Search a number
-
+
1351126215441 = 36171031058479
BaseRepresentation
bin10011101010010101011…
…001011110101100010001
311210011111022100022000000
4103222111121132230101
5134114101302343231
62512410535520213
7166421111224152
oct23522531365421
94704438308000
101351126215441
11481011585602
12199a35529069
139a545296322
14495756bd929
152522c5cd6e6
hex13a9565eb11

1351126215441 has 56 divisors (see below), whose sum is σ = 2165751694080. Its totient is φ = 839533942656.

The previous prime is 1351126215431. The next prime is 1351126215451. The reversal of 1351126215441 is 1445126211531.

1351126215441 is a `hidden beast` number, since 1 + 3 + 51 + 1 + 2 + 62 + 1 + 544 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1351126215431) and next prime (1351126215451).

It is not a de Polignac number, because 1351126215441 - 25 = 1351126215409 is a prime.

It is a super-3 number, since 3×13511262154413 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1351126215396 and 1351126215405.

It is not an unprimeable number, because it can be changed into a prime (1351126215431) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 747240 + ... + 1805718.

Almost surely, 21351126215441 is an apocalyptic number.

It is an amenable number.

1351126215441 is a deficient number, since it is larger than the sum of its proper divisors (814625478639).

1351126215441 is a wasteful number, since it uses less digits than its factorization.

1351126215441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058617 (or 1058602 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 1351126215441 in words is "one trillion, three hundred fifty-one billion, one hundred twenty-six million, two hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 51 81 103 153 243 309 459 729 927 1377 1751 2781 4131 5253 8343 12393 15759 25029 47277 75087 141831 425493 1058479 1276479 3175437 9526311 17994143 28578933 53982429 85736799 109023337 161947287 257210397 327070011 485841861 771631191 981210033 1457525583 1853396729 2943630099 4372576749 5560190187 8830890297 13117730247 16680570561 26492670891 50041711683 79478012673 150125135049 450375405147 1351126215441