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142444032144141 = 37132573349360617
BaseRepresentation
bin100000011000110101010101…
…111011111011001100001101
3200200100111221111220102222110
4200120311111323323030031
5122132300334212103031
61222541515053534233
742001145622531210
oct4030652573731415
9620314844812873
10142444032144141
11414291a1700aa2
1213b867361a4379
136163550b2cc60
142726483c2b777
15117046986dc46
hex818d55efb30d

142444032144141 has 64 divisors (see below), whose sum is σ = 234674736726528. Its totient is φ = 74839489118208.

The previous prime is 142444032144119. The next prime is 142444032144143. The reversal of 142444032144141 is 141441230444241.

It is a happy number.

It is not a de Polignac number, because 142444032144141 - 26 = 142444032144077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 142444032144141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142444032144143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2349872065 + ... + 2349932681.

It is an arithmetic number, because the mean of its divisors is an integer number (3666792761352).

Almost surely, 2142444032144141 is an apocalyptic number.

It is an amenable number.

142444032144141 is a deficient number, since it is larger than the sum of its proper divisors (92230704582387).

142444032144141 is a wasteful number, since it uses less digits than its factorization.

142444032144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94390.

The product of its (nonzero) digits is 196608, while the sum is 39.

Adding to 142444032144141 its reverse (141441230444241), we get a palindrome (283885262588382).

The spelling of 142444032144141 in words is "one hundred forty-two trillion, four hundred forty-four billion, thirty-two million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 39 91 257 273 771 1799 3341 5397 10023 23387 33493 60617 70161 100479 181851 234451 424319 435409 703353 788021 1272957 1306227 2364063 3047863 5516147 8607701 9143589 15578569 16548441 25823103 46735707 60253907 109049983 111900113 180761721 202521397 327149949 335700339 607564191 783300791 1417649779 2030245181 2349902373 4252949337 6090735543 14211716267 26393187353 42635148801 79179562059 184752311471 521773011517 554256934413 1565319034551 3652411080619 6783049149721 10957233241857 20349147449163 47481344048047 142444032144141