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123054034304 = 274325786993
BaseRepresentation
bin111001010011010010…
…1111000110110000000
3102202121211212121222002
41302212211320312000
54004003313044204
6132310311003132
711614252014335
oct1624645706600
9382554777862
10123054034304
1148206881313
121ba226694a8
13b7b0b3a366
145d54bb698c
15330316e91e
hex1ca6978d80

123054034304 has 64 divisors (see below), whose sum is σ = 251826751440. Its totient is φ = 59861630976.

The previous prime is 123054034303. The next prime is 123054034357. The reversal of 123054034304 is 403430450321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123054034303) 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, 1371032 + ... + 1458024.

Almost surely, 2123054034304 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 123054034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125913375720).

123054034304 is an abundant number, since it is smaller than the sum of its proper divisors (128772717136).

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

123054034304 is an equidigital number, since it uses as much as digits as its factorization.

123054034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87307 (or 87295 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 123054034304 its reverse (403430450321), we get a palindrome (526484484625).

The spelling of 123054034304 in words is "one hundred twenty-three billion, fifty-four million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 257 344 514 688 1028 1376 2056 2752 4112 5504 8224 11051 16448 22102 32896 44204 86993 88408 173986 176816 347972 353632 695944 707264 1391888 1414528 2783776 3740699 5567552 7481398 11135104 14962796 22357201 29925592 44714402 59851184 89428804 119702368 178857608 239404736 357715216 478809472 715430432 961359643 1430860864 1922719286 2861721728 3845438572 7690877144 15381754288 30763508576 61527017152 123054034304