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11142422222424 = 23337611693121501
BaseRepresentation
bin1010001000100100110000…
…0111100101011001011000
31110110012112120012012120020
42202021030013211121120
52430024140042104144
635410431430030440
72230004416122513
oct242111407453130
943405476165506
1011142422222424
113606524953669
1212bb5867a8420
1362a958a8284c
142a7420769d7a
15144c8ed91419
hexa224c1e5658

11142422222424 has 128 divisors (see below), whose sum is σ = 29095335487680. Its totient is φ = 3552387840000.

The previous prime is 11142422222413. The next prime is 11142422222431. The reversal of 11142422222424 is 42422222424111.

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

It is a congruent number.

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, 91645674 + ... + 91767174.

Almost surely, 211142422222424 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 11142422222424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547667743840).

11142422222424 is an abundant number, since it is smaller than the sum of its proper divisors (17952913265256).

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

11142422222424 is a wasteful number, since it uses less digits than its factorization.

11142422222424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123301 (or 123297 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

Adding to 11142422222424 its reverse (42422222424111), we get a palindrome (53564644646535).

The spelling of 11142422222424 in words is "eleven trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 732 888 1464 1693 2257 3386 4514 5079 6771 6772 9028 10158 13542 13544 18056 20316 27084 40632 54168 62641 103273 121501 125282 187923 206546 243002 250564 309819 364503 375846 413092 486004 501128 619638 729006 751692 826184 972008 1239276 1458012 1503384 2478552 2916024 3821101 4495537 7411561 7642202 8991074 11463303 13486611 14823122 15284404 17982148 22234683 22926606 26973222 29646244 30568808 35964296 44469366 45853212 53946444 59292488 88938732 91706424 107892888 177877464 205701193 274227757 411402386 548455514 617103579 822683271 822804772 1096911028 1234207158 1645366542 1645609544 2193822056 2468414316 3290733084 4936828632 6581466168 7610944141 12547772773 15221888282 22832832423 25095545546 30443776564 37643318319 45665664846 50191091092 60887553128 75286636638 91331329692 100382182184 150573273276 182662659384 301146546552 464267592601 928535185202 1392802777803 1857070370404 2785605555606 3714140740808 5571211111212 11142422222424