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1415321145 = 325721722221
BaseRepresentation
bin101010001011100…
…0001011000111001
310122122011202121200
41110113001120321
510344310234040
6352235124413
750034013500
oct12427013071
93578152550
101415321145
11666a037a7
12335ba3709
131972b4344
14d5d7d837
15843be630
hex545c1639

1415321145 has 108 divisors (see below), whose sum is σ = 3032856684. Its totient is φ = 608670720.

The previous prime is 1415321137. The next prime is 1415321161. The reversal of 1415321145 is 5411235141.

1415321145 is a `hidden beast` number, since 14 + 1 + 532 + 114 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 136328976 + 1278992169 = 11676^2 + 35763^2 .

It is not a de Polignac number, because 1415321145 - 23 = 1415321137 is a prime.

It is a super-2 number, since 2×14153211452 = 4006267886968222050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 636135 + ... + 638355.

Almost surely, 21415321145 is an apocalyptic number.

1415321145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1415321145 is an abundant number, since it is smaller than the sum of its proper divisors (1617535539).

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

1415321145 is a wasteful number, since it uses less digits than its factorization.

1415321145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2253 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 1415321145 is about 37620.7541790432. The cubic root of 1415321145 is about 1122.7550014823.

Adding to 1415321145 its reverse (5411235141), we get a palindrome (6826556286).

The spelling of 1415321145 in words is "one billion, four hundred fifteen million, three hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 289 315 357 441 595 735 765 833 867 1071 1445 1785 2023 2205 2221 2499 2601 4165 4335 5355 6069 6663 7497 10115 11105 12495 13005 14161 15547 18207 19989 30345 33315 37485 37757 42483 46641 70805 77735 91035 99945 108829 113271 127449 139923 188785 212415 233205 264299 326487 339813 544145 566355 637245 641869 699615 792897 979461 1321495 1632435 1699065 1850093 1925607 2378691 3209345 3964485 4493083 4897305 5550279 5776821 9250465 9628035 11893455 13479249 16650837 22465415 27751395 28884105 31451581 40437747 67396245 83254185 94354743 157257905 202188735 283064229 471773715 1415321145