Search a number
-
+
141620044464 = 24331033182759
BaseRepresentation
bin1000001111100100110…
…1100110001010110000
3111112112202002122222000
42003321031212022300
54310014212410324
6145020453014000
713142322342003
oct2037115461260
9445482078860
10141620044464
1155073906568
1223544324300
131047c3c54a2
146bd685d53a
153a3d07e9c9
hex20f93662b0

141620044464 has 80 divisors (see below), whose sum is σ = 410448729600. Its totient is φ = 46748349504.

The previous prime is 141620044463. The next prime is 141620044477. The reversal of 141620044464 is 464440026141.

141620044464 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 200 + 4 + 446 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141620044463) 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 15 ways as a sum of consecutive naturals, for example, 1546884 + ... + 1635875.

It is an arithmetic number, because the mean of its divisors is an integer number (5130609120).

Almost surely, 2141620044464 is an apocalyptic number.

It is an amenable number.

141620044464 is an abundant number, since it is smaller than the sum of its proper divisors (268828685136).

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

141620044464 is a wasteful number, since it uses less digits than its factorization.

141620044464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182879 (or 3182867 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 141620044464 in words is "one hundred forty-one billion, six hundred twenty million, forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 3182759 6365518 9548277 12731036 19096554 25462072 28644831 38193108 50924144 57289662 76386216 85934493 114579324 152772432 171868986 229158648 327824177 343737972 458317296 655648354 687475944 983472531 1311296708 1374951888 1966945062 2622593416 2950417593 3933890124 5245186832 5900835186 7867780248 8851252779 11801670372 15735560496 17702505558 23603340744 35405011116 47206681488 70810022232 141620044464