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4141022334201 = 341091423329603
BaseRepresentation
bin111100010000101000001…
…010100100110011111001
3112122212200222002112120000
4330100220022210303321
51020321303204143301
612450205344023213
7605115252033444
oct74205012446371
915585628075500
104141022334201
11135721a173605
1256a684001b09
1324065c4175bc
141045d865065b
1572ab6820786
hex3c4282a4cf9

4141022334201 has 40 divisors (see below), whose sum is σ = 6247129637760. Its totient is φ = 2733423664608.

The previous prime is 4141022334187. The next prime is 4141022334227. The reversal of 4141022334201 is 1024332201414.

4141022334201 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 0 + 2 + 233 + 420 + 1 = 666.

It is not a de Polignac number, because 4141022334201 - 215 = 4141022301433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4141022334901) 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 39 ways as a sum of consecutive naturals, for example, 12398866 + ... + 12728468.

It is an arithmetic number, because the mean of its divisors is an integer number (156178240944).

Almost surely, 24141022334201 is an apocalyptic number.

It is an amenable number.

4141022334201 is a deficient number, since it is larger than the sum of its proper divisors (2106107303559).

4141022334201 is a wasteful number, since it uses less digits than its factorization.

4141022334201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331147 (or 331138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4141022334201 its reverse (1024332201414), we get a palindrome (5165354535615).

The spelling of 4141022334201 in words is "four trillion, one hundred forty-one billion, twenty-two million, three hundred thirty-four thousand, two hundred one".

Divisors: 1 3 9 27 81 109 327 981 1423 2943 4269 8829 12807 38421 115263 155107 329603 465321 988809 1395963 2966427 4187889 8899281 12563667 26697843 35926727 107780181 323340543 469025069 970021629 1407075207 2910064887 4221225621 12663676863 37991030589 51123732521 153371197563 460113592689 1380340778067 4141022334201