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3140422221041 = 72231392144223
BaseRepresentation
bin101101101100101111110…
…000000011110011110001
3102010012222102110012120122
4231230233300003303301
5402423041042033131
610402405015020025
7442613406304400
oct55545760036361
912105872405518
103140422221041
111000933522826
1242877506a615
1319a1a9a13821
14abdd6631637
1556a52567d7b
hex2db2fc03cf1

3140422221041 has 36 divisors (see below), whose sum is σ = 3839624785152. Its totient is φ = 2556214957296.

The previous prime is 3140422221029. The next prime is 3140422221043. The reversal of 3140422221041 is 1401222240413.

It is a de Polignac number, because none of the positive numbers 2k-3140422221041 is a prime.

It is a super-3 number, since 3×31404222210413 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3140422221041.

It is not an unprimeable number, because it can be changed into a prime (3140422221043) 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 35 ways as a sum of consecutive naturals, for example, 21702656 + ... + 21846878.

It is an arithmetic number, because the mean of its divisors is an integer number (106656244032).

Almost surely, 23140422221041 is an apocalyptic number.

It is an amenable number.

3140422221041 is a deficient number, since it is larger than the sum of its proper divisors (699202564111).

3140422221041 is a wasteful number, since it uses less digits than its factorization.

3140422221041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144538 (or 144392 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 3140422221041 its reverse (1401222240413), we get a palindrome (4541644461454).

The spelling of 3140422221041 in words is "three trillion, one hundred forty billion, four hundred twenty-two million, two hundred twenty-one thousand, forty-one".

Divisors: 1 7 23 49 139 161 973 1127 3197 6811 19321 22379 135247 144223 156653 444383 946729 1009561 3110681 3317129 7066927 20046997 21774767 23219903 140328979 162539321 461080931 982302853 2786532583 3227566517 19505728081 22592965619 64090249409 136540096567 448631745863 3140422221041