Search a number
-
+
1314363645 = 3357611512
BaseRepresentation
bin100111001010111…
…1001100011111101
310101121012120222000
41032111321203331
510142434114040
6334231212513
744366622660
oct11625714375
93347176860
101314363645
11614a18951
12308217139
1317c3c6a8a
14c67bd6d7
157a5cb130
hex4e5798fd

1314363645 has 96 divisors (see below), whose sum is σ = 2732325120. Its totient is φ = 587088000.

The previous prime is 1314363643. The next prime is 1314363667. The reversal of 1314363645 is 5463634131.

1314363645 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 6 + 3 + 645 = 666.

It is not a de Polignac number, because 1314363645 - 21 = 1314363643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314363641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8704320 + ... + 8704470.

It is an arithmetic number, because the mean of its divisors is an integer number (28461720).

Almost surely, 21314363645 is an apocalyptic number.

1314363645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314363645 is an abundant number, since it is smaller than the sum of its proper divisors (1417961475).

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

1314363645 is an equidigital number, since it uses as much as digits as its factorization.

1314363645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 227 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 1314363645 is about 36254.1534861869. The cubic root of 1314363645 is about 1095.3977537926.

Adding to 1314363645 its reverse (5463634131), we get a palindrome (6777997776).

The spelling of 1314363645 in words is "one billion, three hundred fourteen million, three hundred sixty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 151 183 189 305 315 427 453 549 755 915 945 1057 1281 1359 1647 2135 2265 2745 3171 3843 4077 5285 6405 6795 8235 9211 9513 11529 15855 19215 20385 22801 27633 28539 46055 47565 57645 64477 68403 82899 114005 138165 142695 159607 193431 205209 248697 322385 342015 414495 478821 580293 615627 798035 967155 1026045 1243485 1390861 1436463 1740879 2394105 2901465 3078135 4172583 4309389 6954305 7182315 8704395 9736027 12517749 20862915 21546945 29208081 37553247 48680135 62588745 87624243 146040405 187766235 262872729 438121215 1314363645