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4141045231220 = 225312166341641
BaseRepresentation
bin111100010000101001100…
…001111010111001110100
3112122212202120011211100202
4330100221201322321310
51020321330034344340
612450211522500032
7605115650456552
oct74205141727164
915585676154322
104141045231220
111357231092467
1256a68b804618
132406640a3531
141045db6d0bd2
1572ab8844c15
hex3c42987ae74

4141045231220 has 24 divisors (see below), whose sum is σ = 8698981465608. Its totient is φ = 1655887334400.

The previous prime is 4141045231189. The next prime is 4141045231289. The reversal of 4141045231220 is 221325401414.

It is a happy number.

4141045231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 201344253796 + 3939700977424 = 448714^2 + 1984868^2 .

It is a super-3 number, since 3×41410452312203 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33108401 + ... + 33233240.

It is an arithmetic number, because the mean of its divisors is an integer number (362457561067).

Almost surely, 24141045231220 is an apocalyptic number.

It is an amenable number.

4141045231220 is an abundant number, since it is smaller than the sum of its proper divisors (4557936234388).

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

4141045231220 is a wasteful number, since it uses less digits than its factorization.

4141045231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66344771 (or 66344769 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 4141045231220 in words is "four trillion, one hundred forty-one billion, forty-five million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 3121 6242 12484 15605 31210 62420 66341641 132683282 265366564 331708205 663416410 1326832820 207052261561 414104523122 828209046244 1035261307805 2070522615610 4141045231220