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14446450557 = 32711199771123
BaseRepresentation
bin11010111010001001…
…10101011101111101
31101021210112201121100
431131010311131331
5214041242404212
610345301323313
71020665542440
oct153504653575
941253481540
1014446450557
116143710140
122972106539
131492c650c6
149b08cd657
1559841ebdc
hex35d13577d

14446450557 has 96 divisors (see below), whose sum is σ = 27437829120. Its totient is φ = 7096066560.

The previous prime is 14446450549. The next prime is 14446450631. The reversal of 14446450557 is 75505464441.

14446450557 is a `hidden beast` number, since 1 + 4 + 4 + 46 + 4 + 50 + 557 = 666.

It is not a de Polignac number, because 14446450557 - 23 = 14446450549 is a prime.

It is a super-2 number, since 2×144464505572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14446450537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12863598 + ... + 12864720.

It is an arithmetic number, because the mean of its divisors is an integer number (285810720).

Almost surely, 214446450557 is an apocalyptic number.

It is an amenable number.

14446450557 is a deficient number, since it is larger than the sum of its proper divisors (12991378563).

14446450557 is a wasteful number, since it uses less digits than its factorization.

14446450557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 14446450557 in words is "fourteen billion, four hundred forty-six million, four hundred fifty thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 977 1123 1197 1463 1881 2931 3369 4389 6839 7861 8793 10107 10747 12353 13167 18563 20517 21337 23583 32241 37059 55689 61551 64011 70749 75229 86471 96723 111177 129941 149359 167067 192033 204193 225687 234707 259413 389823 448077 612579 677061 704121 778239 1097171 1169469 1344231 1429351 1642949 1837737 2112363 3291513 4288053 4928847 7680197 9874539 12068881 12864159 14786541 20846249 23040591 36206643 62538747 69121773 84482167 108619929 145923743 187616241 229308739 253446501 437771229 687926217 760339503 1313313687 1605161173 2063778651 4815483519 14446450557