Search a number
-
+
142145114140323 = 3374334993480821
BaseRepresentation
bin100000010100011110111101…
…000010001110111010100011
3200122021221101101221111222000
4200110132331002032322203
5122112401143204442243
61222152321451415043
741640434303445420
oct4024367502167243
9618257341844860
10142145114140323
114132344a242518
1213b38813154483
1361412c421a398
142715c0869cd47
1511677c218b5d3
hex8147bd08eea3

142145114140323 has 64 divisors (see below), whose sum is σ = 241708279680000. Its totient is φ = 80875766684160.

The previous prime is 142145114140297. The next prime is 142145114140339. The reversal of 142145114140323 is 323041411541241.

142145114140323 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 451 + 141 + 40 + 3 + 23 = 666.

It is not a de Polignac number, because 142145114140323 - 217 = 142145114009251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142145114140823) 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, 39096253 + ... + 42577073.

It is an arithmetic number, because the mean of its divisors is an integer number (3776691870000).

Almost surely, 2142145114140323 is an apocalyptic number.

142145114140323 is a deficient number, since it is larger than the sum of its proper divisors (99563165539677).

142145114140323 is a wasteful number, since it uses less digits than its factorization.

142145114140323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481769 (or 3481763 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 142145114140323 its reverse (323041411541241), we get a palindrome (465186525681564).

The spelling of 142145114140323 in words is "one hundred forty-two trillion, one hundred forty-five billion, one hundred fourteen million, one hundred forty thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 433 499 1299 1497 3031 3493 3897 4491 9093 10479 11691 13473 27279 31437 81837 94311 216067 648201 1512469 1944603 3480821 4537407 5833809 10442463 13612221 24365747 31327389 40836663 73097241 93982167 219291723 657875169 1507195493 1736929679 4521586479 5210789037 10550368451 12158507753 13564759437 15632367111 31651105353 36475523259 40694278311 46897101333 94953316059 109426569777 284859948177 328279709331 752090551007 2256271653021 5264633857049 6768814959063 15793901571147 20306444877189 47381704713441 142145114140323