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2042443145142 = 232437933402727
BaseRepresentation
bin11101101110001011000…
…110010001111110110110
321020020220101010000112200
4131232023012101332312
5231430410421121032
64202141352525330
7300363434200011
oct35561306217666
97206811100480
102042443145142
117182169aaa44
1228ba0a0b0846
1311a7a882a83a
1470bd770c378
15381de20e47c
hex1db8b191fb6

2042443145142 has 48 divisors (see below), whose sum is σ = 4585526499840. Its totient is φ = 656563982256.

The previous prime is 2042443145137. The next prime is 2042443145177. The reversal of 2042443145142 is 2415413442402.

2042443145142 is a `hidden beast` number, since 2 + 0 + 42 + 4 + 431 + 45 + 142 = 666.

It is a super-2 number, since 2×20424431451422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042443145097 and 2042443145106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16640218 + ... + 16762509.

It is an arithmetic number, because the mean of its divisors is an integer number (95531802080).

Almost surely, 22042443145142 is an apocalyptic number.

2042443145142 is an abundant number, since it is smaller than the sum of its proper divisors (2543083354698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042443145142 is a wasteful number, since it uses less digits than its factorization.

2042443145142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33402857 (or 33402854 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 2042443145142 its reverse (2415413442402), we get a palindrome (4457856587544).

The spelling of 2042443145142 in words is "two trillion, forty-two billion, four hundred forty-three million, one hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 43 79 86 129 158 237 258 387 474 711 774 1422 3397 6794 10191 20382 30573 61146 33402727 66805454 100208181 200416362 300624543 601249086 1436317261 2638815433 2872634522 4308951783 5277630866 7916446299 8617903566 12926855349 15832892598 23749338897 25853710698 47498677794 113469063619 226938127238 340407190857 680814381714 1021221572571 2042443145142