Search a number
-
+
142304707566 = 232741107257443
BaseRepresentation
bin1000010010001000000…
…1011000001111101110
3111121022110102011011200
42010202001120033232
54312420001120231
6145212431430330
713165305025230
oct2044201301756
9447273364150
10142304707566
115539533003a
12236b56853a6
131055b1c4a98
146c5d764250
153a7d222be6
hex21220583ee

142304707566 has 96 divisors (see below), whose sum is σ = 364342987008. Its totient is φ = 39295946880.

The previous prime is 142304707561. The next prime is 142304707579. The reversal of 142304707566 is 665707403241.

142304707566 is a `hidden beast` number, since 1 + 42 + 3 + 0 + 47 + 0 + 7 + 566 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142304707561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424041 + ... + 681483.

It is an arithmetic number, because the mean of its divisors is an integer number (3795239448).

Almost surely, 2142304707566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142304707566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182171493504).

142304707566 is an abundant number, since it is smaller than the sum of its proper divisors (222038279442).

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

142304707566 is a wasteful number, since it uses less digits than its factorization.

142304707566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257606 (or 257603 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 142304707566 in words is "one hundred forty-two billion, three hundred four million, seven hundred seven thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 107 123 126 214 246 287 321 369 574 642 738 749 861 963 1498 1722 1926 2247 2583 4387 4494 5166 6741 8774 13161 13482 26322 30709 39483 61418 78966 92127 184254 257443 276381 514886 552762 772329 1544658 1802101 2316987 3604202 4633974 5406303 10555163 10812606 16218909 21110326 27546401 31665489 32437818 55092802 63330978 73886141 82639203 94996467 147772282 165278406 189992934 192824807 221658423 247917609 385649614 443316846 495835218 578474421 664975269 1129402441 1156948842 1329950538 1735423263 2258804882 3388207323 3470846526 6776414646 7905817087 10164621969 15811634174 20329243938 23717451261 47434902522 71152353783 142304707566