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320244343442023 = 71131319858116217
BaseRepresentation
bin100100011010000101011001…
…0010101010000101001100111
31112222220001121220201000211211
41020310022302111100221213
5313433340403410121043
63053034115334212251
7124311614240505040
oct11064126225205147
91488801556630754
10320244343442023
1193048955136000
122bb015ba7b4087
131098cbb18a9bc0
145911ca21378c7
152705454b16a9d
hex12342b2550a67

320244343442023 has 128 divisors (see below), whose sum is σ = 456430756239360. Its totient is φ = 218183244364800.

The previous prime is 320244343442011. The next prime is 320244343442027.

320244343442023 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-320244343442023 is a prime.

It is a super-2 number, since 2×3202443434420232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320244343442027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19747438611 + ... + 19747454827.

It is an arithmetic number, because the mean of its divisors is an integer number (3565865283120).

Almost surely, 2320244343442023 is an apocalyptic number.

320244343442023 is a deficient number, since it is larger than the sum of its proper divisors (136186412797337).

320244343442023 is a wasteful number, since it uses less digits than its factorization.

320244343442023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24870 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

The spelling of 320244343442023 in words is "three hundred twenty trillion, two hundred forty-four billion, three hundred forty-three million, four hundred forty-two thousand, twenty-three".

Divisors: 1 7 11 13 19 77 91 121 133 143 209 247 847 1001 1331 1463 1573 1729 2299 2717 8581 9317 11011 16093 16217 17303 19019 25289 29887 60067 94391 111553 113519 121121 163039 177023 178387 209209 210821 308123 328757 660737 780871 1038301 1141273 1227083 1248709 1475747 1793429 1962257 2119507 2156861 2301299 2319031 3389353 4005599 7268107 8589581 11421311 12554003 13497913 13735799 14836549 16233217 19727719 21584827 23314577 23725471 25509341 28039193 37282883 44061589 79949177 94485391 138094033 139158077 148477043 151093789 163202039 178565387 217004909 256460347 260980181 280602751 308431123 410111713 484677479 974106539 1039339301 1519034363 1530738847 1795222429 1809055001 1964219257 2644003463 2821063817 2870781991 3392742353 5331452269 10715171929 12663385007 16838127317 18508024241 19747446719 19899605011 29084038093 34372045019 37320165883 117866891219 139297235077 185219400487 203588266651 218895655121 240604315133 319924419023 378092495209 1296535803409 1532269585847 2239470933161 2407852206331 2646647466463 3519168609253 4159017447299 16854965444317 24634180264771 29113122131093 45749191920289 320244343442023