Search a number
-
+
540335241455451 = 313349431781711783
BaseRepresentation
bin111101011011011101001101…
…0001000000110011101011011
32121212011112201000110010000220
41322312322122020012131123
51031310323033303033301
65153110325541531123
7221545634665414131
oct17266723210063533
92555145630403026
10540335241455451
11147192986322232
125072870b113aa3
131a266519021170
149760518277751
15427055db51936
hex1eb6e9a20675b

540335241455451 has 64 divisors (see below), whose sum is σ = 780060376166400. Its totient is φ = 330721561912320.

The previous prime is 540335241455419. The next prime is 540335241455453. The reversal of 540335241455451 is 154554142533045.

It is not a de Polignac number, because 540335241455451 - 25 = 540335241455419 is a prime.

It is a super-2 number, since 2×5403352414554512 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540335241455394 and 540335241455403.

It is not an unprimeable number, because it can be changed into a prime (540335241455453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45857181706 + ... + 45857193488.

It is an arithmetic number, because the mean of its divisors is an integer number (12188443377600).

Almost surely, 2540335241455451 is an apocalyptic number.

540335241455451 is a deficient number, since it is larger than the sum of its proper divisors (239725134710949).

540335241455451 is a wasteful number, since it uses less digits than its factorization.

540335241455451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20396.

The product of its (nonzero) digits is 14400000, while the sum is 51.

Adding to 540335241455451 its reverse (154554142533045), we get a palindrome (694889383988496).

The spelling of 540335241455451 in words is "five hundred forty trillion, three hundred thirty-five billion, two hundred forty-one million, four hundred fifty-five thousand, four hundred fifty-one".

Divisors: 1 3 13 39 349 431 1047 1293 4537 5603 7817 11783 13611 16809 23451 35349 101621 150419 153179 304863 451257 459537 1955447 2728133 3369127 4112267 5078473 5866341 8184399 10107381 12336801 15235419 35465729 43798651 53459471 66020149 92107711 106397187 131395953 160378413 198060447 276323133 1175825323 1197400243 1772387077 3527475969 3592200729 5317161231 15285729199 23041032001 32145591139 39698423441 45857187597 69123096003 96436773417 119095270323 417892684807 516079504733 1253678054421 1548238514199 13854749780909 41564249342727 180111747151817 540335241455451