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15045441424 = 241337252837
BaseRepresentation
bin11100000001100011…
…10011011110010000
31102211112122121121021
432000301303132100
5221303113111144
610524540005224
71041561066466
oct160061633620
942745577537
1015045441424
116420839912
122aba830814
13155a099580
14a2a292836
155d0cdd884
hex380c73790

15045441424 has 60 divisors (see below), whose sum is σ = 32264890644. Its totient is φ = 6756244992.

The previous prime is 15045441419. The next prime is 15045441431. The reversal of 15045441424 is 42414454051.

It can be written as a sum of positive squares in 6 ways, for example, as 185831424 + 14859610000 = 13632^2 + 121900^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15045441424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258334 + ... + 311170.

Almost surely, 215045441424 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 15045441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132445322).

15045441424 is an abundant number, since it is smaller than the sum of its proper divisors (17219449220).

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

15045441424 is a wasteful number, since it uses less digits than its factorization.

15045441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52932 (or 52889 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 15045441424 its reverse (42414454051), we get a palindrome (57459895475).

The spelling of 15045441424 in words is "fifteen billion, forty-five million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1369 1924 2738 3848 5476 7696 10952 17797 21904 35594 52837 71188 105674 142376 211348 284752 422696 686881 845392 1373762 1954969 2747524 3909938 5495048 7819876 10990096 15639752 25414597 31279504 50829194 72333853 101658388 144667706 203316776 289335412 406633552 578670824 940340089 1157341648 1880680178 3761360356 7522720712 15045441424