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211114044040 = 235237123913523
BaseRepresentation
bin1100010010011101100…
…0001010101010001000
3202011220220022121202011
43010213120022222020
511424330143402130
6240552350345304
721152413523524
oct3044730125210
9664826277664
10211114044040
1181595412a69
1234ab97bb234
1316ba5a667b3
14a30a19ad84
15575903e52a
hex312760aa88

211114044040 has 128 divisors (see below), whose sum is σ = 504780595200. Its totient is φ = 79297335040.

The previous prime is 211114044019. The next prime is 211114044073. The reversal of 211114044040 is 40440411112.

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, 15604719 + ... + 15618241.

It is an arithmetic number, because the mean of its divisors is an integer number (3943598400).

Almost surely, 2211114044040 is an apocalyptic number.

211114044040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211114044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252390297600).

211114044040 is an abundant number, since it is smaller than the sum of its proper divisors (293666551160).

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

211114044040 is a wasteful number, since it uses less digits than its factorization.

211114044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13867 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211114044040 its reverse (40440411112), we get a palindrome (251554455152).

The spelling of 211114044040 in words is "two hundred eleven billion, one hundred fourteen million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 239 284 355 460 478 568 710 920 956 1195 1420 1633 1912 2390 2840 3266 4780 5497 6532 8165 9560 10994 13064 13523 16330 16969 21988 27046 27485 32660 33938 43976 54092 54970 65320 67615 67876 84845 108184 109940 135230 135752 169690 219880 270460 311029 339380 390287 540920 622058 678760 780574 960133 1244116 1555145 1561148 1920266 1951435 2488232 3110290 3122296 3231997 3840532 3902870 4800665 6220580 6463994 7681064 7805740 9601330 12441160 12927988 15611480 16159985 19202660 22083059 25855976 32319970 38405320 44166118 64639940 74335931 88332236 110415295 129279880 148671862 176664472 220830590 229471787 297343724 371679655 441661180 458943574 594687448 743359310 883322360 917887148 1147358935 1486718620 1835774296 2294717870 2973437240 4589435740 5277851101 9178871480 10555702202 21111404404 26389255505 42222808808 52778511010 105557022020 211114044040