Search a number
-
+
211424431024410 = 2351729722591747
BaseRepresentation
bin110000000100101000010110…
…000110111010100100011010
31000201120222102010010201220120
4300010220112012322210122
5210202434213320240120
62025355013122534110
762350624331630442
oct6004502606724432
91021528363121816
10211424431024410
116140366354291a
121b86757a207336
1390c8313702216
143a2cdd5d17122
15196997bdc4140
hexc04a161ba91a

211424431024410 has 144 divisors (see below), whose sum is σ = 544636995008544. Its totient is φ = 52516321124352.

The previous prime is 211424431024381. The next prime is 211424431024439. The reversal of 211424431024410 is 14420134424112.

It is an interprime number because it is at equal distance from previous prime (211424431024381) and next prime (211424431024439).

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 71 ways as a sum of consecutive naturals, for example, 80280157 + ... + 82871903.

It is an arithmetic number, because the mean of its divisors is an integer number (3782201354226).

Almost surely, 2211424431024410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211424431024410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272318497504272).

211424431024410 is an abundant number, since it is smaller than the sum of its proper divisors (333212563984134).

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

211424431024410 is a wasteful number, since it uses less digits than its factorization.

211424431024410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591985 (or 2591871 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 211424431024410 its reverse (14420134424112), we get a palindrome (225844565448522).

The spelling of 211424431024410 in words is "two hundred eleven trillion, four hundred twenty-four billion, four hundred thirty-one million, twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 194 255 289 291 485 510 578 582 867 970 1445 1455 1649 1734 2890 2910 3298 4335 4947 8245 8670 9409 9894 16490 18818 24735 28033 28227 47045 49470 56066 56454 84099 94090 140165 141135 159953 168198 280330 282270 319906 420495 479859 799765 840990 959718 1599530 2399295 2591747 2719201 4798590 5183494 5438402 7775241 8157603 12958735 13596005 15550482 16315206 25917470 27192010 38876205 40788015 44059699 77752410 81576030 88119398 132179097 220298495 251399459 264358194 440596990 502798918 660895485 749014883 754198377 1256997295 1321790970 1498029766 1508396754 2247044649 2513994590 3745074415 3770991885 4273790803 4494089298 7490148830 7541983770 8547581606 11235223245 12821372409 21368954015 22470446490 24385747523 25642744818 42737908030 48771495046 64106862045 72654443651 73157242569 121928737615 128213724090 145308887302 146314485138 217963330953 243857475230 363272218255 365786212845 414557707891 435926661906 726544436510 731572425690 829115415782 1089816654765 1243673123673 2072788539455 2179633309530 2487346247346 4145577078910 6218365618365 7047481034147 12436731236730 14094962068294 21142443102441 35237405170735 42284886204882 70474810341470 105712215512205 211424431024410