a digit.

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, 35699078 + ... + 35703066.

It is an arithmetic number, because the mean of its divisors is an integer number (3817865016).

Almost surely, 2142411576208 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 142411576208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152714600640).

142411576208 is an abundant number, since it is smaller than the sum of its proper divisors (163017625072).

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

142411576208 is a wasteful number, since it uses less digits than its factorization.

142411576208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 142411576208 in words is "one hundred forty-two billion, four hundred eleven million, five hundred seventy-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 2857 3124 3989 5714 6248 7978 11428 12496 15956 22856 31427 31912 43879 45712 62854 63824 87758 125708 175516 202847 251416 283219 351032 405694 502832 566438 702064 811388 1132876 1622776 2231317 2265752 3115409 3245552 4462634 4531504 6230818 8925268 11396573 12461636 17850536 22793146 24923272 35701072 45586292 49846544 91172584 125362303 182345168 250724606 501449212 809156683 1002898424 1618313366 2005796848 3236626732 6473253464 8900723513 12946506928 17801447026 35602894052 71205788104 142411576208