Search a number
-
+
213143342004 = 2234907725303
BaseRepresentation
bin1100011010000001010…
…1010100101110110100
3202101011022210122020000
43012200111110232310
511443004143421004
6241530001311300
721253614341235
oct3064025245664
9671138718200
10213143342004
118243695061a
1235385335530
131713a2cb418
14a45d8c108c
15582728cc39
hex31a0554bb4

213143342004 has 60 divisors (see below), whose sum is σ = 557813899104. Its totient is φ = 70969350096.

The previous prime is 213143341997. The next prime is 213143342017. The reversal of 213143342004 is 400243341312.

213143342004 is a `hidden beast` number, since 2 + 1 + 314 + 3 + 342 + 0 + 0 + 4 = 666.

It is a super-4 number, since 4×2131433420044 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68784 + ... + 656519.

Almost surely, 2213143342004 is an apocalyptic number.

It is an amenable number.

213143342004 is an abundant number, since it is smaller than the sum of its proper divisors (344670557100).

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

213143342004 is a wasteful number, since it uses less digits than its factorization.

213143342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726226 (or 726215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213143342004 its reverse (400243341312), we get a palindrome (613386683316).

The spelling of 213143342004 in words is "two hundred thirteen billion, one hundred forty-three million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 907 1814 2721 3628 5442 8163 10884 16326 24489 32652 48978 73467 97956 146934 293868 725303 1450606 2175909 2901212 4351818 6527727 8703636 13055454 19583181 26110908 39166362 58749543 78332724 117499086 234998172 657849821 1315699642 1973549463 2631399284 3947098926 5920648389 7894197852 11841296778 17761945167 23682593556 35523890334 53285835501 71047780668 106571671002 213143342004