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41242222032 = 243111012413209
BaseRepresentation
bin100110011010001110…
…100101110111010000
310221110020111221202220
4212122032211313100
51133431002101112
630540231541040
72660010050244
oct463216456720
9127406457686
1041242222032
1116544182920
127babb2a780
133b7353aa9b
141dd356c424
151115ab298c
hex99a3a5dd0

41242222032 has 160 divisors (see below), whose sum is σ = 117902632320. Its totient is φ = 12318720000.

The previous prime is 41242222027. The next prime is 41242222033. The reversal of 41242222032 is 23022224214.

41242222032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41242221993 and 41242222011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41242222033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12850444 + ... + 12853652.

It is an arithmetic number, because the mean of its divisors is an integer number (736891452).

Almost surely, 241242222032 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 41242222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58951316160).

41242222032 is an abundant number, since it is smaller than the sum of its proper divisors (76660410288).

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

41242222032 is a wasteful number, since it uses less digits than its factorization.

41242222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41242222032 its reverse (23022224214), we get a palindrome (64264446246).

The spelling of 41242222032 in words is "forty-one billion, two hundred forty-two million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 241 264 303 404 482 528 606 723 808 964 1111 1212 1446 1616 1928 2222 2424 2651 2892 3209 3333 3856 4444 4848 5302 5784 6418 6666 7953 8888 9627 10604 11568 12836 13332 15906 17776 19254 21208 24341 25672 26664 31812 35299 38508 42416 48682 51344 53328 63624 70598 73023 77016 97364 105897 127248 141196 146046 154032 194728 211794 267751 282392 292092 324109 389456 423588 535502 564784 584184 648218 773369 803253 847176 972327 1071004 1168368 1296436 1546738 1606506 1694352 1944654 2142008 2320107 2592872 3093476 3213012 3565199 3889308 4284016 4640214 5185744 6186952 6426024 7130398 7778616 8507059 9280428 10695597 12373904 12852048 14260796 15557232 17014118 18560856 21391194 25521177 28521592 34028236 37121712 42782388 51042354 57043184 68056472 78110269 85564776 102084708 136112944 156220538 171129552 204169416 234330807 312441076 408338832 468661614 624882152 859212959 937323228 1249764304 1718425918 1874646456 2577638877 3436851836 3749292912 5155277754 6873703672 10310555508 13747407344 20621111016 41242222032