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1421120552608 = 251737269262469
BaseRepresentation
bin10100101011100001011…
…000101011111010100000
312000212011100001000221001
4110223201120223322200
5141240423330140413
63004504225241344
7204446456250121
oct24534130537240
95025140030831
101421120552608
114a876a55a049
121ab50a493254
13a401b4aa293
144cad5660048
1526e774714dd
hex14ae162bea0

1421120552608 has 96 divisors (see below), whose sum is σ = 3053796454800. Its totient is φ = 648266563584.

The previous prime is 1421120552569. The next prime is 1421120552629. The reversal of 1421120552608 is 8062550211241.

It can be written as a sum of positive squares in 8 ways, for example, as 413690803344 + 1007429749264 = 643188^2 + 1003708^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 5283198 + ... + 5545666.

Almost surely, 21421120552608 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 1421120552608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526898227400).

1421120552608 is an abundant number, since it is smaller than the sum of its proper divisors (1632675902192).

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

1421120552608 is a wasteful number, since it uses less digits than its factorization.

1421120552608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262802 (or 262794 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 1421120552608 its reverse (8062550211241), we get a palindrome (9483670763849).

The spelling of 1421120552608 in words is "one trillion, four hundred twenty-one billion, one hundred twenty million, five hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 269 272 296 538 544 592 629 1076 1184 1258 2152 2516 4304 4573 5032 8608 9146 9953 10064 18292 19906 20128 36584 39812 73168 79624 146336 159248 169201 262469 318496 338402 524938 676804 1049876 1353608 2099752 2707216 4199504 4461973 5414432 8399008 8923946 9711353 17847892 19422706 35695784 38845412 70604161 71391568 77690824 141208322 142783136 155381648 165093001 282416644 310763296 330186002 564833288 660372004 1129666576 1200270737 1320744008 2259333152 2400541474 2612353957 2641488016 4801082948 5224707914 5282976032 9602165896 10449415828 19204331792 20898831656 38408663584 41797663312 44410017269 83595326624 88820034538 177640069076 355280138152 710560276304 1421120552608