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542301266540 = 225114756519281
BaseRepresentation
bin1111110010000111010…
…11001010001001101100
31220211202220111200222002
413321003223022021230
532341113111012130
61053044010111432
754115505465135
oct7710353121154
91824686450862
10542301266540
11199a96a22110
128912771b578
133c1a5bc9ac7
141c3672acc8c
15e18e68bb45
hex7e43aca26c

542301266540 has 96 divisors (see below), whose sum is σ = 1269157413888. Its totient is φ = 192949760000.

The previous prime is 542301266539. The next prime is 542301266543. The reversal of 542301266540 is 45662103245.

It is a junction number, because it is equal to n+sod(n) for n = 542301266494 and 542301266503.

It is not an unprimeable number, because it can be changed into a prime (542301266543) 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, 58426700 + ... + 58435980.

It is an arithmetic number, because the mean of its divisors is an integer number (13220389728).

Almost surely, 2542301266540 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 542301266540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634578706944).

542301266540 is an abundant number, since it is smaller than the sum of its proper divisors (726856147348).

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

542301266540 is a wasteful number, since it uses less digits than its factorization.

542301266540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14999 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 542301266540 its reverse (45662103245), we get a palindrome (587963369785).

The spelling of 542301266540 in words is "five hundred forty-two billion, three hundred one million, two hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 5651 9281 10340 11302 18562 22604 28255 37124 46405 56510 62161 92810 102091 113020 124322 185620 204182 248644 265597 310805 408364 436207 510455 531194 621610 872414 1020910 1062388 1243220 1327985 1744828 2041820 2181035 2655970 2921567 4362070 4798277 5311940 5843134 8724140 9596554 11686268 14607835 19193108 23991385 29215670 47982770 52446931 58431340 95965540 104893862 209787724 262234655 524469310 576916241 1048938620 1153832482 2307664964 2465005757 2884581205 4930011514 5769162410 9860023028 11538324820 12325028785 24650057570 27115063327 49300115140 54230126654 108460253308 135575316635 271150633270 542301266540