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211444004440 = 235411131140967
BaseRepresentation
bin1100010011101100001…
…0110111011001011000
3202012202220012100022201
43010323002313121120
511431014131120230
6241045214455544
721163531245304
oct3047302673130
9665686170281
10211444004440
11817446a0109
1234b902045b4
1316c29224536
14a33bd2cd04
155777eba5ca
hex313b0b7658

211444004440 has 64 divisors (see below), whose sum is σ = 491665930560. Its totient is φ = 81784442880.

The previous prime is 211444004419. The next prime is 211444004441. The reversal of 211444004440 is 44400444112.

211444004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211444004399 and 211444004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211444004441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385164 + ... + 755803.

It is an arithmetic number, because the mean of its divisors is an integer number (7682280165).

Almost surely, 2211444004440 is an apocalyptic number.

211444004440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211444004440 is an abundant number, since it is smaller than the sum of its proper divisors (280221926120).

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

211444004440 is a wasteful number, since it uses less digits than its factorization.

211444004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141132 (or 1141128 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 211444004440 its reverse (44400444112), we get a palindrome (255844448552).

The spelling of 211444004440 in words is "two hundred eleven billion, four hundred forty-four million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 565 820 904 1130 1640 2260 4520 4633 9266 18532 23165 37064 46330 92660 185320 1140967 2281934 4563868 5704835 9127736 11409670 22819340 45638680 46779647 93559294 128929271 187118588 233898235 257858542 374237176 467796470 515717084 644646355 935592940 1031434168 1289292710 1871185880 2578585420 5157170840 5286100111 10572200222 21144400444 26430500555 42288800888 52861001110 105722002220 211444004440