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211411020044 = 227319714591721
BaseRepresentation
bin1100010011100100010…
…1000010100100001100
3202012200121010120020102
43010321011002210030
511430432210120134
6241042035510232
721162651010010
oct3047105024414
9665617116212
10211411020044
1181728011484
1234b81158378
1316c22446043
14a3377c4540
15577515237e
hex313914290c

211411020044 has 96 divisors (see below), whose sum is σ = 441519697920. Its totient is φ = 86668185600.

The previous prime is 211411019903. The next prime is 211411020059. The reversal of 211411020044 is 440020114112.

It is a junction number, because it is equal to n+sod(n) for n = 211411019998 and 211411020025.

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, 122841104 + ... + 122842824.

It is an arithmetic number, because the mean of its divisors is an integer number (4599163520).

Almost surely, 2211411020044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211411020044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220759848960).

211411020044 is an abundant number, since it is smaller than the sum of its proper divisors (230108677876).

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

211411020044 is a wasteful number, since it uses less digits than its factorization.

211411020044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211411020044 its reverse (440020114112), we get a palindrome (651431134156).

The spelling of 211411020044 in words is "two hundred eleven billion, four hundred eleven million, twenty thousand, forty-four".

Divisors: 1 2 4 7 14 28 31 62 97 124 194 217 388 434 679 868 1358 1459 1721 2716 2918 3007 3442 5836 6014 6884 10213 12028 12047 20426 21049 24094 40852 42098 45229 48188 53351 84196 90458 106702 141523 166937 180916 213404 283046 316603 333874 373457 566092 633206 667748 746914 990661 1168559 1266412 1493828 1981322 2337118 2510939 3962644 4387213 4674236 5021878 5175047 8774426 10043756 10350094 17548852 17576573 20700188 30710491 35153146 36225329 61420982 70306292 72450658 77839109 122841964 144901316 155678218 243561083 311356436 487122166 544873763 974244332 1089747526 1704927581 2179495052 3409855162 6819710324 7550393573 15100787146 30201574292 52852755011 105705510022 211411020044