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212140302404144 = 243110310433398011
BaseRepresentation
bin110000001111000011000011…
…010111100000101000110000
31000211010102012102102202121112
4300033003003113200220300
5210301201314403413034
62031103524243012452
762453426312151212
oct6017030327405060
91024112172382545
10212140302404144
116165a219247a74
121b96226606a128
13914a98b0a08ca
143a5590706c5b2
15197d3c95177ce
hexc0f0c35e0a30

212140302404144 has 80 divisors (see below), whose sum is σ = 428441972434944. Its totient is φ = 101641947033600.

The previous prime is 212140302404117. The next prime is 212140302404213. The reversal of 212140302404144 is 441404203041212.

It is a self number, because there is not a number n which added to its sum of digits gives 212140302404144.

It is an unprimeable number.

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, 532802099 + ... + 533200109.

Almost surely, 2212140302404144 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 212140302404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214220986217472).

212140302404144 is an abundant number, since it is smaller than the sum of its proper divisors (216301670030800).

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

212140302404144 is a wasteful number, since it uses less digits than its factorization.

212140302404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408586 (or 408580 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212140302404144 its reverse (441404203041212), we get a palindrome (653544505445356).

The spelling of 212140302404144 in words is "two hundred twelve trillion, one hundred forty billion, three hundred two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 103 124 206 248 412 496 824 1648 3193 6386 10433 12772 20866 25544 41732 51088 83464 166928 323423 398011 646846 796022 1074599 1293692 1592044 2149198 2587384 3184088 4298396 5174768 6368176 8596792 12338341 17193584 24676682 33312569 40995133 49353364 66625138 81990266 98706728 133250276 163980532 197413456 266500552 327961064 533001104 655922128 1270849123 2541698246 4152448763 5083396492 8304897526 10166792984 16609795052 20333585968 33219590104 66439180208 128725911653 257451823306 427702222589 514903646612 855404445178 1029807293224 1710808890356 2059614586448 3421617780712 6843235561424 13258768900259 26517537800518 53035075601036 106070151202072 212140302404144