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2422142120244 = 22371120831258457
BaseRepresentation
bin100011001111110010111…
…010111011000100110100
322120112222020201110202110
4203033302322323010310
5304141021340321434
65052414451411020
7336664640215350
oct43176272730464
98515866643673
102422142120244
11854252099910
123315165b3a70
1314753a2c4ac2
148533762a460
15430137294e9
hex233f2ebb134

2422142120244 has 96 divisors (see below), whose sum is σ = 7049619956736. Its totient is φ = 628825294080.

The previous prime is 2422142120201. The next prime is 2422142120249. The reversal of 2422142120244 is 4420212412242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422142120249) 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, 1295464 + ... + 2553920.

It is an arithmetic number, because the mean of its divisors is an integer number (73433541216).

Almost surely, 22422142120244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422142120244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524809978368).

2422142120244 is an abundant number, since it is smaller than the sum of its proper divisors (4627477836492).

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

2422142120244 is a wasteful number, since it uses less digits than its factorization.

2422142120244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260565 (or 1260563 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2422142120244 its reverse (4420212412242), we get a palindrome (6842354532486).

The spelling of 2422142120244 in words is "two trillion, four hundred twenty-two billion, one hundred forty-two million, one hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2083 4166 6249 8332 12498 14581 22913 24996 29162 43743 45826 58324 68739 87486 91652 137478 160391 174972 274956 320782 481173 641564 962346 1258457 1924692 2516914 3775371 5033828 7550742 8809199 13843027 15101484 17618398 26427597 27686054 35236796 41529081 52855194 55372108 83058162 96901189 105710388 166116324 193802378 290703567 387604756 581407134 1162814268 2621365931 5242731862 7864097793 10485463724 15728195586 18349561517 28835025241 31456391172 36699123034 55048684551 57670050482 73398246068 86505075723 110097369102 115340100964 173010151446 201845176687 220194738204 346020302892 403690353374 605535530061 807380706748 1211071060122 2422142120244