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41240120064 = 2831113375511
BaseRepresentation
bin100110011010000110…
…100100101100000000
310221110002120011102020
4212122012210230000
51133424432320224
630540114521440
72656653144123
oct463206445400
9127402504366
1041240120064
1116542a77660
127bab296280
133b72c83110
141dd31823ba
1511157e9c79
hex99a1a4b00

41240120064 has 144 divisors (see below), whose sum is σ = 128947816704. Its totient is φ = 11535667200.

The previous prime is 41240120039. The next prime is 41240120083. The reversal of 41240120064 is 46002104214.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77932 + ... + 297579.

Almost surely, 241240120064 is an apocalyptic number.

41240120064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41240120064 is an abundant number, since it is smaller than the sum of its proper divisors (87707696640).

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

41240120064 is a wasteful number, since it uses less digits than its factorization.

41240120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375554 (or 375540 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41240120064 its reverse (46002104214), we get a palindrome (87242224278).

The spelling of 41240120064 in words is "forty-one billion, two hundred forty million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 27456 36608 54912 109824 375511 751022 1126533 1502044 2253066 3004088 4130621 4506132 4881643 6008176 8261242 9012264 9763286 12016352 12391863 14644929 16522484 18024528 19526572 24032704 24783726 29289858 33044968 36049056 39053144 48065408 49567452 53698073 58579716 66089936 72098112 78106288 96130816 99134904 107396146 117159432 132179872 144196224 156212576 161094219 198269808 214792292 234318864 264359744 288392448 312425152 322188438 396539616 429584584 468637728 528719488 624850304 644376876 793079232 859169168 937275456 1057438976 1249700608 1288753752 1586158464 1718338336 1874550912 2577507504 3172316928 3436676672 3749101824 5155015008 6873353344 10310030016 13746706688 20620060032 41240120064