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542405640345 = 35831812407001
BaseRepresentation
bin1111110010010011110…
…01010100000010011001
31220212001011220102220120
413321021321110002121
532341321320442340
61053102215143453
754121213605012
oct7711171240231
91825034812816
10542405640345
1119a03a930758
1289156674b89
133c1c171235a
141c3770bc009
15e1989074d0
hex7e49e54099

542405640345 has 32 divisors (see below), whose sum is σ = 883157917824. Its totient is φ = 284218560000.

The previous prime is 542405640319. The next prime is 542405640347. The reversal of 542405640345 is 543046504245.

It is a happy number.

It is not a de Polignac number, because 542405640345 - 26 = 542405640281 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542405640297 and 542405640306.

It is not an unprimeable number, because it can be changed into a prime (542405640347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978156 + ... + 1428845.

It is an arithmetic number, because the mean of its divisors is an integer number (27598684932).

Almost surely, 2542405640345 is an apocalyptic number.

It is an amenable number.

542405640345 is a deficient number, since it is larger than the sum of its proper divisors (340752277479).

542405640345 is a wasteful number, since it uses less digits than its factorization.

542405640345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407273.

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 542405640345 in words is "five hundred forty-two billion, four hundred five million, six hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 15 83 181 249 415 543 905 1245 2715 15023 45069 75115 225345 2407001 7221003 12035005 36105015 199781083 435667181 599343249 998905415 1307001543 2178335905 2996716245 6535007715 36160376023 108481128069 180801880115 542405640345