Search a number
-
+
213242320214424 = 233217214015342859
BaseRepresentation
bin110000011111000101011000…
…101111110101100110011000
31000222000202200221100220200100
4300133011120233311212120
5210422230232433330144
62033310100341135400
762626151325036444
oct6037053057654630
91028022627326610
10213242320214424
1161a446185aa766
121babb9596ba560
1391ca883c1aa57
143a92daa509824
15199bdc71e8269
hexc1f158bf5998

213242320214424 has 96 divisors (see below), whose sum is σ = 577894737747600. Its totient is φ = 71036044692480.

The previous prime is 213242320214419. The next prime is 213242320214449. The reversal of 213242320214424 is 424412023242312.

213242320214424 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 2 + 3 + 202 + 1 + 442 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4975417107 + ... + 4975459965.

Almost surely, 2213242320214424 is an apocalyptic number.

213242320214424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213242320214424 is an abundant number, since it is smaller than the sum of its proper divisors (364652417533176).

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

213242320214424 is a wasteful number, since it uses less digits than its factorization.

213242320214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84745 (or 84738 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 213242320214424 its reverse (424412023242312), we get a palindrome (637654343456736).

The spelling of 213242320214424 in words is "two hundred thirteen trillion, two hundred forty-two billion, three hundred twenty million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1721 3442 5163 6884 10326 13768 15489 20652 30978 40153 41304 42859 61956 80306 85718 120459 123912 128577 160612 171436 240918 257154 321224 342872 361377 385731 481836 514308 722754 771462 963672 1028616 1445508 1542924 2891016 3085848 69103313 73760339 138206626 147520678 207309939 221281017 276413252 295041356 414619878 442562034 552826504 590082712 621929817 663843051 829239756 885124068 1243859634 1327686102 1658479512 1720917427 1770248136 2487719268 2655372204 3441834854 4975438536 5162752281 5310744408 6883669708 10325504562 13767339416 15488256843 20651009124 30976513686 41302018248 61953027372 123906054744 2961698891867 5923397783734 8885096675601 11846795567468 17770193351202 23693591134936 26655290026803 35540386702404 53310580053606 71080773404808 106621160107212 213242320214424