Search a number
-
+
542560144132 = 2217233171094339
BaseRepresentation
bin1111110010100110001…
…10101100101100000100
31220212102221122001021001
413321103012230230010
532342130344103012
61053125414503044
754125101063246
oct7712306545404
91825387561231
10542560144132
1119a10a069736
128919a364a84
133c21772a206
141c38d81a096
15e1a7276357
hex7e531acb04

542560144132 has 48 divisors (see below), whose sum is σ = 1052352362880. Its totient is φ = 243450808832.

The previous prime is 542560144073. The next prime is 542560144177. The reversal of 542560144132 is 231441065245.

It is a super-3 number, since 3×5425601441323 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 542560144091 and 542560144100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51382 + ... + 1042957.

It is an arithmetic number, because the mean of its divisors is an integer number (21924007560).

Almost surely, 2542560144132 is an apocalyptic number.

It is an amenable number.

542560144132 is a deficient number, since it is larger than the sum of its proper divisors (509792218748).

542560144132 is a wasteful number, since it uses less digits than its factorization.

542560144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094700 (or 1094698 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 542560144132 in words is "five hundred forty-two billion, five hundred sixty million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 17 23 34 46 68 92 317 391 634 782 1268 1564 5389 7291 10778 14582 21556 29164 123947 247894 495788 1094339 2188678 4377356 18603763 25169797 37207526 50339594 74415052 100679188 346905463 427886549 693810926 855773098 1387621852 1711546196 5897392871 7978825649 11794785742 15957651298 23589571484 31915302596 135640036033 271280072066 542560144132