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4221112140 = 2232579734537
BaseRepresentation
bin1111101110011001…
…0000111101001100
3101220011202201021200
43323212100331030
532121101042030
61534505025500
7206413601250
oct37346207514
911804681250
104221112140
111876787033
12999785290
1352368b3bb
142c0870260
1519a89ed60
hexfb990f4c

4221112140 has 144 divisors (see below), whose sum is σ = 14784474432. Its totient is φ = 954851328.

The previous prime is 4221112127. The next prime is 4221112183. The reversal of 4221112140 is 412111224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104952 + ... + 139488.

Almost surely, 24221112140 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 4221112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392237216).

4221112140 is an abundant number, since it is smaller than the sum of its proper divisors (10563362292).

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

4221112140 is a wasteful number, since it uses less digits than its factorization.

4221112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34656 (or 34651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4221112140 is about 64970.0865014046. The cubic root of 4221112140 is about 1616.1275361513.

Adding to 4221112140 its reverse (412111224), we get a palindrome (4633223364).

The spelling of 4221112140 in words is "four billion, two hundred twenty-one million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 12222 13580 17460 20370 24444 30555 34537 40740 61110 69074 103611 122220 138148 172685 207222 241759 310833 345370 414444 483518 518055 621666 690740 725277 967036 1036110 1208795 1243332 1450554 1554165 2072220 2175831 2417590 2901108 3108330 3350089 3626385 4351662 4835180 6216660 6700178 7252770 8703324 10050267 10879155 13400356 14505540 16750445 20100534 21758310 23450623 30150801 33500890 40201068 43516620 46901246 50251335 60301602 67001780 70351869 93802492 100502670 117253115 120603204 140703738 150754005 201005340 211055607 234506230 281407476 301508010 351759345 422111214 469012460 603016020 703518690 844222428 1055278035 1407037380 2110556070 4221112140