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3024431055232 = 2779332390007
BaseRepresentation
bin101100000000101110001…
…000111000000110000000
3101201010120210121110202121
4230000232020320012000
5344023013322231412
610233223205454024
7431336135541256
oct54005610700600
911633523543677
103024431055232
11a66721536114
1240a1a3a11314
1318c283221bc2
14a655189c5d6
1553a144d0107
hex2c02e238180

3024431055232 has 64 divisors (see below), whose sum is σ = 6103406476800. Its totient is φ = 1492607660544.

The previous prime is 3024431055211. The next prime is 3024431055253. The reversal of 3024431055232 is 2325501344203.

It is an interprime number because it is at equal distance from previous prime (3024431055211) and next prime (3024431055253).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33557173 + ... + 33647179.

It is an arithmetic number, because the mean of its divisors is an integer number (95365726200).

Almost surely, 23024431055232 is an apocalyptic number.

3024431055232 is a gapful number since it is divisible by the number (32) 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 3024431055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051703238400).

3024431055232 is an abundant number, since it is smaller than the sum of its proper divisors (3078975421568).

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

3024431055232 is an equidigital number, since it uses as much as digits as its factorization.

3024431055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93423 (or 93411 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 3024431055232 its reverse (2325501344203), we get a palindrome (5349932399435).

The spelling of 3024431055232 in words is "three trillion, twenty-four billion, four hundred thirty-one million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 3323 5056 6646 10112 13292 26584 53168 90007 106336 180014 212672 262517 360028 425344 525034 720056 1050068 1440112 2100136 2880224 4200272 5760448 7110553 8400544 11520896 14221106 16801088 28442212 33602176 56884424 113768848 227537696 299093261 455075392 598186522 910150784 1196373044 2392746088 4785492176 9570984352 19141968704 23628367619 38283937408 47256735238 94513470476 189026940952 378053881904 756107763808 1512215527616 3024431055232