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14887250144 = 2513374632089
BaseRepresentation
bin11011101110101100…
…10110100011100000
31102102111222122221222
431313112112203200
5220442114001034
610501125234212
71034630352434
oct156726264340
942374878858
1014887250144
11634a512418
122a75862968
131533390170
14a132749c4
155c1e9212e
hex3775968e0

14887250144 has 96 divisors (see below), whose sum is σ = 32502476160. Its totient is φ = 6667702272.

The previous prime is 14887250143. The next prime is 14887250159. The reversal of 14887250144 is 44105278841.

It is a junction number, because it is equal to n+sod(n) for n = 14887250095 and 14887250104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14887250143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125452 + ... + 7127540.

It is an arithmetic number, because the mean of its divisors is an integer number (338567460).

Almost surely, 214887250144 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 14887250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251238080).

14887250144 is an abundant number, since it is smaller than the sum of its proper divisors (17615226016).

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

14887250144 is a wasteful number, since it uses less digits than its factorization.

14887250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 14887250144 in words is "fourteen billion, eight hundred eighty-seven million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 463 481 592 926 962 1184 1852 1924 2089 3704 3848 4178 6019 7408 7696 8356 12038 14816 15392 16712 17131 24076 27157 33424 34262 48152 54314 66848 68524 77293 96304 108628 137048 154586 192608 217256 222703 274096 309172 434512 445406 548192 618344 869024 890812 967207 1004809 1236688 1781624 1934414 2009618 2473376 3563248 3868828 4019236 7126496 7737656 8038472 12573691 15475312 16076944 25147382 30950624 32153888 35786659 50294764 71573318 100589528 143146636 201179056 286293272 402358112 465226567 572586544 930453134 1145173088 1860906268 3721812536 7443625072 14887250144