Search a number
-
+
42243102320 = 2453183205223
BaseRepresentation
bin100111010101111000…
…101001011001110000
311001000222211221102012
4213111320221121300
51143003213233240
631223424142052
73023552305466
oct472570513160
9131028757365
1042243102320
1116a08148011
12822b167928
133ca29c5843
14208a468836
1511738b9b65
hex9d5e29670

42243102320 has 80 divisors (see below), whose sum is σ = 102605432832. Its totient is φ = 16155075840.

The previous prime is 42243102277. The next prime is 42243102323. The reversal of 42243102320 is 2320134224.

42243102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243102323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103229 + ... + 308451.

Almost surely, 242243102320 is an apocalyptic number.

42243102320 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 42243102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51302716416).

42243102320 is an abundant number, since it is smaller than the sum of its proper divisors (60362330512).

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

42243102320 is a wasteful number, since it uses less digits than its factorization.

42243102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205350 (or 205344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42243102320 its reverse (2320134224), we get a palindrome (44563236544).

The spelling of 42243102320 in words is "forty-two billion, two hundred forty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 83 124 155 166 248 310 332 415 496 620 664 830 1240 1328 1660 2480 2573 3320 5146 6640 10292 12865 20584 25730 41168 51460 102920 205223 205840 410446 820892 1026115 1641784 2052230 3283568 4104460 6361913 8208920 12723826 16417840 17033509 25447652 31809565 34067018 50895304 63619130 68134036 85167545 101790608 127238260 136268072 170335090 254476520 272536144 340670180 508953040 528038779 681340360 1056077558 1362680720 2112155116 2640193895 4224310232 5280387790 8448620464 10560775580 21121551160 42243102320