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41145643302224 = 2441521371932371
BaseRepresentation
bin10010101101011111101110…
…11100111111110101010000
312101200111002121220202212012
421112233313130333311100
520343112234141132344
6223302014140122052
711444450253326156
oct1126576734776520
9171614077822765
1041145643302224
1112123850a8563a
124746374836328
1319c602c631376
14a2366182b3d6
154b545c82e29e
hex256bf773fd50

41145643302224 has 80 divisors (see below), whose sum is σ = 81845340312960. Its totient is φ = 20026516224000.

The previous prime is 41145643302187. The next prime is 41145643302229. The reversal of 41145643302224 is 42220334654114.

It is a super-2 number, since 2×411456433022242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145643302229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271048759 + ... + 1271081129.

It is an arithmetic number, because the mean of its divisors is an integer number (1023066753912).

Almost surely, 241145643302224 is an apocalyptic number.

It is an amenable number.

41145643302224 is a deficient number, since it is larger than the sum of its proper divisors (40699697010736).

41145643302224 is a wasteful number, since it uses less digits than its factorization.

41145643302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36660 (or 36654 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

Adding to 41145643302224 its reverse (42220334654114), we get a palindrome (83365977956338).

The spelling of 41145643302224 in words is "forty-one trillion, one hundred forty-five billion, six hundred forty-three million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 41 82 164 328 521 656 1042 2084 3719 4168 7438 8336 14876 21361 29752 32371 42722 59504 64742 85444 129484 152479 170888 258968 304958 341776 517936 609916 1219832 1327211 1937599 2439664 2654422 3875198 5308844 7750396 10617688 15500792 16865291 21235376 31001584 33730582 67461164 79441559 120387749 134922328 158883118 240775498 269844656 317766236 481550996 635532472 691476931 963101992 1271064944 1382953862 1926203984 2765907724 4935897709 5531815448 9871795418 11063630896 19743590836 39487181672 62722017229 78974363344 125444034458 250888068916 501776137832 1003552275664 2571602706389 5143205412778 10286410825556 20572821651112 41145643302224