Search a number
-
+
44229232404 = 223272160115661
BaseRepresentation
bin101001001100010001…
…001000011100010100
311020011102002210200200
4221030101020130110
51211040140414104
632152453540500
73124020162300
oct511421103424
9136142083620
1044229232404
1117837280a35
1286a4344730
13422b324a46
1421d8152d00
15123ce3cb39
hexa4c448714

44229232404 has 108 divisors (see below), whose sum is σ = 130144547988. Its totient is φ = 12628224000.

The previous prime is 44229232343. The next prime is 44229232409. The reversal of 44229232404 is 40423292244.

44229232404 is a `hidden beast` number, since 4 + 4 + 229 + 23 + 2 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43994223504 + 235008900 = 209748^2 + 15330^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44229232409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2816334 + ... + 2831994.

It is an arithmetic number, because the mean of its divisors is an integer number (1205042111).

Almost surely, 244229232404 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 44229232404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65072273994).

44229232404 is an abundant number, since it is smaller than the sum of its proper divisors (85915315584).

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

44229232404 is a wasteful number, since it uses less digits than its factorization.

44229232404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 44229232404 in words is "forty-four billion, two hundred twenty-nine million, two hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1601 1764 3202 4803 6404 9606 11207 14409 15661 19212 22414 28818 31322 33621 44828 46983 57636 62644 67242 78449 93966 100863 109627 134484 140949 156898 187932 201726 219254 235347 281898 313796 328881 403452 438508 470694 563796 657762 706041 767389 941388 986643 1315524 1412082 1534778 1973286 2302167 2824164 3069556 3946572 4604334 6906501 9208668 13813002 25073261 27626004 50146522 75219783 100293044 150439566 175512827 225659349 300879132 351025654 451318698 526538481 702051308 902637396 1053076962 1228589789 1579615443 2106153924 2457179578 3159230886 3685769367 4914359156 6318461772 7371538734 11057308101 14743077468 22114616202 44229232404