Search a number
-
+
10412131440326 = 27211139257270379
BaseRepresentation
bin1001011110000100001101…
…1001010101011011000110
31100212101112100020122101212
42113201003121111123012
52331043021122042301
634051133412051422
72123152215652100
oct227410331253306
940771470218355
1010412131440326
11335483a833060
121201b35903b72
135a6b23c2c605
1427dd42566570
15130c9b8c24bb
hex978436556c6

10412131440326 has 96 divisors (see below), whose sum is σ = 20040089731200. Its totient is φ = 4011803873280.

The previous prime is 10412131440311. The next prime is 10412131440341. The reversal of 10412131440326 is 62304413121401.

It is an interprime number because it is at equal distance from previous prime (10412131440311) and next prime (10412131440341).

It is a super-2 number, since 2×104121314403262 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10412131440292 and 10412131440301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38374205 + ... + 38644583.

It is an arithmetic number, because the mean of its divisors is an integer number (208750934700).

Almost surely, 210412131440326 is an apocalyptic number.

10412131440326 is a deficient number, since it is larger than the sum of its proper divisors (9627958290874).

10412131440326 is a wasteful number, since it uses less digits than its factorization.

10412131440326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270802 (or 270795 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 10412131440326 its reverse (62304413121401), we get a palindrome (72716544561727).

The spelling of 10412131440326 in words is "ten trillion, four hundred twelve billion, one hundred thirty-one million, four hundred forty thousand, three hundred twenty-six".

Divisors: 1 2 7 11 14 22 49 77 98 139 154 257 278 514 539 973 1078 1529 1799 1946 2827 3058 3598 5654 6811 10703 12593 13622 19789 21406 25186 35723 39578 71446 74921 138523 149842 250061 270379 277046 392953 500122 540758 785906 1750427 1892653 2750671 2974169 3500854 3785306 5501342 5948338 13248571 19254697 20819183 26497142 37582681 38509394 41638366 69487403 75165362 138974806 145734281 263078767 291468562 413409491 486411821 526157534 764361433 826818982 972823642 1528722866 1841551369 2893866437 3404882747 3683102738 5350530031 5787732874 6809765494 9658749017 10701060062 19317498034 20257065059 37453710217 40514130118 67611243119 74907420434 106246239187 135222486238 212492478374 473278701833 743723674309 946557403666 1487447348618 5206065720163 10412131440326