Search a number
-
+
21422411422412 = 227111337057144379
BaseRepresentation
bin1001101111011110010110…
…01110010001101011001100
32210211221222200111112001112
410313233023032101223030
510301441044311004122
6113321153035231152
74340501216434610
oct467571316215314
983757880445045
1021422411422412
11690a214848730
12249b9822a84b8
13bc51810502b0
14540bc9103340
152723a57e22e2
hex137bcb391acc

21422411422412 has 96 divisors (see below), whose sum is σ = 50336883448320. Its totient is φ = 7704102481920.

The previous prime is 21422411422351. The next prime is 21422411422523.

21422411422412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214224114224122 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148304039 + ... + 148448417.

It is an arithmetic number, because the mean of its divisors is an integer number (524342535920).

Almost surely, 221422411422412 is an apocalyptic number.

21422411422412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21422411422412 is an abundant number, since it is smaller than the sum of its proper divisors (28914472025908).

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

21422411422412 is a wasteful number, since it uses less digits than its factorization.

21422411422412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181471 (or 181469 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 2142241 and 1422412, that added together give a palindrome (3564653).

The spelling of 21422411422412 in words is "twenty-one trillion, four hundred twenty-two billion, four hundred eleven million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 37057 74114 144379 148228 259399 288758 407627 481741 518798 577516 815254 963482 1010653 1037596 1588169 1630508 1876927 1926964 2021306 2853389 3176338 3372187 3753854 4042612 5299151 5706778 6352676 6744374 7507708 10598302 11117183 11413556 13138489 13488748 20646197 21196604 22234366 26276978 37094057 41292394 44468732 52553956 74188114 82584788 144523379 148376228 289046758 578093516 5350252603 10700505206 21401010412 37451768221 58852778633 69553283839 74903536442 117705557266 139106567678 149807072884 235411114532 278213135356 411969450431 486872986873 765086122229 823938900862 973745973746 1530172244458 1647877801724 1947491947492 3060344488916 5355602855603 10711205711206 21422411422412