Search a number
-
+
142565422302 = 2344143149801
BaseRepresentation
bin1000010011000110001…
…1111011010011011110
3111121222121222211120000
42010301203323103132
54313433222003202
6145254343435130
713204622044422
oct2046143732336
9447877884500
10142565422302
1155509511966
1223768a55aa6
13105a0219464
146c8622cb82
153a9607191c
hex21318fb4de

142565422302 has 80 divisors (see below), whose sum is σ = 328009518144. Its totient is φ = 46254240000.

The previous prime is 142565422297. The next prime is 142565422309. The reversal of 142565422302 is 203224565241.

142565422302 is a `hidden beast` number, since 1 + 42 + 56 + 542 + 23 + 0 + 2 = 666.

It is a super-2 number, since 2×1425654223022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142565422309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2837802 + ... + 2887602.

Almost surely, 2142565422302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142565422302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164004759072).

142565422302 is an abundant number, since it is smaller than the sum of its proper divisors (185444095842).

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

142565422302 is a wasteful number, since it uses less digits than its factorization.

142565422302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50287 (or 50278 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 142565422302 its reverse (203224565241), we get a palindrome (345789987543).

The spelling of 142565422302 in words is "one hundred forty-two billion, five hundred sixty-five million, four hundred twenty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 431 738 862 1107 1293 2214 2586 3321 3879 6642 7758 11637 17671 23274 34911 35342 49801 53013 69822 99602 106026 149403 159039 298806 318078 448209 477117 896418 954234 1344627 1431351 2041841 2689254 2862702 4033881 4083682 6125523 8067762 12251046 18376569 21464231 36753138 42928462 55129707 64392693 110259414 128785386 165389121 193178079 330778242 386356158 579534237 880033471 1159068474 1738602711 1760066942 2640100413 3477205422 5280200826 7920301239 15840602478 23760903717 47521807434 71282711151 142565422302