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214244222432344 = 231389137233725119
BaseRepresentation
bin110000101101101010011110…
…110001011111010001011000
31001002120112210020011000120221
4300231222132301133101120
5211040134131420313334
62035354234222525424
763061430361263356
oct6055523661372130
91032515706130527
10214244222432344
11622a0512256085
1220041b70736874
1392711b3315810
143ac96934367d6
1519b7eb59598b4
hexc2da9ec5f458

214244222432344 has 128 divisors (see below), whose sum is σ = 442554368256000. Its totient is φ = 96640571326464.

The previous prime is 214244222432291. The next prime is 214244222432347. The reversal of 214244222432344 is 443234222442412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214244222432344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214244222432347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295098217 + ... + 295823335.

It is an arithmetic number, because the mean of its divisors is an integer number (3457456002000).

Almost surely, 2214244222432344 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 214244222432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221277184128000).

214244222432344 is an abundant number, since it is smaller than the sum of its proper divisors (228310145823656).

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

214244222432344 is a wasteful number, since it uses less digits than its factorization.

214244222432344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725597 (or 725593 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 43.

Adding to 214244222432344 its reverse (443234222442412), we get a palindrome (657478444874756).

The spelling of 214244222432344 in words is "two hundred fourteen trillion, two hundred forty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 89 104 137 178 233 274 356 466 548 712 932 1096 1157 1781 1864 2314 3029 3562 4628 6058 7124 9256 12116 12193 14248 20737 24232 24386 31921 41474 48772 63842 82948 97544 127684 158509 165896 255368 269581 317018 414973 539162 634036 725119 829946 1078324 1268072 1450238 1659892 2156648 2840969 2900476 3319784 5681938 5800952 9426547 11363876 18853094 22727752 36932597 37706188 64535591 73865194 75412376 99341303 129071182 147730388 168952727 198682606 258142364 295460776 337905454 397365212 516284728 675810908 794730424 838962683 1291436939 1351621816 1677925366 2196385451 2582873878 3355850732 4392770902 5165747756 6711701464 8785541804 8841375967 10331495512 15036792703 17571083608 17682751934 23146523599 30073585406 35365503868 46293047198 60147170812 70731007736 92586094396 114937887571 120294341624 185172188792 195478305139 229875775142 300904806787 390956610278 459751550284 601809613574 781913220556 919503100568 1203619227148 1563826441112 2060040600311 2407238454296 4120081200622 8240162401244 16480324802488 26780527804043 53561055608086 107122111216172 214244222432344