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542032346340 = 223256756237993
BaseRepresentation
bin1111110001100111010…
…01010011110011100100
31220211002011111010210200
413320303221103303210
532340040240040330
61053001202150500
754106031632212
oct7706351236344
91824064433720
10542032346340
11199969146411
1289071652430
133c162291624
141c33d6a9cb2
15e175c6ba60
hex7e33a53ce4

542032346340 has 144 divisors (see below), whose sum is σ = 1669210128768. Its totient is φ = 142341484032.

The previous prime is 542032346291. The next prime is 542032346347. The reversal of 542032346340 is 43643230245.

542032346340 is a `hidden beast` number, since 54 + 203 + 23 + 46 + 340 = 666.

It is a super-2 number, since 2×5420323463402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 542032346295 and 542032346304.

It is not an unprimeable number, because it can be changed into a prime (542032346347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67809384 + ... + 67817376.

Almost surely, 2542032346340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542032346340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834605064384).

542032346340 is an abundant number, since it is smaller than the sum of its proper divisors (1127177782428).

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

542032346340 is a wasteful number, since it uses less digits than its factorization.

542032346340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698 (or 13693 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 542032346340 its reverse (43643230245), we get a palindrome (585675576585).

The spelling of 542032346340 in words is "five hundred forty-two billion, thirty-two million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 5623 6030 7993 11246 12060 15986 16869 22492 23979 28115 31972 33738 39965 47958 50607 56230 67476 71937 79930 84345 95916 101214 112460 119895 143874 159860 168690 202428 239790 253035 287748 337380 359685 376741 479580 506070 535531 719370 753482 1012140 1071062 1130223 1438740 1506964 1606593 1883705 2142124 2260446 2677655 3213186 3390669 3767410 4520892 4819779 5355310 5651115 6426372 6781338 7534820 8032965 9639558 10710620 11302230 13562676 16065930 16953345 19279116 22604460 24098895 32131860 33906690 44944639 48197790 67813380 89889278 96395580 134833917 179778556 224723195 269667834 404501751 449446390 539335668 674169585 809003502 898892780 1348339170 1618007004 2022508755 2696678340 3011290813 4045017510 6022581626 8090035020 9033872439 12045163252 15056454065 18067744878 27101617317 30112908130 36135489756 45169362195 54203234634 60225816260 90338724390 108406469268 135508086585 180677448780 271016173170 542032346340