Search a number
-
+
463141661062741 = 19414049146834671
BaseRepresentation
bin110100101001110011001001…
…0001100000011011001010101
32020201211220120200012112000121
41221103212102030003121111
5441201103110213001431
64321004201501111541
7166360611053326033
oct15123462214033125
92221756520175017
10463141661062741
11124631303656641
1243b3bb592585b1
1316b570c068378b
148252266d33553
15388259dda8611
hex1a53992303655

463141661062741 has 16 divisors (see below), whose sum is σ = 499531554144000. Its totient is φ = 427958455795200.

The previous prime is 463141661062733. The next prime is 463141661062747. The reversal of 463141661062741 is 147260166141364.

It is a cyclic number.

It is not a de Polignac number, because 463141661062741 - 23 = 463141661062733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463141661062747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70263165 + ... + 76571506.

It is an arithmetic number, because the mean of its divisors is an integer number (31220722134000).

Almost surely, 2463141661062741 is an apocalyptic number.

463141661062741 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

463141661062741 is a deficient number, since it is larger than the sum of its proper divisors (36389893081259).

463141661062741 is a wasteful number, since it uses less digits than its factorization.

463141661062741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146838780.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 463141661062741 in words is "four hundred sixty-three trillion, one hundred forty-one billion, six hundred sixty-one million, sixty-two thousand, seven hundred forty-one".

Divisors: 1 19 41 779 4049 76931 166009 3154171 146834671 2789858749 6020221511 114384208709 594533582879 11296138074701 24375876898039 463141661062741