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320340044213541 = 3511722916578073
BaseRepresentation
bin100100011010110001111101…
…0100010101110110100100101
31120000020012122110120221100000
41020311203322202232310211
5313441422402304313131
63053150103522011513
7124321542631602522
oct11065437242566445
91500205573527300
10320340044213541
11930854a4790110
122bb180687a6b99
1310998c237aa361
1459167801d2149
152707ba66c0ce6
hex12358fa8aed25

320340044213541 has 48 divisors (see below), whose sum is σ = 523546186887360. Its totient is φ = 194118613153920.

The previous prime is 320340044213459. The next prime is 320340044213543. The reversal of 320340044213541 is 145312440043023.

320340044213541 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 40 + 0 + 442 + 135 + 41 = 666.

It is not a de Polignac number, because 320340044213541 - 214 = 320340044197157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320340044213496 and 320340044213505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320340044213543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11034081 + ... + 27612153.

It is an arithmetic number, because the mean of its divisors is an integer number (10907212226820).

Almost surely, 2320340044213541 is an apocalyptic number.

It is an amenable number.

320340044213541 is a deficient number, since it is larger than the sum of its proper divisors (203206142673819).

320340044213541 is a wasteful number, since it uses less digits than its factorization.

320340044213541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585328 (or 16585316 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 320340044213541 its reverse (145312440043023), we get a palindrome (465652484256564).

The spelling of 320340044213541 in words is "three hundred twenty trillion, three hundred forty billion, forty-four million, two hundred thirteen thousand, five hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 7229 21687 65061 79519 195183 238557 585549 715671 1756647 2147013 6441039 16578073 19323117 49734219 149202657 182358803 447607971 547076409 1342823913 1641229227 4028471739 4923687681 14771063043 44313189129 119842889717 359528669151 1078586007453 1318271786887 3235758022359 3954815360661 9707274067077 11864446081983 29121822201231 35593338245949 106780014737847 320340044213541