Search a number
-
+
141676020675 = 3452746321587
BaseRepresentation
bin1000001111110010001…
…1001000001111000011
3111112200122102112220000
42003330203020033003
54310123030130200
6145030212451043
713143602206650
oct2037443101703
9445618375800
10141676020675
11550a24692a2
122355b019a83
131048ab93ac7
146c00070c27
153a42e3a300
hex20fc8c83c3

141676020675 has 120 divisors (see below), whose sum is σ = 300585094656. Its totient is φ = 64623303360.

The previous prime is 141676020637. The next prime is 141676020679. The reversal of 141676020675 is 576020676141.

It is not a de Polignac number, because 141676020675 - 222 = 141671826371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 141676020675.

It is not an unprimeable number, because it can be changed into a prime (141676020679) by changing a digit.

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, 6552232 + ... + 6573818.

Almost surely, 2141676020675 is an apocalyptic number.

141676020675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141676020675 is an abundant number, since it is smaller than the sum of its proper divisors (158909073981).

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

141676020675 is a wasteful number, since it uses less digits than its factorization.

141676020675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22079 (or 22065 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 141676020675 in words is "one hundred forty-one billion, six hundred seventy-six million, twenty thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 463 525 567 675 945 1389 1575 2025 2315 2835 3241 4167 4725 6945 9723 11575 12501 14175 16205 20835 21587 29169 34725 37503 48615 62505 64761 81025 87507 104175 107935 145845 151109 187515 194283 243075 262521 312525 323805 437535 453327 539675 582849 729225 755545 937575 971415 1312605 1359981 1619025 1748547 2187675 2266635 2914245 3777725 4079943 4857075 6563025 6799905 8742735 9994781 11333175 12239829 14571225 20399715 29984343 33999525 43713675 49973905 61199145 69963467 89953029 101998575 149921715 209890401 249869525 269859087 305995725 349817335 449765145 629671203 749608575 809577261 1049452005 1349295435 1749086675 1889013609 2248825725 3148356015 4047886305 5247260025 5667040827 6746477175 9445068045 15741780075 20239431525 28335204135 47225340225 141676020675