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405142005044142 = 232971223189730249
BaseRepresentation
bin101110000011110010111100…
…1010010110101001110101110
31222010111012022220220220210100
41130013211321102311032232
5411100321311242403032
63553355400120251530
7151223354365434522
oct13407457122651656
91863435286826710
10405142005044142
111080aa8398a9673
1239533299910ba6
131450a95b6c6252
147208d98a2bd82
1531c8a175cd97c
hex17079794b53ae

405142005044142 has 48 divisors (see below), whose sum is σ = 887582394972000. Its totient is φ = 133545809120256.

The previous prime is 405142005044093. The next prime is 405142005044143. The reversal of 405142005044142 is 241440500241504.

405142005044142 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 4 + 2 + 0 + 0 + 504 + 4 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 405142005044097 and 405142005044106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405142005044143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92729767 + ... + 97000482.

It is an arithmetic number, because the mean of its divisors is an integer number (18491299895250).

Almost surely, 2405142005044142 is an apocalyptic number.

405142005044142 is an abundant number, since it is smaller than the sum of its proper divisors (482440389927858).

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

405142005044142 is a wasteful number, since it uses less digits than its factorization.

405142005044142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189731577 (or 189731574 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 405142005044142 its reverse (241440500241504), we get a palindrome (646582505285646).

The spelling of 405142005044142 in words is "four hundred five trillion, one hundred forty-two billion, five million, forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1223 1746 2446 3669 7338 11007 22014 118631 237262 355893 711786 1067679 2135358 189730249 379460498 569190747 1138381494 1707572241 3415144482 18403834153 36807668306 55211502459 110423004918 165634507377 232040094527 331269014754 464080189054 696120283581 1392240567162 2088360850743 4176721701486 22507889169119 45015778338238 67523667507357 135047335014714 202571002522071 405142005044142