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15132001444 = 22721737122741
BaseRepresentation
bin11100001011111000…
…00000010010100100
31110001120112022121221
432011330000102210
5221442243021234
610541311150124
71043661614200
oct160574002244
943046468557
1015132001444
11646569071a
122b23815344
131571cb5811
14a37985b00
155d86daeb4
hex385f004a4

15132001444 has 72 divisors (see below), whose sum is σ = 33498255672. Its totient is φ = 5938652160.

The previous prime is 15132001403. The next prime is 15132001453. The reversal of 15132001444 is 44410023151.

It can be written as a sum of positive squares in 4 ways, for example, as 10756178944 + 4375822500 = 103712^2 + 66150^2 .

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 23 ways as a sum of consecutive naturals, for example, 61914 + ... + 184654.

It is an arithmetic number, because the mean of its divisors is an integer number (465253551).

Almost surely, 215132001444 is an apocalyptic number.

15132001444 is a gapful number since it is divisible by the number (14) 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 15132001444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749127836).

15132001444 is an abundant number, since it is smaller than the sum of its proper divisors (18366254228).

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

15132001444 is a wasteful number, since it uses less digits than its factorization.

15132001444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122813 (or 122804 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 15132001444 its reverse (44410023151), we get a palindrome (59542024595).

The spelling of 15132001444 in words is "fifteen billion, one hundred thirty-two million, one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 37 49 68 74 98 119 148 196 238 259 476 518 629 833 1036 1258 1666 1813 2516 3332 3626 4403 7252 8806 17612 30821 61642 122741 123284 245482 490964 859187 1718374 2086597 3436748 4173194 4541417 6014309 8346388 9082834 12028618 14606179 18165668 24057236 29212358 31789919 58424716 63579838 77204089 102243253 127159676 154408178 204486506 222529433 308816356 408973012 445058866 540428623 890117732 1080857246 2161714492 3783000361 7566000722 15132001444