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41345122224 = 2437363133889
BaseRepresentation
bin100110100000010111…
…000111111110110000
310221201102010211022010
4212200113013332300
51134133322402344
630554345242520
72662366511640
oct464027077660
9127642124263
1041345122224
11165972752aa
12801a493440
133b8b958683
1420030b6520
15111eb3b8b9
hex9a05c7fb0

41345122224 has 80 divisors (see below), whose sum is σ = 122103772160. Its totient is φ = 11809290240.

The previous prime is 41345122223. The next prime is 41345122241. The reversal of 41345122224 is 42222154314.

It is a happy number.

41345122224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2033352-1.

It is a junction number, because it is equal to n+sod(n) for n = 41345122191 and 41345122200.

It is not an unprimeable number, because it can be changed into a prime (41345122223) 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, 1203072 + ... + 1236960.

It is an arithmetic number, because the mean of its divisors is an integer number (1526297152).

Almost surely, 241345122224 is an apocalyptic number.

It is an amenable number.

41345122224 is an abundant number, since it is smaller than the sum of its proper divisors (80758649936).

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

41345122224 is a wasteful number, since it uses less digits than its factorization.

41345122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37538 (or 37532 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 41345122224 its reverse (42222154314), we get a palindrome (83567276538).

The spelling of 41345122224 in words is "forty-one billion, three hundred forty-five million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3631 7262 10893 14524 21786 25417 29048 33889 43572 50834 58096 67778 76251 87144 101667 101668 135556 152502 174288 203334 203336 237223 271112 305004 406668 406672 474446 542224 610008 711669 813336 948892 1220016 1423338 1626672 1897784 2846676 3795568 5693352 11386704 123050959 246101918 369152877 492203836 738305754 861356713 984407672 1476611508 1722713426 1968815344 2584070139 2953223016 3445426852 5168140278 5906446032 6890853704 10336280556 13781707408 20672561112 41345122224