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2141344422 = 2327192179263
BaseRepresentation
bin111111110100010…
…0101001010100110
312112020022120022200
41333220211022212
513341141010142
6552252235330
7104031061440
oct17750451246
95466276280
102141344422
119a9807838
124b916bb46
13281835609
1416456d490
15c7ed264c
hex7fa252a6

2141344422 has 144 divisors (see below), whose sum is σ = 5648797440. Its totient is φ = 574182432.

The previous prime is 2141344409. The next prime is 2141344423. The reversal of 2141344422 is 2244431412.

2141344422 is a `hidden beast` number, since 214 + 1 + 3 + 4 + 442 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141344423) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8141863 + ... + 8142125.

It is an arithmetic number, because the mean of its divisors is an integer number (39227760).

Almost surely, 22141344422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141344422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824398720).

2141344422 is an abundant number, since it is smaller than the sum of its proper divisors (3507453018).

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

2141344422 is a wasteful number, since it uses less digits than its factorization.

2141344422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 473 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2141344422 is about 46274.6628512840. The cubic root of 2141344422 is about 1288.9285460444.

Adding to 2141344422 its reverse (2244431412), we get a palindrome (4385775834).

The spelling of 2141344422 in words is "two billion, one hundred forty-one million, three hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 179 263 266 342 358 361 399 526 537 722 789 798 1074 1083 1197 1253 1578 1611 1841 2166 2367 2394 2506 2527 3222 3249 3401 3682 3759 4734 4997 5054 5523 6498 6802 7518 7581 9994 10203 11046 11277 14991 15162 16569 20406 22554 22743 23807 29982 30609 33138 34979 44973 45486 47077 47614 61218 64619 69958 71421 89946 94154 94943 104937 129238 141231 142842 189886 193857 209874 214263 282462 284829 314811 329539 387714 423693 428526 452333 569658 581571 629622 659078 664601 847386 854487 894463 904666 988617 1163142 1329202 1356999 1708974 1788926 1977234 1993803 2683389 2713998 2965851 3987606 4070997 5366778 5931702 5981409 6261241 8050167 8141994 11962818 12522482 16100334 16994797 18783723 33989594 37567446 50984391 56351169 101968782 112702338 118963579 152953173 237927158 305906346 356890737 713781474 1070672211 2141344422