Search a number
-
+
4141014442220 = 2254736131219301
BaseRepresentation
bin111100010000100111101…
…100011110000011101100
3112122212200102020120210102
4330100213230132003230
51020321244144122340
612450204502530232
7605115124663655
oct74204754360354
915585612216712
104141014442220
111357215773207
1256a681436978
1324065a8b33a6
141045d759852c
1572ab5cb2215
hex3c427b1e0ec

4141014442220 has 48 divisors (see below), whose sum is σ = 8883619774848. Its totient is φ = 1620713068800.

The previous prime is 4141014442211. The next prime is 4141014442223. The reversal of 4141014442220 is 222444101414.

4141014442220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41410144422202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4141014442223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2786570 + ... + 4005870.

It is an arithmetic number, because the mean of its divisors is an integer number (185075411976).

Almost surely, 24141014442220 is an apocalyptic number.

It is an amenable number.

4141014442220 is an abundant number, since it is smaller than the sum of its proper divisors (4742605332628).

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

4141014442220 is a wasteful number, since it uses less digits than its factorization.

4141014442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222970 (or 1222968 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 4141014442220 its reverse (222444101414), we get a palindrome (4363458543634).

The spelling of 4141014442220 in words is "four trillion, one hundred forty-one billion, fourteen million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 3613 7226 14452 18065 36130 72260 169811 339622 679244 849055 1219301 1698110 2438602 3396220 4877204 6096505 12193010 24386020 57307147 114614294 229228588 286535735 573071470 1146142940 4405334513 8810669026 17621338052 22026672565 44053345130 88106690260 207050722111 414101444222 828202888444 1035253610555 2070507221110 4141014442220