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11244221232432 = 24341137330712611
BaseRepresentation
bin1010001110011111111111…
…0011111111010100110000
31110210221022002222201121020
42203213333303333110300
52433211131113414212
635525305100055440
72240240166333246
oct243477763772460
943727262881536
1011244221232432
1136457138275a1
121317256b34580
136374301c6846
142ac31a6c6796
1514774bedad8c
hexa39ffcff530

11244221232432 has 160 divisors (see below), whose sum is σ = 29984687357184. Its totient is φ = 3628580966400.

The previous prime is 11244221232397. The next prime is 11244221232553. The reversal of 11244221232432 is 23423212244211.

It is a super-2 number, since 2×112442212324322 (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 a junction number, because it is equal to n+sod(n) for n = 11244221232393 and 11244221232402.

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, 891613807 + ... + 891626417.

Almost surely, 211244221232432 is an apocalyptic number.

11244221232432 is a gapful number since it is divisible by the number (12) 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 11244221232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992343678592).

11244221232432 is an abundant number, since it is smaller than the sum of its proper divisors (18740466124752).

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

11244221232432 is a wasteful number, since it uses less digits than its factorization.

11244221232432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16107 (or 16101 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 11244221232432 its reverse (23423212244211), we get a palindrome (34667433476643).

The spelling of 11244221232432 in words is "eleven trillion, two hundred forty-four billion, two hundred twenty-one million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 137 164 246 274 328 411 492 548 656 822 984 1096 1644 1968 2192 3288 3307 5617 6576 6614 9921 11234 12611 13228 16851 19842 22468 25222 26456 33702 37833 39684 44936 50444 52912 67404 75666 79368 89872 100888 134808 135587 151332 158736 201776 269616 271174 302664 406761 453059 517051 542348 605328 813522 906118 1034102 1084696 1359177 1551153 1627044 1727707 1812236 2068204 2169392 2718354 3102306 3254088 3455414 3624472 4136408 5183121 5436708 6204612 6508176 6910828 7248944 8272816 10366242 10873416 12409224 13821656 18575419 20732484 21746832 24818448 27643312 37150838 41464968 41704577 55726257 70835987 74301676 82929936 83409154 111452514 125113731 141671974 148603352 166818308 212507961 222905028 250227462 283343948 297206704 333636616 425015922 445810056 500454924 566687896 667273232 850031844 891620112 1000909848 1133375792 1700063688 1709887657 2001819696 3400127376 3419775314 5129662971 5713527049 6839550628 10259325942 11427054098 13679101256 17140581147 20518651884 22854108196 27358202512 34281162294 41037303768 45708216392 68562324588 82074607536 91416432784 137124649176 234254609009 274249298352 468509218018 702763827027 937018436036 1405527654054 1874036872072 2811055308108 3748073744144 5622110616216 11244221232432