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542423412036 = 2232112111592
BaseRepresentation
bin1111110010010101111…
…01000110110101000100
31220212002102100100002100
413321022331012311010
532341340343141121
61053104052112100
754121520633352
oct7711275066504
91825072310070
10542423412036
1119a049969900
1289160605630
133c1c52c544c
141c3795c67d2
15e19a268026
hex7e4af46d44

542423412036 has 81 divisors (see below), whose sum is σ = 1507240339423. Its totient is φ = 164356001040.

The previous prime is 542423412017. The next prime is 542423412073. The reversal of 542423412036 is 630214324245.

The square root of 542423412036 is 736494.

It is a perfect power (a square), and thus also a powerful number.

542423412036 is a `hidden beast` number, since 5 + 424 + 23 + 4 + 1 + 203 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48603025 + ... + 48614183.

Almost surely, 2542423412036 is an apocalyptic number.

542423412036 is the 736494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542423412036

542423412036 is an abundant number, since it is smaller than the sum of its proper divisors (964816927387).

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

542423412036 is a wasteful number, since it uses less digits than its factorization.

542423412036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 11175 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 542423412036 by its sum of digits (36), we get a square (19527242833296 = 44189642).

542423412036 divided by its sum of digits (36) gives a square (15067317001 = 1227492).

It can be divided in two parts, 542423 and 412036, that added together give a palindrome (954459).

The spelling of 542423412036 in words is "five hundred forty-two billion, four hundred twenty-three million, four hundred twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 11159 22318 33477 44636 66954 100431 122749 133908 200862 245498 368247 401724 490996 736494 1104741 1350239 1472988 2209482 2700478 4050717 4418964 5400956 8101434 12152151 16202868 24304302 48608604 124523281 249046562 373569843 498093124 747139686 1120709529 1369756091 1494279372 2241419058 2739512182 4109268273 4482838116 5479024364 8218536546 12327804819 15067317001 16437073092 24655609638 30134634002 45201951003 49311219276 60269268004 90403902006 135605853009 180807804012 271211706018 542423412036