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30441033344 = 27437970009
BaseRepresentation
bin11100010110011011…
…010100111010000000
32220120111011201101102
4130112123110322000
5444320401031334
621552344553532
72125233341231
oct342633247200
986514151342
1030441033344
1111a011959a7
125a967828a8
132b41872687
14168ac51088
15bd26e567e
hex7166d4e80

30441033344 has 64 divisors (see below), whose sum is σ = 62840976000. Its totient is φ = 14678157312.

The previous prime is 30441033319. The next prime is 30441033397. The reversal of 30441033344 is 44333014403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×304410333442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399812 + ... + 469820.

It is an arithmetic number, because the mean of its divisors is an integer number (981890250).

Almost surely, 230441033344 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 30441033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31420488000).

30441033344 is an abundant number, since it is smaller than the sum of its proper divisors (32399942656).

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

30441033344 is an equidigital number, since it uses as much as digits as its factorization.

30441033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70145 (or 70133 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 30441033344 its reverse (44333014403), we get a palindrome (74774047747).

The spelling of 30441033344 in words is "thirty billion, four hundred forty-one million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 79 86 128 158 172 316 344 632 688 1264 1376 2528 2752 3397 5056 5504 6794 10112 13588 27176 54352 70009 108704 140018 217408 280036 434816 560072 1120144 2240288 3010387 4480576 5530711 6020774 8961152 11061422 12041548 22122844 24083096 44245688 48166192 88491376 96332384 176982752 192664768 237820573 353965504 385329536 475641146 707931008 951282292 1902564584 3805129168 7610258336 15220516672 30441033344