Search a number
-
+
210214104400332 = 223247424129294981
BaseRepresentation
bin101111110011000001001001…
…000001010000000111001100
31000120022021100101001202210200
4233303001021001100013030
5210023121441211302312
62023031005410533500
762164316321234604
oct5763011101200714
91016267311052720
10210214104400332
1160a8733473326a
121b6b0a9a297290
13903b149869a86
1439ca5ba125c04
15194824080d0dc
hexbf30490501cc

210214104400332 has 72 divisors (see below), whose sum is σ = 542808361996992. Its totient is φ = 68564314790400.

The previous prime is 210214104400331. The next prime is 210214104400373. The reversal of 210214104400332 is 233004401412012.

210214104400332 is a `hidden beast` number, since 2 + 1 + 0 + 214 + 1 + 0 + 440 + 0 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 210214104400296 and 210214104400305.

It is not an unprimeable number, because it can be changed into a prime (210214104400331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7471719 + ... + 21823262.

It is an arithmetic number, because the mean of its divisors is an integer number (7539005027736).

Almost surely, 2210214104400332 is an apocalyptic number.

It is an amenable number.

210214104400332 is an abundant number, since it is smaller than the sum of its proper divisors (332594257596660).

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

210214104400332 is a wasteful number, since it uses less digits than its factorization.

210214104400332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29299279 (or 29299274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210214104400332 its reverse (233004401412012), we get a palindrome (443218505812344).

The spelling of 210214104400332 in words is "two hundred ten trillion, two hundred fourteen billion, one hundred four million, four hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 4241 8482 12723 16964 25446 38169 50892 76338 152676 199327 398654 597981 797308 1195962 1793943 2391924 3587886 7175772 29294981 58589962 87884943 117179924 175769886 263654829 351539772 527309658 1054619316 1376864107 2753728214 4130592321 5507456428 8261184642 12391776963 16522369284 24783553926 49567107852 124240014421 248480028842 372720043263 496960057684 745440086526 1118160129789 1490880173052 2236320259578 4472640519156 5839280677787 11678561355574 17517842033361 23357122711148 35035684066722 52553526100083 70071368133444 105107052200166 210214104400332