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1316041401636 = 22321317322970981
BaseRepresentation
bin10011001001101010001…
…011100010010100100100
311122210221012002002101200
4103021222023202110210
5133030223044323021
62444325302322500
7164036506225233
oct23115213422444
94583835062350
101316041401636
11468148075715
12193083729430
1397143618180
14479a7c16b1a
1524377398126
hex1326a2e2524

1316041401636 has 144 divisors (see below), whose sum is σ = 3619051341360. Its totient is φ = 400831441920.

The previous prime is 1316041401617. The next prime is 1316041401637. The reversal of 1316041401636 is 6361041406131.

1316041401636 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 4 + 14 + 0 + 1 + 636 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 470947297536 + 845094104100 = 686256^2 + 919290^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1316041401636.

It is not an unprimeable number, because it can be changed into a prime (1316041401637) 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 47 ways as a sum of consecutive naturals, for example, 18505266 + ... + 18576246.

Almost surely, 21316041401636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316041401636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809525670680).

1316041401636 is an abundant number, since it is smaller than the sum of its proper divisors (2303009939724).

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

1316041401636 is a wasteful number, since it uses less digits than its factorization.

1316041401636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71406 (or 71401 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1316041401636 its reverse (6361041406131), we get a palindrome (7677082807767).

The spelling of 1316041401636 in words is "one trillion, three hundred sixteen billion, forty-one million, four hundred one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 229 234 346 458 468 519 687 692 916 1038 1374 1557 2061 2076 2249 2748 2977 3114 4122 4498 5954 6228 6747 8244 8931 8996 11908 13494 17862 20241 26793 26988 35724 39617 40482 53586 70981 79234 80964 107172 118851 141962 158468 212943 237702 283924 356553 425886 475404 515021 638829 713106 851772 922753 1030042 1277658 1426212 1545063 1845506 2060084 2555316 2768259 3090126 3691012 4635189 5536518 6180252 8304777 9270378 11073036 12279713 16254649 16609554 18540756 24559426 32509298 33219108 36839139 48763947 49118852 65018596 73678278 97527894 110517417 146291841 147356556 159636269 195055788 211310437 221034834 292583682 319272538 422620874 442069668 478908807 585167364 633931311 638545076 845241748 957817614 1267862622 1436726421 1901793933 1915635228 2535725244 2812054277 2873452842 3803587866 5624108554 5746905684 7607175732 8436162831 11248217108 16872325662 25308488493 33744651324 36556705601 50616976986 73113411202 101233953972 109670116803 146226822404 219340233606 329010350409 438680467212 658020700818 1316041401636