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4144122100220 = 2256715139475189
BaseRepresentation
bin111100010011100000111…
…011001111100111111100
3112200011200222211222010212
4330103200323033213330
51020344130224201340
612451441114451552
7605255131435244
oct74234073174774
915604628758125
104144122100220
11135856a985703
1256b1aa133bb8
13240a3468cc8b
141048101c6b24
1572be8a1ea65
hex3c4e0ecf9fc

4144122100220 has 96 divisors (see below), whose sum is σ = 8895006973440. Its totient is φ = 1621370361600.

The previous prime is 4144122100213. The next prime is 4144122100241. The reversal of 4144122100220 is 220012214414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798633386 + ... + 798638574.

It is an arithmetic number, because the mean of its divisors is an integer number (92656322640).

Almost surely, 24144122100220 is an apocalyptic number.

It is an amenable number.

4144122100220 is an abundant number, since it is smaller than the sum of its proper divisors (4750884873220).

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

4144122100220 is a wasteful number, since it uses less digits than its factorization.

4144122100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 4144122100220 its reverse (220012214414), we get a palindrome (4364134314634).

The spelling of 4144122100220 in words is "four trillion, one hundred forty-four billion, one hundred twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 151 268 302 335 604 670 755 1340 1510 3020 3947 5189 7894 10117 10378 15788 19735 20234 20756 25945 39470 40468 50585 51890 78940 101170 103780 202340 264449 347663 528898 595997 695326 783539 1057796 1191994 1322245 1390652 1567078 1738315 2383988 2644490 2979985 3134156 3476630 3917695 5288980 5959970 6953260 7835390 11919940 15670780 20480983 39931799 40961966 52497113 79863598 81923932 102404915 104994226 159727196 199658995 204809830 209988452 262485565 399317990 409619660 524971130 798635980 1049942260 1372225861 2744451722 3092628433 5488903444 6185256866 6861129305 12370513732 13722258610 15463142165 27444517220 30926284330 61852568660 207206105011 414412210022 828824420044 1036030525055 2072061050110 4144122100220