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4002243223420 = 22513191399579107
BaseRepresentation
bin111010001111011000010…
…010010001111101111100
3112011121111012201020222001
4322033120102101331330
51011033043231122140
612302334414032044
7562103214044101
oct72173022217574
915147435636861
104002243223420
111303383a63622
125477b31a8624
13230543781b80
14db9d122caa8
156e192db3e9a
hex3a3d8491f7c

4002243223420 has 96 divisors (see below), whose sum is σ = 9534434112000. Its totient is φ = 1398971844864.

The previous prime is 4002243223417. The next prime is 4002243223421. The reversal of 4002243223420 is 243223422004.

It is a happy number.

It is a super-2 number, since 2×40022432234202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002243223421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6621507 + ... + 7200613.

It is an arithmetic number, because the mean of its divisors is an integer number (99317022000).

Almost surely, 24002243223420 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 4002243223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767217056000).

4002243223420 is an abundant number, since it is smaller than the sum of its proper divisors (5532190888580).

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

4002243223420 is a wasteful number, since it uses less digits than its factorization.

4002243223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580547 (or 580545 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4002243223420 its reverse (243223422004), we get a palindrome (4245466645424).

The spelling of 4002243223420 in words is "four trillion, two billion, two hundred forty-three million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 1399 2470 2798 4940 5596 6995 13990 18187 26581 27980 36374 53162 72748 90935 106324 132905 181870 265810 345553 363740 531620 579107 691106 1158214 1382212 1727765 2316428 2895535 3455530 5791070 6911060 7528391 11003033 11582140 15056782 22006066 30113564 37641955 44012132 55015165 75283910 110030330 143039429 150567820 220060660 286078858 572157716 715197145 810170693 1430394290 1620341386 2860788580 3240682772 4050853465 8101706930 10532219009 15393243167 16203413860 21064438018 30786486334 42128876036 52661095045 61572972668 76966215835 105322190090 153932431670 200112161171 210644380180 307864863340 400224322342 800448644684 1000560805855 2001121611710 4002243223420