Search a number
-
+
141051340124325 = 325213714951715939
BaseRepresentation
bin100000000100100100010011…
…000001011111000010100101
3200111102101011102011111200100
4200010210103001133002211
5121441441121032434300
61215554031402334313
741465423461634631
oct4004442301370245
9614371142144610
10141051340124325
1140a415a0332454
12139a08404ba399
136092113292217
1426b8cc802bdc1
1511491080b1700
hex80491305f0a5

141051340124325 has 144 divisors (see below), whose sum is σ = 256283326728000. Its totient is φ = 74150247705600.

The previous prime is 141051340124291. The next prime is 141051340124333. The reversal of 141051340124325 is 523421043150141.

141051340124325 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 5 + 1 + 3 + 401 + 243 + 2 + 5 = 666.

It is not a de Polignac number, because 141051340124325 - 234 = 141034160255141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141051340124325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23750012206 + ... + 23750018144.

It is an arithmetic number, because the mean of its divisors is an integer number (1779745324500).

Almost surely, 2141051340124325 is an apocalyptic number.

141051340124325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141051340124325 is a deficient number, since it is larger than the sum of its proper divisors (115231986603675).

141051340124325 is a wasteful number, since it uses less digits than its factorization.

141051340124325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 141051340124325 its reverse (523421043150141), we get a palindrome (664472383274466).

The spelling of 141051340124325 in words is "one hundred forty-one trillion, fifty-one billion, three hundred forty million, one hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 149 225 411 447 685 745 1233 1341 2055 2235 3425 3725 5171 5939 6165 6705 10275 11175 15513 17817 20413 25855 29695 30825 33525 46539 53451 61239 77565 89085 102065 129275 148475 183717 232695 267255 306195 387825 445425 510325 708427 770479 813643 884911 918585 1163475 1336275 1530975 2125281 2311437 2440929 2654733 3542135 3852395 4068215 4424555 4592925 6375843 6934311 7322787 7964199 10626405 11557185 12204645 13273665 17710675 19261975 20341075 22122775 30710569 31879215 34671555 36613935 39820995 53132025 57785925 61023225 66368325 92131707 105555623 121232807 153552845 159396075 173357775 183069675 199104975 276395121 316666869 363698421 460658535 527778115 606164035 767764225 950000607 1091095263 1381975605 1583334345 1818492105 2303292675 2638890575 3030820175 4207347953 4575874781 4750003035 5455476315 6909878025 7916671725 9092460525 12622043859 13727624343 21036739765 22879373905 23750015175 27277381575 37866131577 41182873029 63110219295 68638121715 105183698825 114396869525 189330657885 205914365145 315551096475 343190608575 626894844997 946653289425 1029571825725 1880684534991 3134474224985 5642053604973 9403422674955 15672371124925 28210268024865 47017113374775 141051340124325