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142094720281801 = 7217210929192
BaseRepresentation
bin100000010011110000000001…
…010100111010110011001001
3200122010010022101000021000111
4200103300001110322303021
5122111034441343004201
61222113225140234321
741634001426640200
oct4023600124726311
9618103271007014
10142094720281801
114130403a219761
1213b2aaaa39b9a1
1361396229a95a1
1427135c7926237
151166322e47b51
hex813c0153acc9

142094720281801 has 81 divisors (see below), whose sum is σ = 177407708579829. Its totient is φ = 113455783800576.

The previous prime is 142094720281793. The next prime is 142094720281849. The reversal of 142094720281801 is 108182027490241.

The square root of 142094720281801 is 11920349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32412583172025 + 109682137109776 = 5693205^2 + 10472924^2 .

It is not a de Polignac number, because 142094720281801 - 23 = 142094720281793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (142094720281201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 154618846420 + ... + 154618847338.

Almost surely, 2142094720281801 is an apocalyptic number.

142094720281801 is the 11920349-th square number.

142094720281801 is the 5960175-th centered octagonal number.

It is an amenable number.

142094720281801 is a deficient number, since it is larger than the sum of its proper divisors (35312988298028).

142094720281801 is an frugal number, since it uses more digits than its factorization.

142094720281801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

142094720281801 divided by its sum of digits (49) gives a square (2899892250649 = 17029072).

The spelling of 142094720281801 in words is "one hundred forty-two trillion, ninety-four billion, seven hundred twenty million, two hundred eighty-one thousand, eight hundred one".

Divisors: 1 7 17 49 109 119 289 763 833 919 1853 2023 5341 6433 11881 12971 14161 15623 31501 45031 83167 90797 100171 109361 201977 220507 265591 582169 701197 765527 844561 1413839 1543549 1702907 1859137 3433609 4908379 5911927 9896873 10918639 11920349 13013959 14357537 24035263 28949419 41383489 76430473 83442443 92057149 100502759 168246841 185616863 202645933 244078129 535013311 644400043 703519313 1299318041 1418521531 1564971533 1708546903 3155486671 4510800301 9095226287 10034229241 10954800731 11959828321 22088406697 26604516061 70239604687 76683605117 154618846879 170581897097 186231612427 491677232809 1194073279679 1303621286989 2899892250649 8358512957753 20299245754543 142094720281801