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213232434444 = 223341121739569
BaseRepresentation
bin1100011010010110100…
…1001011110100001100
3202101101112110000002000
43012211221023310030
511443200000400234
6241542503032300
721256045534041
oct3064551136414
9671345400060
10213232434444
1182482172037
12353ab13b690
13171528c3243
14a46b6731c8
15582eeda899
hex31a5a4bd0c

213232434444 has 96 divisors (see below), whose sum is σ = 566788017600. Its totient is φ = 69285150720.

The previous prime is 213232434439. The next prime is 213232434451. The reversal of 213232434444 is 444434232312.

213232434444 is a `hidden beast` number, since 213 + 2 + 3 + 2 + 434 + 4 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213232434399 and 213232434408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5369092 + ... + 5408660.

It is an arithmetic number, because the mean of its divisors is an integer number (5904041850).

Almost surely, 2213232434444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213232434444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283394008800).

213232434444 is an abundant number, since it is smaller than the sum of its proper divisors (353555583156).

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

213232434444 is a wasteful number, since it uses less digits than its factorization.

213232434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40840 (or 40832 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 213232434444 its reverse (444434232312), we get a palindrome (657666666756).

The spelling of 213232434444 in words is "two hundred thirteen billion, two hundred thirty-two million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1217 1476 2214 2434 3651 4428 4868 7302 10953 14604 21906 32859 39569 43812 49897 65718 79138 99794 118707 131436 149691 158276 199588 237414 299382 356121 449073 474828 598764 712242 898146 1068363 1347219 1424484 1622329 1796292 2136726 2694438 3244658 4273452 4866987 5388876 6489316 9733974 14600961 19467948 29201922 43802883 48155473 58403844 87605766 96310946 144466419 175211532 192621892 288932838 433399257 577865676 866798514 1300197771 1733597028 1974374393 2600395542 3948748786 5200791084 5923123179 7897497572 11846246358 17769369537 23692492716 35538739074 53308108611 71077478148 106616217222 213232434444