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30531022144 = 26782982207
BaseRepresentation
bin11100011011110010…
…100110110101000000
32220210202111121210221
4130123302212311000
51000011420202034
622005321432424
72130405256240
oct343362466500
986722447727
1030531022144
1111a47a69907
125b0093b714
132b573bc49c
141698b97b20
15bda56dbb4
hex71bca6d40

30531022144 has 56 divisors (see below), whose sum is σ = 69324362240. Its totient is φ = 13068781056.

The previous prime is 30531022141. The next prime is 30531022169. The reversal of 30531022144 is 44122013503.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30531022141) 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 7 ways as a sum of consecutive naturals, for example, 330289 + ... + 412495.

It is an arithmetic number, because the mean of its divisors is an integer number (1237935040).

Almost surely, 230531022144 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 30531022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34662181120).

30531022144 is an abundant number, since it is smaller than the sum of its proper divisors (38793340096).

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

30531022144 is an equidigital number, since it uses as much as digits as its factorization.

30531022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83055 (or 83045 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 30531022144 its reverse (44122013503), we get a palindrome (74653035647).

The spelling of 30531022144 in words is "thirty billion, five hundred thirty-one million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 829 1658 3316 5803 6632 11606 13264 23212 26528 46424 53056 82207 92848 164414 185696 328828 371392 575449 657656 1150898 1315312 2301796 2630624 4603592 5261248 9207184 18414368 36828736 68149603 136299206 272598412 477047221 545196824 954094442 1090393648 1908188884 2180787296 3816377768 4361574592 7632755536 15265511072 30531022144