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1314114246 = 2331723109571
BaseRepresentation
bin100111001010011…
…1100101011000110
310101120201220212000
41032110330223012
510142403123441
6334222010130
744364533604
oct11624745306
93346656760
101314114246
11614868535
12308116946
1317c33a3c3
14c6756874
157a57c2b6
hex4e53cac6

1314114246 has 128 divisors (see below), whose sum is σ = 3261772800. Its totient is φ = 390044160.

The previous prime is 1314114239. The next prime is 1314114283. The reversal of 1314114246 is 6424114131.

1314114246 is a `hidden beast` number, since 1 + 3 + 1 + 411 + 4 + 246 = 666.

1314114246 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301141 + ... + 2301711.

It is an arithmetic number, because the mean of its divisors is an integer number (25482600).

Almost surely, 21314114246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314114246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630886400).

1314114246 is an abundant number, since it is smaller than the sum of its proper divisors (1947658554).

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

1314114246 is a wasteful number, since it uses less digits than its factorization.

1314114246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1314114246 is about 36250.7137309047. The cubic root of 1314114246 is about 1095.3284659192.

Adding to 1314114246 its reverse (6424114131), we get a palindrome (7738228377).

The spelling of 1314114246 in words is "one billion, three hundred fourteen million, one hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 109 138 153 207 218 306 327 391 414 459 571 621 654 782 918 981 1142 1173 1242 1713 1853 1962 2346 2507 2943 3426 3519 3706 5014 5139 5559 5886 7038 7521 9707 10278 10557 11118 13133 15042 15417 16677 19414 21114 22563 26266 29121 30834 33354 39399 42619 45126 50031 58242 62239 67689 78798 85238 87363 100062 118197 124478 127857 135378 174726 186717 223261 236394 255714 262089 354591 373434 383571 446522 524178 560151 669783 709182 767142 1058063 1120302 1150713 1339566 1431497 1680453 2009349 2116126 2301426 2862994 3174189 3360906 4018698 4294491 6028047 6348378 8588982 9522567 12056094 12883473 19045134 24335449 25766946 28567701 38650419 48670898 57135402 73006347 77300838 146012694 219019041 438038082 657057123 1314114246