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4424302001024 = 271071974613557
BaseRepresentation
bin100000001100001110011…
…1100101111101110000000
3120122221220012202122010222
41000120130330233232000
51034441432303013044
613224255110242212
7634434220340063
oct100303474575600
916587805678128
104424302001024
111456377158034
125b5561956368
13261296181929
141141cccb28da
157a14614b8ee
hex4061cf2fb80

4424302001024 has 128 divisors (see below), whose sum is σ = 8963488084320. Its totient is φ = 2175011184640.

The previous prime is 4424302001003. The next prime is 4424302001047. The reversal of 4424302001024 is 4201002034244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4424302000984 and 4424302001002.

It is a congruent number.

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, 1243827854 + ... + 1243831410.

Almost surely, 24424302001024 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 4424302001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481744042160).

4424302001024 is an abundant number, since it is smaller than the sum of its proper divisors (4539186083296).

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

4424302001024 is a wasteful number, since it uses less digits than its factorization.

4424302001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4424302001024 its reverse (4201002034244), we get a palindrome (8625304035268).

The spelling of 4424302001024 in words is "four trillion, four hundred twenty-four billion, three hundred two million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 107 128 197 214 394 428 461 788 856 922 1576 1712 1844 3152 3424 3557 3688 6304 6848 7114 7376 12608 13696 14228 14752 21079 25216 28456 29504 42158 49327 56912 59008 84316 90817 98654 113824 168632 181634 197308 227648 337264 363268 380599 394616 455296 674528 700729 726536 761198 789232 1349056 1401458 1453072 1522396 1578464 1639777 2698112 2802916 2906144 3044792 3156928 3279554 5605832 5812288 6089584 6313856 6559108 9717419 11211664 11624576 12179168 13118216 19434838 22423328 24358336 26236432 38869676 44846656 48716672 52472864 74978003 77739352 89693312 104945728 149956006 155478704 175456139 209891456 299912012 310957408 323036069 350912278 599824024 621914816 646072138 701824556 1199648048 1243829632 1292144276 1403649112 2399296096 2584288552 2807298224 4798592192 5168577104 5614596448 9597184384 10337154208 11229192896 20674308416 22458385792 34564859383 41348616832 69129718766 138259437532 276518875064 553037750128 1106075500256 2212151000512 4424302001024