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142446028941 = 32172777335261
BaseRepresentation
bin1000010010101001110…
…0011110100010001101
3111121200022100000122200
42010222130132202031
54313212140411231
6145234440432113
713201642161006
oct2045234364215
9447608300580
10142446028941
1155458084967
1223734a78639
13105815756b8
146c744301ad
153a8a83abe6
hex212a71e88d

142446028941 has 24 divisors (see below), whose sum is σ = 217937733624. Its totient is φ = 89345448960.

The previous prime is 142446028937. The next prime is 142446028979. The reversal of 142446028941 is 149820644241.

142446028941 is a `hidden beast` number, since 14 + 24 + 4 + 602 + 8 + 9 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24233148900 + 118212880041 = 155670^2 + 343821^2 .

It is not a de Polignac number, because 142446028941 - 22 = 142446028937 is a prime.

It is a super-2 number, since 2×1424460289412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142446028981) 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 23 ways as a sum of consecutive naturals, for example, 257251 + ... + 592511.

It is an arithmetic number, because the mean of its divisors is an integer number (9080738901).

Almost surely, 2142446028941 is an apocalyptic number.

It is an amenable number.

142446028941 is a deficient number, since it is larger than the sum of its proper divisors (75491704683).

142446028941 is a wasteful number, since it uses less digits than its factorization.

142446028941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338061 (or 338058 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 142446028941 in words is "one hundred forty-two billion, four hundred forty-six million, twenty-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 17 51 153 2777 8331 24993 47209 141627 335261 424881 1005783 3017349 5699437 17098311 51294933 931019797 2793059391 8379178173 15827336549 47482009647 142446028941