Search a number
-
+
3422112122440 = 2351199120993739
BaseRepresentation
bin110001110011000101110…
…001110000011001001000
3110010011001212200211222201
4301303011301300121020
5422031441200404230
611140032511125544
7502145062045264
oct61630561603110
913104055624881
103422112122440
1110aa345095a30
1247328a5138b4
131ba91c2b965b
14bb8b9aa50a4
155e03c5175ca
hex31cc5c70648

3422112122440 has 128 divisors (see below), whose sum is σ = 8414461440000. Its totient is φ = 1242224121600.

The previous prime is 3422112122419. The next prime is 3422112122447. The reversal of 3422112122440 is 442212112243.

It is a junction number, because it is equal to n+sod(n) for n = 3422112122399 and 3422112122408.

It is not an unprimeable number, because it can be changed into a prime (3422112122447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915246091 + ... + 915249829.

It is an arithmetic number, because the mean of its divisors is an integer number (65737980000).

Almost surely, 23422112122440 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 3422112122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207230720000).

3422112122440 is an abundant number, since it is smaller than the sum of its proper divisors (4992349317560).

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

3422112122440 is a wasteful number, since it uses less digits than its factorization.

3422112122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 3422112122440 its reverse (442212112243), we get a palindrome (3864324234683).

The spelling of 3422112122440 in words is "three trillion, four hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 991 1982 2099 3739 3964 4198 4955 7478 7928 8396 9910 10495 10901 14956 16792 18695 19820 20990 21802 23089 29912 37390 39640 41129 41980 43604 46178 54505 74780 82258 83960 87208 92356 109010 115445 149560 164516 184712 205645 218020 230890 329032 411290 436040 461780 822580 923560 1645160 2080109 3705349 4160218 7410698 7848161 8320436 10400545 14821396 15696322 16640872 18526745 20801090 22881199 29642792 31392644 37053490 39240805 40758839 41602180 45762398 62785288 74106980 78481610 81517678 83204360 86329771 91524796 114405995 148213960 156963220 163035356 172659542 183049592 203794195 228811990 313926440 326070712 345319084 407588390 431648855 457623980 690638168 815176780 863297710 915247960 1630353560 1726595420 3453190840 7777527551 15555055102 31110110204 38887637755 62220220408 77775275510 85552803061 155550551020 171105606122 311101102040 342211212244 427764015305 684422424488 855528030610 1711056061220 3422112122440