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142276040672241 = 37176144914550817
BaseRepresentation
bin100000010110011000111000…
…110111010100001111110001
3200122202110022220022110102210
4200112120320313110033301
5122122022312403002431
61222332413305402333
741653050630554130
oct4026307067241761
9618673286273383
10142276040672241
1141373a25915803
1213b5a0721993a9
13615075b047b48
14271c2a8c2d917
15116add651cd46
hex816638dd43f1

142276040672241 has 64 divisors (see below), whose sum is σ = 233837465587200. Its totient is φ = 75096179343360.

The previous prime is 142276040672201. The next prime is 142276040672257.

It is a happy number.

142276040672241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142276040672241 - 29 = 142276040671729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142276040672201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2502465 + ... + 17053281.

It is an arithmetic number, because the mean of its divisors is an integer number (3653710399800).

Almost surely, 2142276040672241 is an apocalyptic number.

It is an amenable number.

142276040672241 is a deficient number, since it is larger than the sum of its proper divisors (91561424914959).

142276040672241 is a wasteful number, since it uses less digits than its factorization.

142276040672241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551354.

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 142276040672241 in words is "one hundred forty-two trillion, two hundred seventy-six billion, forty million, six hundred seventy-two thousand, two hundred forty-one".

Divisors: 1 3 7 17 21 51 61 119 183 357 427 449 1037 1281 1347 3111 3143 7259 7633 9429 21777 22899 27389 53431 82167 160293 191723 465613 575169 1396839 3259291 9777873 14550817 43652451 101855719 247363889 305567157 742091667 887599837 1731547223 2662799511 5194641669 6213198859 6533316833 15089197229 18639596577 19599950499 45267591687 45733217831 105624380603 111066386161 137199653493 316873141809 333199158483 398532326813 777464703127 1195596980439 2332394109381 2789726287691 6775049555821 8369178863073 20325148667463 47425346890747 142276040672241