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540042322014 = 233131940489003
BaseRepresentation
bin1111101101111010000…
…01111110000001011110
31220121221110220102122000
413312331001332001132
532322001313301024
61052031513103130
754005515666056
oct7667501760136
91817843812560
10540042322014
111990378a2708
12887b70b7aa6
133bc05bcaa40
141c1d128a566
15e0ab1c9cc9
hex7dbd07e05e

540042322014 has 64 divisors (see below), whose sum is σ = 1360430534400. Its totient is φ = 157421239776.

The previous prime is 540042322013. The next prime is 540042322049. The reversal of 540042322014 is 410223240045.

540042322014 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 423 + 220 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540042322013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20231164 + ... + 20257839.

It is an arithmetic number, because the mean of its divisors is an integer number (21256727100).

Almost surely, 2540042322014 is an apocalyptic number.

540042322014 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

540042322014 is an abundant number, since it is smaller than the sum of its proper divisors (820388212386).

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

540042322014 is a wasteful number, since it uses less digits than its factorization.

540042322014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40489046 (or 40489040 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 540042322014 its reverse (410223240045), we get a palindrome (950265562059).

The spelling of 540042322014 in words is "five hundred forty billion, forty-two million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 40489003 80978006 121467009 242934018 364401027 526357039 728802054 769291057 1052714078 1093203081 1538582114 1579071117 2186406162 2307873171 3158142234 4615746342 4737213351 6923619513 9474426702 10000783741 13847239026 14211640053 20001567482 20770858539 28423280106 30002351223 41541717078 60004702446 90007053669 180014107338 270021161007 540042322014