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542441263041412 = 2273735639619829
BaseRepresentation
bin111101101010110001111001…
…0110010111000101110000100
32122010121212201021121120021221
41323111203302302320232010
51032044324201314311122
65201402024233250124
7222154042113502000
oct17325436262705604
92563555637546257
10542441263041412
11147925058632839
1250a08901563944
131a389cb777ac87
1497d44237b5700
1542aa21e8176c7
hex1ed58f2cb8b84

542441263041412 has 96 divisors (see below), whose sum is σ = 1124181029664000. Its totient is φ = 228882951472896.

The previous prime is 542441263041397. The next prime is 542441263041481. The reversal of 542441263041412 is 214140362144245.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51577914 + ... + 61197742.

It is an arithmetic number, because the mean of its divisors is an integer number (11710219059000).

Almost surely, 2542441263041412 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 542441263041412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562090514832000).

542441263041412 is an abundant number, since it is smaller than the sum of its proper divisors (581739766622588).

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

542441263041412 is a wasteful number, since it uses less digits than its factorization.

542441263041412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620490 (or 9620474 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 542441263041412 in words is "five hundred forty-two trillion, four hundred forty-one billion, two hundred sixty-three million, forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 343 511 563 686 1022 1126 1372 2044 2252 3577 3941 7154 7882 14308 15764 25039 27587 41099 50078 55174 82198 100156 110348 164396 193109 287693 386218 575386 772436 1150772 2013851 4027702 8055404 9619829 14096957 19239658 28193914 38479316 56387828 67338803 134677606 269355212 471371621 702247517 942743242 1404495034 1885486484 2808990068 3299601347 4915732619 5415963727 6599202694 9831465238 10831927454 13198405388 19662930476 21663854908 34410128333 37911746089 68820256666 75823492178 137640513332 151646984356 240870898331 265382222623 395365352071 481741796662 530764445246 790730704142 963483593324 1061528890492 1581461408284 1857675558361 2767557464497 3715351116722 5535114928994 7430702233444 11070229857988 19372902251479 38745804502958 77491609005916 135610315760353 271220631520706 542441263041412