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642340363043246 = 271741532714583099
BaseRepresentation
bin1001001000001101001000010…
…1001010100000000110101110
310010020100010202022210002221112
42102003102011022200012232
51133143101030414340441
610154051031123032022
7252204363000055340
oct22203220512400656
93106303668702845
10642340363043246
1117674002218297a
1260061a47b0b612
13217555897bb89a
14b489621c0b290
154e3db30d714eb
hex24834852a01ae

642340363043246 has 128 divisors (see below), whose sum is σ = 1221391896883200. Its totient is φ = 247091312332800.

The previous prime is 642340363043233. The next prime is 642340363043279.

642340363043246 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6423403630432462 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642340363043194 and 642340363043203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137862605 + ... + 142445703.

It is an arithmetic number, because the mean of its divisors is an integer number (9542124194400).

Almost surely, 2642340363043246 is an apocalyptic number.

642340363043246 is a deficient number, since it is larger than the sum of its proper divisors (579051533839954).

642340363043246 is a wasteful number, since it uses less digits than its factorization.

642340363043246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583490.

The product of its (nonzero) digits is 17915904, while the sum is 50.

The spelling of 642340363043246 in words is "six hundred forty-two trillion, three hundred forty billion, three hundred sixty-three million, forty-three thousand, two hundred forty-six".

Divisors: 1 2 7 14 17 34 41 53 82 106 119 238 271 287 371 542 574 697 742 901 1394 1802 1897 2173 3794 4346 4607 4879 6307 9214 9758 11111 12614 14363 15211 22222 28726 30422 32249 36941 64498 73882 77777 100541 155554 188887 201082 244171 258587 377774 488342 517174 588883 1177766 1322209 1709197 2644418 3418394 4122181 4583099 8244362 9166198 10011011 20022022 32081693 64163386 70077077 77912683 140154154 155825366 187907059 242904247 375814118 485808494 545388781 1090777562 1242019829 1315349413 1700329729 2484039658 2630698826 3194420003 3400659458 4129372199 6388840006 8258744398 8694138803 9959074127 17388277606 19918148254 21114337093 22360940021 28905605393 42228674186 44721880042 50922812989 57811210786 65827050937 69713518889 101845625978 131654101874 139427037778 147800359651 169304260159 295600719302 338608520318 356459690923 460789356559 712919381846 865687820813 921578713118 1119059865929 1185129821113 1731375641626 2238119731858 2370259642226 2698909088417 5397818176834 6059814745691 7833419061503 12119629491382 15666838123006 18892363618919 37784727237838 45881454503089 91762909006178 321170181521623 642340363043246