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41182381153146 = 2331239926404399
BaseRepresentation
bin10010101110100100001010…
…01100110001101101111010
312101210222220221122222002110
421113102011030301231322
520344213004033400041
6223330531423513150
711450220540032232
oct1127220514615572
9171728827588073
1041182381153146
11121383935a1802
1247515081587b6
1319c96358c4bac
14a25348a72cc2
154b63acc3d516
hex257485331b7a

41182381153146 has 32 divisors (see below), whose sum is σ = 85377429504000. Its totient is φ = 13229054803440.

The previous prime is 41182381153099. The next prime is 41182381153189. The reversal of 41182381153146 is 64135118328114.

41182381153146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41182381153095 and 41182381153104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463157746 + ... + 463246653.

It is an arithmetic number, because the mean of its divisors is an integer number (2668044672000).

Almost surely, 241182381153146 is an apocalyptic number.

41182381153146 is an abundant number, since it is smaller than the sum of its proper divisors (44195048350854).

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

41182381153146 is a wasteful number, since it uses less digits than its factorization.

41182381153146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926404674.

The product of its digits is 552960, while the sum is 48.

The spelling of 41182381153146 in words is "forty-one trillion, one hundred eighty-two billion, three hundred eighty-one million, one hundred fifty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 31 62 93 186 239 478 717 1434 7409 14818 22227 44454 926404399 1852808798 2779213197 5558426394 28718536369 57437072738 86155609107 172311218214 221410651361 442821302722 664231954083 1328463908166 6863730192191 13727460384382 20591190576573 41182381153146