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142205601330 = 232513137887177
BaseRepresentation
bin1000010001110000011…
…1010100011000110010
3111121001112221000222100
42010130013110120302
54312214113220310
6145154531321230
713162662444612
oct2043407243062
9447045830870
10142205601330
115534439a061
1223688450216
1310543805040
146c50526a42
153a74697ec0
hex211c1d4632

142205601330 has 96 divisors (see below), whose sum is σ = 401082527664. Its totient is φ = 34748909568.

The previous prime is 142205601323. The next prime is 142205601331. The reversal of 142205601330 is 33106502241.

142205601330 is a `hidden beast` number, since 1 + 4 + 2 + 20 + 5 + 601 + 3 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11395349001 + 130810252329 = 106749^2 + 361677^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142205601294 and 142205601303.

It is not an unprimeable number, because it can be changed into a prime (142205601331) 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, 283299 + ... + 603878.

Almost surely, 2142205601330 is an apocalyptic number.

142205601330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142205601330 is an abundant number, since it is smaller than the sum of its proper divisors (258876926334).

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

142205601330 is a wasteful number, since it uses less digits than its factorization.

142205601330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887340 (or 887337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 142205601330 in words is "one hundred forty-two billion, two hundred five million, six hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 137 195 234 274 390 411 585 685 822 1170 1233 1370 1781 2055 2466 3562 4110 5343 6165 8905 10686 12330 16029 17810 26715 32058 53430 80145 160290 887177 1774354 2661531 4435885 5323062 7984593 8871770 11533301 13307655 15969186 23066602 26615310 34599903 39922965 57666505 69199806 79845930 103799709 115333010 121543249 172999515 207599418 243086498 345999030 364629747 518998545 607716245 729259494 1037997090 1093889241 1215432490 1580062237 1823148735 2187778482 3160124474 3646297470 4740186711 5469446205 7900311185 9480373422 10938892410 14220560133 15800622370 23700933555 28441120266 47401867110 71102800665 142205601330