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542400003340 = 225138931773943
BaseRepresentation
bin1111110010010011000…
…11110011110100001100
31220212000210022001101121
413321021203303310030
532341313400101330
61053101454250324
754121114646416
oct7711143636414
91825023261347
10542400003340
1119a037730578
12891547b69a4
133c1c04ba650
141c3764519b6
15e19819217a
hex7e498f3d0c

542400003340 has 96 divisors (see below), whose sum is σ = 1244371040640. Its totient is φ = 197393197056.

The previous prime is 542400003329. The next prime is 542400003347. The reversal of 542400003340 is 43300004245.

It is a super-2 number, since 2×5424000033402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542400003347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7298409 + ... + 7372351.

It is an arithmetic number, because the mean of its divisors is an integer number (12962198340).

Almost surely, 2542400003340 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 542400003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622185520320).

542400003340 is an abundant number, since it is smaller than the sum of its proper divisors (701971037300).

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

542400003340 is a wasteful number, since it uses less digits than its factorization.

542400003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74371 (or 74369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 542400003340 its reverse (43300004245), we get a palindrome (585700007585).

The spelling of 542400003340 in words is "five hundred forty-two billion, four hundred million, three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 317 356 445 634 890 1157 1268 1585 1780 2314 3170 4121 4628 5785 6340 8242 11570 16484 20605 23140 28213 41210 56426 73943 82420 112852 141065 147886 282130 295772 366769 369715 564260 733538 739430 961259 1467076 1478860 1833845 1922518 3667690 3845036 4806295 6580927 7335380 9612590 13161854 19225180 23439931 26323708 32904635 46879862 65809270 85552051 93759724 117199655 131618540 171104102 234399310 304719103 342208204 427760255 468798620 609438206 855520510 1218876412 1523595515 1711041020 2086153859 3047191030 4172307718 6094382060 8344615436 10430769295 20861538590 27120000167 41723077180 54240000334 108480000668 135600000835 271200001670 542400003340