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1314243450 = 2325213317247
BaseRepresentation
bin100111001010101…
…1100001101111010
310101120222111002100
41032111130031322
510142421242300
6334224444230
744365612362
oct11625341572
93346874070
101314243450
11614946613
12308179676
1317c384160
14c678b9a2
157a5a5700
hex4e55c37a

1314243450 has 144 divisors (see below), whose sum is σ = 3925748736. Its totient is φ = 313027200.

The previous prime is 1314243401. The next prime is 1314243451. The reversal of 1314243450 is 543424131.

It is a happy number.

1314243450 is a `hidden beast` number, since 1 + 314 + 2 + 4 + 345 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1314243451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177727 + ... + 184973.

It is an arithmetic number, because the mean of its divisors is an integer number (27262144).

Almost surely, 21314243450 is an apocalyptic number.

1314243450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314243450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962874368).

1314243450 is an abundant number, since it is smaller than the sum of its proper divisors (2611505286).

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

1314243450 is a wasteful number, since it uses less digits than its factorization.

1314243450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1314243450 is about 36252.4957761531. The cubic root of 1314243450 is about 1095.3643623875.

Adding to 1314243450 its reverse (543424131), we get a palindrome (1857667581).

The spelling of 1314243450 in words is "one billion, three hundred fourteen million, two hundred forty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 31 39 45 50 62 65 75 78 90 93 117 130 150 155 186 195 225 234 279 310 325 390 403 450 465 558 585 650 775 806 930 975 1170 1209 1395 1550 1950 2015 2325 2418 2790 2925 3627 4030 4650 5850 6045 6975 7247 7254 10075 12090 13950 14494 18135 20150 21741 30225 36235 36270 43482 60450 65223 72470 90675 94211 108705 130446 181175 181350 188422 217410 224657 282633 326115 362350 449314 471055 543525 565266 652230 673971 847899 942110 1087050 1123285 1347942 1413165 1630575 1695798 2021913 2246570 2355275 2826330 2920541 3261150 3369855 4043826 4239495 4710550 5616425 5841082 6739710 7065825 8478990 8761623 10109565 11232850 14131650 14602705 16849275 17523246 20219130 21197475 26284869 29205410 33698550 42394950 43808115 50547825 52569738 73013525 87616230 101095650 131424345 146027050 219040575 262848690 438081150 657121725 1314243450