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4141014404100 = 2235271971911621
BaseRepresentation
bin111100010000100111101…
…100010100110000000100
3112122212200102011122111120
4330100213230110300010
51020321244141412400
612450204502033540
7605115124444560
oct74204754246004
915585612148446
104141014404100
111357215747602
1256a6814188b0
1324065a89bc32
141045d75886a0
1572ab5ca5ca0
hex3c427b14c04

4141014404100 has 72 divisors (see below), whose sum is σ = 13692954303168. Its totient is φ = 946517577600.

The previous prime is 4141014404099. The next prime is 4141014404227. The reversal of 4141014404100 is 14044101414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985953711 + ... + 985957910.

Almost surely, 24141014404100 is an apocalyptic number.

It is an amenable number.

4141014404100 is an abundant number, since it is smaller than the sum of its proper divisors (9551939899068).

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

4141014404100 is a wasteful number, since it uses less digits than its factorization.

4141014404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971911645 (or 1971911638 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4141014404100 its reverse (14044101414), we get a palindrome (4155058505514).

The spelling of 4141014404100 in words is "four trillion, one hundred forty-one billion, fourteen million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 1971911621 3943823242 5915734863 7887646484 9859558105 11831469726 13803381347 19719116210 23662939452 27606762694 29578674315 39438232420 41410144041 49297790525 55213525388 59157348630 69016906735 82820288082 98595581050 118314697260 138033813470 147893371575 165640576164 197191162100 207050720205 276067626940 295786743150 345084533675 414101440410 591573486300 690169067350 828202880820 1035253601025 1380338134700 2070507202050 4141014404100