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145552340051041 = 72111932695878861
BaseRepresentation
bin100001000110000100001011…
…100001100110010001100001
3201002100200000211121110102211
4201012010023201212101201
5123034212143023113131
61233321453311442121
742441544450024600
oct4106041341462141
9632320024543384
10145552340051041
1142417445465230
12143a9028226341
13632a6b041b421
1427d2ab12bda37
1511c623c8695b1
hex84610b866461

145552340051041 has 96 divisors (see below), whose sum is σ = 186694131899520. Its totient is φ = 112206147379200.

The previous prime is 145552340051039. The next prime is 145552340051057. The reversal of 145552340051041 is 140150043255541.

It is not a de Polignac number, because 145552340051041 - 21 = 145552340051039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145552340050985 and 145552340051003.

It is not an unprimeable number, because it can be changed into a prime (145552340051141) 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 95 ways as a sum of consecutive naturals, for example, 16426170951 + ... + 16426179811.

It is an arithmetic number, because the mean of its divisors is an integer number (1944730540620).

Almost surely, 2145552340051041 is an apocalyptic number.

145552340051041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145552340051041 is a deficient number, since it is larger than the sum of its proper divisors (41141791848479).

145552340051041 is a wasteful number, since it uses less digits than its factorization.

145552340051041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 145552340051041 in words is "one hundred forty-five trillion, five hundred fifty-two billion, three hundred forty million, fifty-one thousand, forty-one".

Divisors: 1 7 11 49 77 193 269 539 587 1351 1883 2123 2959 4109 6457 8861 9457 13181 14861 20713 28763 45199 51917 62027 97471 104027 113291 144991 157903 316393 363419 434189 571087 682297 793037 1105321 1246201 1710173 1736933 2383609 2543933 3997609 4776079 5201407 5551259 7737247 8723407 11971211 12158531 16685263 18811903 26219699 27983263 30475279 36409849 57215477 61063849 83798477 85109717 116796841 131683321 183537893 213326953 254868943 335228069 400508339 460036537 921783247 1003871551 1284765251 1399178483 1493288671 2346596483 2803558373 3220255759 5060401907 7027100857 9794249381 11042587061 15390963313 16426175381 22541790313 35422813349 49189705999 68559745667 77298109427 107736743191 247959693443 270041447219 541086765989 754157202337 1890290130533 2970455919409 13232030913731 20793191435863 145552340051041