Search a number
-
+
540055421344 = 25293132035861
BaseRepresentation
bin1111101101111011100…
…11111100000110100000
31220121222101112221112101
413312331303330012200
532322013141440334
61052033101540144
754006035224405
oct7667563740640
91817871487471
10540055421344
1119904422a3aa
12887bb574654
133bc0883621a
141c1d2cda2ac
15e0ac416214
hex7dbdcfc1a0

540055421344 has 96 divisors (see below), whose sum is σ = 1135926167040. Its totient is φ = 252184396800.

The previous prime is 540055421299. The next prime is 540055421363. The reversal of 540055421344 is 443124550045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92140974 + ... + 92146834.

It is an arithmetic number, because the mean of its divisors is an integer number (11832564240).

Almost surely, 2540055421344 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 540055421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567963083520).

540055421344 is an abundant number, since it is smaller than the sum of its proper divisors (595870745696).

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

540055421344 is a wasteful number, since it uses less digits than its factorization.

540055421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 540055421344 its reverse (443124550045), we get a palindrome (983179971389).

The spelling of 540055421344 in words is "five hundred forty billion, fifty-five million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3203 3596 5861 6406 7192 11722 12812 14384 23444 25624 28768 46888 51248 92887 93776 99293 102496 169969 181691 185774 187552 198586 339938 363382 371548 397172 679876 726764 743096 794344 1359752 1453528 1486192 1588688 2719504 2879497 2907056 2972384 3177376 5269039 5439008 5758994 5814112 10538078 11517988 18772783 21076156 23035976 37545566 42152312 46071952 75091132 84304624 92143904 150182264 168609248 300364528 544410707 581956273 600729056 1088821414 1163912546 2177642828 2327825092 4355285656 4655650184 8710571312 9311300368 16876731917 17421142624 18622600736 33753463834 67506927668 135013855336 270027710672 540055421344