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211440310144 = 2771912420131
BaseRepresentation
bin1100010011101011010…
…0110001011110000000
3202012202122020122200221
43010322310301132000
511431012204411034
6241045003352424
721163454660620
oct3047264613600
9665678218627
10211440310144
11817425a7578
1234b8ab22714
1316c2852cb6b
14a33b64a880
1557779dabb4
hex313ad31780

211440310144 has 64 divisors (see below), whose sum is σ = 506741385600. Its totient is φ = 85847938560.

The previous prime is 211440310121. The next prime is 211440310183. The reversal of 211440310144 is 441013044112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6193042 + ... + 6227089.

It is an arithmetic number, because the mean of its divisors is an integer number (7917834150).

Almost surely, 2211440310144 is an apocalyptic number.

It is an amenable number.

211440310144 is an abundant number, since it is smaller than the sum of its proper divisors (295301075456).

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

211440310144 is a wasteful number, since it uses less digits than its factorization.

211440310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420171 (or 12420159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211440310144 its reverse (441013044112), we get a palindrome (652453354256).

The spelling of 211440310144 in words is "two hundred eleven billion, four hundred forty million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 12420131 24840262 49680524 86940917 99361048 173881834 198722096 235982489 347763668 397444192 471964978 695527336 794888384 943929956 1391054672 1589776768 1651877423 1887859912 2782109344 3303754846 3775719824 5564218688 6607509692 7551439648 11128437376 13215019384 15102879296 26430038768 30205758592 52860077536 105720155072 211440310144