Search a number
-
+
11222050055440 = 2457131631124239
BaseRepresentation
bin1010001101001101011001…
…0011101010010100010000
31110201211001222000020102211
42203103112103222110100
52432330224303233230
635511201050521504
72235523601414260
oct243232623522420
943654058006384
1011222050055440
113637276775124
121312aa9a36294
13635308a6c8c3
142ab215d077a0
15146da084842a
hexa34d64ea510

11222050055440 has 160 divisors (see below), whose sum is σ = 30052213678080. Its totient is φ = 3817426828800.

The previous prime is 11222050055413. The next prime is 11222050055441. The reversal of 11222050055440 is 4455005022211.

It is not an unprimeable number, because it can be changed into a prime (11222050055441) by changing a digit.

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, 462962841 + ... + 462987079.

It is an arithmetic number, because the mean of its divisors is an integer number (187826335488).

Almost surely, 211222050055440 is an apocalyptic number.

11222050055440 is a gapful number since it is divisible by the number (10) 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 11222050055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026106839040).

11222050055440 is an abundant number, since it is smaller than the sum of its proper divisors (18830163622640).

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

11222050055440 is a wasteful number, since it uses less digits than its factorization.

11222050055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30701 (or 30695 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 11222050055440 its reverse (4455005022211), we get a palindrome (15677055077651).

The spelling of 11222050055440 in words is "eleven trillion, two hundred twenty-two billion, fifty million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 6311 7336 9170 10480 12622 14672 18340 24239 25244 31555 36680 44177 48478 50488 63110 73360 88354 96956 100976 121195 126220 169673 176708 193912 220885 242390 252440 339346 353416 387824 441770 484780 504880 678692 706832 826741 848365 883540 969560 1357384 1653482 1696730 1767080 1939120 2714768 3175309 3306964 3393460 3534160 4133705 5787187 6350618 6613928 6786920 8267410 11574374 12701236 13227856 13573840 15876545 16534820 22227163 23148748 25402472 28935935 31753090 33069640 44454326 46297496 50804944 57871870 63506180 66139280 88908652 92594992 111135815 115743740 127012360 152972329 177817304 222271630 231487480 254024720 305944658 355634608 444543260 462974960 611889316 764861645 889086520 1070806303 1223778632 1529723290 1778173040 2141612606 2447557264 3059446580 4283225212 5354031515 6118893160 8566450424 10708063030 12237786320 17132900848 20039375099 21416126060 40078750198 42832252120 80157500396 85664504240 100196875495 140275625693 160315000792 200393750990 280551251386 320630001584 400787501980 561102502772 701378128465 801575003960 1122205005544 1402756256930 1603150007920 2244410011088 2805512513860 5611025027720 11222050055440