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1312488128 = 2673173517
BaseRepresentation
bin100111000111010…
…1111101011000000
310101110200022020102
41032032233223000
510141444110003
6334123101532
744344652000
oct11616575300
93343608212
101312488128
11613957836
123076718a8
1317bbbb1c3
14c6452000
157a35a588
hex4e3afac0

1312488128 has 112 divisors (see below), whose sum is σ = 3216859200. Its totient is φ = 529256448.

The previous prime is 1312488071. The next prime is 1312488143. The reversal of 1312488128 is 8218842131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13124881282 = 3445250172281888768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312488091 and 1312488100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371426 + ... + 374942.

Almost surely, 21312488128 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 1312488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608429600).

1312488128 is an abundant number, since it is smaller than the sum of its proper divisors (1904371072).

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

1312488128 is an equidigital number, since it uses as much as digits as its factorization.

1312488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3543 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 1312488128 is about 36228.2780159367. The cubic root of 1312488128 is about 1094.8764837778.

The spelling of 1312488128 in words is "one billion, three hundred twelve million, four hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1372 1568 1666 1904 2744 3136 3332 3517 3808 5488 5831 6664 7034 7616 10976 11662 13328 14068 21952 23324 24619 26656 28136 46648 49238 53312 56272 59789 93296 98476 112544 119578 172333 186592 196952 225088 239156 344666 373184 393904 418523 478312 689332 787808 837046 956624 1206331 1378664 1575616 1674092 1913248 2412662 2757328 2929661 3348184 3826496 4825324 5514656 5859322 6696368 9650648 11029312 11718644 13392736 19301296 20507627 23437288 26785472 38602592 41015254 46874576 77205184 82030508 93749152 164061016 187498304 328122032 656244064 1312488128