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3423043132040 = 2357251177727409
BaseRepresentation
bin110001110011111101010…
…001010001101010001000
3110010020110202120001001202
4301303331101101222020
5422040343020211130
611140305130003332
7502210125356060
oct61637521215210
913106422501052
103423043132040
1110aa782678254
124734aa276548
131baa3a14c6cc
14bb9675b43a0
155e09411c145
hex31cfd451a88

3423043132040 has 128 divisors (see below), whose sum is σ = 8842474771200. Its totient is φ = 1168238592000.

The previous prime is 3423043131947. The next prime is 3423043132079. The reversal of 3423043132040 is 402313403243.

It is a super-3 number, since 3×34230431320403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3423043131994 and 3423043132012.

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, 124873856 + ... + 124901264.

It is an arithmetic number, because the mean of its divisors is an integer number (69081834150).

Almost surely, 23423043132040 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 3423043132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421237385600).

3423043132040 is an abundant number, since it is smaller than the sum of its proper divisors (5419431639160).

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

3423043132040 is a wasteful number, since it uses less digits than its factorization.

3423043132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29455 (or 29451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 3423043132040 its reverse (402313403243), we get a palindrome (3825356535283).

The spelling of 3423043132040 in words is "three trillion, four hundred twenty-three billion, forty-three million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 251 280 502 1004 1255 1757 1777 2008 2510 3514 3554 5020 7028 7108 8785 8885 10040 12439 14056 14216 17570 17770 24878 27409 35140 35540 49756 54818 62195 70280 71080 99512 109636 124390 137045 191863 219272 248780 274090 383726 446027 497560 548180 767452 892054 959315 1096360 1534904 1784108 1918630 2230135 3122189 3568216 3837260 4460270 6244378 6879659 7674520 8920540 12488756 13759318 15610945 17841080 24977512 27518636 31221890 34398295 48157613 48705793 55037272 62443780 68796590 96315226 97411586 124887560 137593180 192630452 194823172 240788065 243528965 275186360 340940551 385260904 389646344 481576130 487057930 681881102 963152260 974115860 1363762204 1704702755 1926304520 1948231720 2727524408 3409405510 6818811020 12225154043 13637622040 24450308086 48900616172 61125770215 85576078301 97801232344 122251540430 171152156602 244503080860 342304313204 427880391505 489006161720 684608626408 855760783010 1711521566020 3423043132040