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141513360525 = 34521710933761
BaseRepresentation
bin1000001111001011011…
…0101000010010001101
3111112021022100120010000
42003302312220102031
54304304410014100
6145002122234513
713136555501055
oct2036266502215
9445238316100
10141513360525
115501966a319
1223514655a39
13104632815b4
146bc660c565
153a33a09900
hex20f2da848d

141513360525 has 120 divisors (see below), whose sum is σ = 277878971304. Its totient is φ = 70950297600.

The previous prime is 141513360449. The next prime is 141513360581. The reversal of 141513360525 is 525063315141.

141513360525 is a `hidden beast` number, since 1 + 4 + 15 + 1 + 33 + 605 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 946854441 + 140566506084 = 30771^2 + 374922^2 .

It is not a de Polignac number, because 141513360525 - 28 = 141513360269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141513360525.

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 119 ways as a sum of consecutive naturals, for example, 37624645 + ... + 37628405.

Almost surely, 2141513360525 is an apocalyptic number.

141513360525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141513360525 is a deficient number, since it is larger than the sum of its proper divisors (136365610779).

141513360525 is a wasteful number, since it uses less digits than its factorization.

141513360525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 141513360525 its reverse (525063315141), we get a palindrome (666576675666).

The spelling of 141513360525 in words is "one hundred forty-one billion, five hundred thirteen million, three hundred sixty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 405 425 459 675 765 1093 1275 1377 2025 2295 3279 3761 3825 5465 6885 9837 11283 11475 16395 18581 18805 27325 29511 33849 34425 49185 55743 56415 63937 81975 88533 92905 94025 101547 147555 167229 169245 191811 245925 278715 282075 304641 319685 442665 464525 501687 507735 575433 737775 836145 846225 959055 1393575 1505061 1523205 1598425 1726299 2213325 2508435 2538675 2877165 4110773 4180725 4795275 5178897 7525305 7616025 8631495 12332319 12542175 14385825 20553865 25894485 36996957 37626525 43157475 61661595 69883141 102769325 110990871 129472425 184984785 209649423 308307975 332972613 349415705 554954355 628948269 924923925 1048247115 1664863065 1747078525 1886844807 2774771775 3144741345 5241235575 5660534421 8324315325 9434224035 15723706725 28302672105 47171120175 141513360525