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41542334404101 = 32174911026753861
BaseRepresentation
bin10010111001000010101000…
…00101011101011000000101
312110002102000201012200221200
421130201110011131120011
520421112200101412401
6224204141315133113
711515222526134656
oct1134412405353005
9173072021180850
1041542334404101
1112267006845893
1247ab2238a4199
131a2456b59320b
14a3893437952d
154c09289b8686
hex25c85415d605

41542334404101 has 48 divisors (see below), whose sum is σ = 63672117882048. Its totient is φ = 26009674790400.

The previous prime is 41542334404069. The next prime is 41542334404121. The reversal of 41542334404101 is 10140443324514.

It is a happy number.

41542334404101 is a `hidden beast` number, since 4 + 1 + 5 + 4 + 233 + 4 + 4 + 0 + 410 + 1 = 666.

It is not a de Polignac number, because 41542334404101 - 25 = 41542334404069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41542334404121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771260911 + ... + 771314771.

It is an arithmetic number, because the mean of its divisors is an integer number (1326502455876).

Almost surely, 241542334404101 is an apocalyptic number.

It is an amenable number.

41542334404101 is a deficient number, since it is larger than the sum of its proper divisors (22129783477947).

41542334404101 is a wasteful number, since it uses less digits than its factorization.

41542334404101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64642 (or 64639 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 41542334404101 its reverse (10140443324514), we get a palindrome (51682777728615).

The spelling of 41542334404101 in words is "forty-one trillion, five hundred forty-two billion, three hundred thirty-four million, four hundred four thousand, one hundred one".

Divisors: 1 3 9 17 51 153 491 1473 4419 8347 10267 25041 30801 53861 75123 92403 161583 174539 484749 523617 915637 1570851 2746911 5041097 8240733 15123291 26445751 45369873 79337253 85698649 238011759 257095947 449577767 552990887 771287841 1348733301 1658972661 4046199903 4976917983 9400845079 28202535237 84607605711 271518525517 814555576551 2443666729653 4615814933789 13847444801367 41542334404101