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42231443320 = 23511374016469
BaseRepresentation
bin100111010101001100…
…001010111101111000
311001000011220121021101
4213111030022331320
51142442222141240
631222330221144
73023351226313
oct472514127570
9131004817241
1042231443320
1116a01604480
1282272847b4
133ca0472b21
142088ab197a
15117286539a
hex9d530af78

42231443320 has 128 divisors (see below), whose sum is σ = 106742577600. Its totient is φ = 14902272000.

The previous prime is 42231443291. The next prime is 42231443321. The reversal of 42231443320 is 2334413224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231443321) 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 31 ways as a sum of consecutive naturals, for example, 6525046 + ... + 6531514.

Almost surely, 242231443320 is an apocalyptic number.

42231443320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371288800).

42231443320 is an abundant number, since it is smaller than the sum of its proper divisors (64511134280).

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

42231443320 is a wasteful number, since it uses less digits than its factorization.

42231443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42231443320 its reverse (2334413224), we get a palindrome (44565856544).

It can be divided in two parts, 422314433 and 20, that added together give a triangular number (422314453 = T29062).

The spelling of 42231443320 in words is "forty-two billion, two hundred thirty-one million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 401 407 440 740 802 814 1480 1604 1628 2005 2035 3208 3256 4010 4070 4411 6469 8020 8140 8822 12938 14837 16040 16280 17644 22055 25876 29674 32345 35288 44110 51752 59348 64690 71159 74185 88220 118696 129380 142318 148370 163207 176440 239353 258760 284636 296740 326414 355795 478706 569272 593480 652828 711590 816035 957412 1196765 1305656 1423180 1632070 1914824 2393530 2594069 2632883 2846360 3264140 4787060 5188138 5265766 6528280 9574120 10376276 10531532 12970345 13164415 20752552 21063064 25940690 26328830 28534759 51881380 52657660 57069518 95980553 103762760 105315320 114139036 142673795 191961106 228278072 285347590 383922212 479902765 570695180 767844424 959805530 1055786083 1141390360 1919611060 2111572166 3839222120 4223144332 5278930415 8446288664 10557860830 21115721660 42231443320