Search a number
-
+
1308091290464 = 257231971288831
BaseRepresentation
bin10011000010010000010…
…100010001001101100000
311122001102010112121002202
4103002100110101031200
5132412432332243324
62440532344032332
7163335502340450
oct23022024211540
94561363477082
101308091290464
11464838482502
121916251626a8
139647752198a
1447452017d60
152405e4548ae
hex13090511360

1308091290464 has 96 divisors (see below), whose sum is σ = 3086762950656. Its totient is φ = 533513756160.

The previous prime is 1308091290419. The next prime is 1308091290521. The reversal of 1308091290464 is 4640921908031.

It is a super-2 number, since 2×13080912904642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 370529 + ... + 1659359.

It is an arithmetic number, because the mean of its divisors is an integer number (32153780736).

Almost surely, 21308091290464 is an apocalyptic number.

1308091290464 is a gapful number since it is divisible by the number (14) 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 1308091290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543381475328).

1308091290464 is an abundant number, since it is smaller than the sum of its proper divisors (1778671660192).

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

1308091290464 is a wasteful number, since it uses less digits than its factorization.

1308091290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289068 (or 1289060 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 1308091290464 in words is "one trillion, three hundred eight billion, ninety-one million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 197 224 322 368 394 644 736 788 1288 1379 1576 2576 2758 3152 4531 5152 5516 6304 9062 11032 18124 22064 31717 36248 44128 63434 72496 126868 144992 253736 507472 1014944 1288831 2577662 5155324 9021817 10310648 18043634 20621296 29643113 36087268 41242592 59286226 72174536 118572452 144349072 207501791 237144904 253899707 288698144 415003582 474289808 507799414 830007164 948579616 1015598828 1660014328 1777297949 2031197656 3320028656 3554595898 4062395312 5839693261 6640057312 7109191796 8124790624 11679386522 14218383592 23358773044 28436767184 40877852827 46717546088 56873534368 81755705654 93435092176 163511411308 186870184352 327022822616 654045645232 1308091290464