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1311928488 = 233413179161
BaseRepresentation
bin100111000110010…
…0111000010101000
310101102121212120000
41032030213002220
510141323202423
6334103103000
744340131253
oct11614470250
93342555500
101311928488
11613605322
12307441a60
1317ba53560
14c634809a
157a299843
hex4e3270a8

1311928488 has 160 divisors (see below), whose sum is σ = 4190515560. Its totient is φ = 379883520.

The previous prime is 1311928459. The next prime is 1311928517. The reversal of 1311928488 is 8848291131.

1311928488 is a `hidden beast` number, since 131 + 19 + 28 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (1311928459) and next prime (1311928517).

It can be written as a sum of positive squares in 4 ways, for example, as 982070244 + 329858244 = 31338^2 + 18162^2 .

It is a super-2 number, since 2×13119284882 = 3442312715251932288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138628 + ... + 147788.

Almost surely, 21311928488 is an apocalyptic number.

1311928488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311928488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095257780).

1311928488 is an abundant number, since it is smaller than the sum of its proper divisors (2878587072).

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

1311928488 is a wasteful number, since it uses less digits than its factorization.

1311928488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9196 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 1311928488 is about 36220.5533916863. The cubic root of 1311928488 is about 1094.7208445832.

The spelling of 1311928488 in words is "one billion, three hundred eleven million, nine hundred twenty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 1053 1224 1326 1377 1404 1768 1836 1989 2106 2652 2754 2808 3672 3978 4212 5304 5508 5967 7956 8424 9161 11016 11934 15912 17901 18322 23868 27483 35802 36644 47736 54966 71604 73288 82449 109932 119093 143208 155737 164898 219864 238186 247347 311474 329796 357279 467211 476372 494694 622948 659592 714558 742041 934422 952744 989388 1071837 1245896 1401633 1429116 1484082 1868844 1978776 2024581 2143674 2803266 2858232 2968164 3215511 3737688 4049162 4204899 4287348 5606532 5936328 6073743 6431022 8098324 8409798 8574696 9646533 11213064 12147486 12614697 12862044 16196648 16819596 18221229 19293066 24294972 25229394 25724088 33639192 36442458 38586132 48589944 50458788 54663687 72884916 77172264 100917576 109327374 145769832 163991061 218654748 327982122 437309496 655964244 1311928488