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22141344420140 = 22511467655332887
BaseRepresentation
bin1010000100011001011101…
…11110000001000100101100
32220101200200100202212002112
411002030232332001010230
510400230433132421030
6115031332044343152
74443442104204341
oct502145676010454
986350610685075
1022141344420140
117067100779790
122597183544ab8
13c47bc5ac876a
1456790ab007c8
15285e31aeba95
hex14232ef8112c

22141344420140 has 96 divisors (see below), whose sum is σ = 50841726534144. Its totient is φ = 8032687004160.

The previous prime is 22141344420061. The next prime is 22141344420197. The reversal of 22141344420140 is 4102444314122.

It is a junction number, because it is equal to n+sod(n) for n = 22141344420097 and 22141344420106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 673238777 + ... + 673271663.

It is an arithmetic number, because the mean of its divisors is an integer number (529601318064).

Almost surely, 222141344420140 is an apocalyptic number.

22141344420140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141344420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420863267072).

22141344420140 is an abundant number, since it is smaller than the sum of its proper divisors (28700382114004).

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

22141344420140 is a wasteful number, since it uses less digits than its factorization.

22141344420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39927 (or 39925 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22141344420140 its reverse (4102444314122), we get a palindrome (26243788734262).

The spelling of 22141344420140 in words is "twenty-two trillion, one hundred forty-one billion, three hundred forty-four million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 467 934 1868 2335 4670 5137 6553 9340 10274 13106 20548 25685 26212 32765 32887 51370 65530 65774 72083 102740 131060 131548 144166 164435 288332 328870 360415 361757 657740 720830 723514 1441660 1447028 1808785 3060251 3617570 6120502 7235140 12241004 15301255 15358229 30602510 30716458 33662761 61205020 61432916 67325522 76791145 134651044 153582290 168313805 168940519 215508511 307164580 336627610 337881038 431017022 673255220 675762076 844702595 862034044 1077542555 1689405190 2155085110 2370593621 3378810380 4310170220 4741187242 9482374484 11852968105 23705936210 47411872420 100642474637 201284949274 402569898548 503212373185 1006424746370 1107067221007 2012849492740 2214134442014 4428268884028 5535336105035 11070672210070 22141344420140