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212000440344 = 233711114718853
BaseRepresentation
bin1100010101110000110…
…1100000000000011000
3202021012200020012212220
43011130031200000120
511433134103042334
6241220333104040
721213366003360
oct3053415400030
9667180205786
10212000440344
11819aa7a36a0
1235106628020
1316cb75a9254
14a391bb59a0
1557abc80449
hex315c360018

212000440344 has 64 divisors (see below), whose sum is σ = 660780599040. Its totient is φ = 55065048960.

The previous prime is 212000440339. The next prime is 212000440369. The reversal of 212000440344 is 443044000212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57357579 + ... + 57361274.

It is an arithmetic number, because the mean of its divisors is an integer number (10324696860).

Almost surely, 2212000440344 is an apocalyptic number.

212000440344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212000440344 is an abundant number, since it is smaller than the sum of its proper divisors (448780158696).

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

212000440344 is a wasteful number, since it uses less digits than its factorization.

212000440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114718880 (or 114718876 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212000440344 its reverse (443044000212), we get a palindrome (655044440556).

The spelling of 212000440344 in words is "two hundred twelve billion, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 114718853 229437706 344156559 458875412 688313118 803031971 917750824 1261907383 1376626236 1606063942 2409095913 2523814766 2753252472 3212127884 3785722149 4818191826 5047629532 6424255768 7571444298 8833351681 9636383652 10095259064 15142888596 17666703362 19272767304 26500055043 30285777192 35333406724 53000110086 70666813448 106000220172 212000440344