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4144101404220 = 2232523022785579
BaseRepresentation
bin111100010011011111101…
…100010010111000111100
3112200011122112220111120100
4330103133230102320330
51020344104424413340
612451435055121100
7605254460510121
oct74233754227074
915604575814510
104144101404220
11135855a22a478
1256b1a3213190
13240a302c4b1b
1410480b55a748
1572be6cd2830
hex3c4dfb12e3c

4144101404220 has 36 divisors (see below), whose sum is σ = 12570440926680. Its totient is φ = 1105093707744.

The previous prime is 4144101404129. The next prime is 4144101404231. The reversal of 4144101404220 is 224041014414.

It is a happy number.

4144101404220 is a `hidden beast` number, since 4 + 14 + 410 + 14 + 0 + 4 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11511392610 + ... + 11511392969.

It is an arithmetic number, because the mean of its divisors is an integer number (349178914630).

Almost surely, 24144101404220 is an apocalyptic number.

It is an amenable number.

4144101404220 is an abundant number, since it is smaller than the sum of its proper divisors (8426339522460).

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

4144101404220 is a wasteful number, since it uses less digits than its factorization.

4144101404220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23022785594 (or 23022785589 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4144101404220 its reverse (224041014414), we get a palindrome (4368142418634).

The spelling of 4144101404220 in words is "four trillion, one hundred forty-four billion, one hundred one million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 23022785579 46045571158 69068356737 92091142316 115113927895 138136713474 207205070211 230227855790 276273426948 345341783685 414410140422 460455711580 690683567370 828820280844 1036025351055 1381367134740 2072050702110 4144101404220