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4042122041041 = 723269166955921
BaseRepresentation
bin111010110100100001001…
…111111001011011010001
3112022102102102202002111021
4322310201033321123101
51012211231220303131
612332531503315441
7565014360310360
oct72644117713321
915272372662437
104042122041041
111319288572537
125534825abb81
1323422a6b5286
14dd8d56937d7
1570228e0ee11
hex3ad213f96d1

4042122041041 has 32 divisors (see below), whose sum is σ = 4841324121600. Its totient is φ = 3299680834560.

The previous prime is 4042122040963. The next prime is 4042122041047. The reversal of 4042122041041 is 1401402212404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4042122041041 - 215 = 4042122008273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4042122040997 and 4042122041015.

It is not an unprimeable number, because it can be changed into a prime (4042122041047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72254761 + ... + 72310681.

It is an arithmetic number, because the mean of its divisors is an integer number (151291378800).

Almost surely, 24042122041041 is an apocalyptic number.

It is an amenable number.

4042122041041 is a deficient number, since it is larger than the sum of its proper divisors (799202080559).

4042122041041 is a wasteful number, since it uses less digits than its factorization.

4042122041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57889.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4042122041041 its reverse (1401402212404), we get a palindrome (5443524253445).

The spelling of 4042122041041 in words is "four trillion, forty-two billion, one hundred twenty-two million, forty-one thousand, forty-one".

Divisors: 1 7 23 161 269 1669 1883 6187 11683 38387 43309 55921 268709 391447 448961 1286183 3142727 9003281 10326103 15042749 72282721 93332149 105299243 345983227 653325043 2146639427 2421882589 15026475989 25106348081 175744436567 577446005863 4042122041041