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42440432310 = 2325899754623
BaseRepresentation
bin100111100001101001…
…011001101010110110
311001112202011100021100
4213201221121222312
51143404222313220
631255153430530
73031466502543
oct474151315266
9131482140240
1042440432310
1116aa9576a51
12828526b446
134004856753
1420a8753bca
151185d97d90
hex9e1a59ab6

42440432310 has 96 divisors (see below), whose sum is σ = 112737381120. Its totient is φ = 11074719744.

The previous prime is 42440432303. The next prime is 42440432341. The reversal of 42440432310 is 1323404424.

It is a happy number.

42440432310 is a `hidden beast` number, since 4 + 24 + 404 + 3 + 231 + 0 = 666.

It is a super-4 number, since 4×424404323104 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 749659 + ... + 804281.

It is an arithmetic number, because the mean of its divisors is an integer number (1174347720).

Almost surely, 242440432310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440432310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56368690560).

42440432310 is an abundant number, since it is smaller than the sum of its proper divisors (70296948810).

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

42440432310 is a wasteful number, since it uses less digits than its factorization.

42440432310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54822 (or 54819 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42440432310 its reverse (1323404424), we get a palindrome (43763836734).

The spelling of 42440432310 in words is "forty-two billion, four hundred forty million, four hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 97 178 194 267 291 445 485 534 582 801 873 890 970 1335 1455 1602 1746 2670 2910 4005 4365 8010 8633 8730 17266 25899 43165 51798 54623 77697 86330 109246 129495 155394 163869 258990 273115 327738 388485 491607 546230 776970 819345 983214 1638690 2458035 4861447 4916070 5298431 9722894 10596862 14584341 15895293 24307235 26492155 29168682 31790586 43753023 47685879 48614470 52984310 72921705 79476465 87506046 95371758 145843410 158952930 218765115 238429395 437530230 471560359 476858790 943120718 1414681077 2357801795 2829362154 4244043231 4715603590 7073405385 8488086462 14146810770 21220216155 42440432310