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24244442222420 = 22571632574133933
BaseRepresentation
bin1011000001100110110010…
…10111011100111101010100
310011211202010212022201011002
411200303121113130331110
511134210104202104140
6123321424253202432
75051413610443430
oct540633127347524
9104752125281132
1024244442222420
1177a8012646342
12287689a790418
13106b3198a8164
145db619bd59c0
152c09c0c76415
hex160cd95dcf54

24244442222420 has 96 divisors (see below), whose sum is σ = 58771445177088. Its totient is φ = 8229236539392.

The previous prime is 24244442222417. The next prime is 24244442222471. The reversal of 24244442222420 is 2422224444242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797774 + ... + 7931706.

It is an arithmetic number, because the mean of its divisors is an integer number (612202553928).

Almost surely, 224244442222420 is an apocalyptic number.

24244442222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24244442222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29385722588544).

24244442222420 is an abundant number, since it is smaller than the sum of its proper divisors (34527002954668).

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

24244442222420 is a wasteful number, since it uses less digits than its factorization.

24244442222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134369 (or 4134367 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 38.

Adding to 24244442222420 its reverse (2422224444242), we get a palindrome (26666666666662).

The spelling of 24244442222420 in words is "twenty-four trillion, two hundred forty-four billion, four hundred forty-two million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 257 326 514 652 815 1028 1141 1285 1630 1799 2282 2570 3260 3598 4564 5140 5705 7196 8995 11410 17990 22820 35980 41891 83782 167564 209455 293237 418910 586474 837820 1172948 1466185 2932370 4133933 5864740 8267866 16535732 20669665 28937531 41339330 57875062 82678660 115750124 144687655 289375310 578750620 673831079 1062420781 1347662158 2124841562 2695324316 3369155395 4249683124 4716817553 5312103905 6738310790 7436945467 9433635106 10624207810 13476621580 14873890934 18867270212 21248415620 23584087765 29747781868 37184727335 47168175530 74369454670 94336351060 148738909340 173174587303 346349174606 692698349212 865872936515 1212222111121 1731745873030 2424444222242 3463491746060 4848888444484 6061110555605 12122221111210 24244442222420