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540234212320 = 25511306951257
BaseRepresentation
bin1111101110010000111…
…01111110001111100000
31220122102211222110122101
413313020131332033200
532322344424243240
61052102530020144
754013336016035
oct7671035761740
91818384873571
10540234212320
11199126146740
128884b417654
133bc368a59ba
141c20c95b38c
15e0bce8139a
hex7dc877e3e0

540234212320 has 48 divisors (see below), whose sum is σ = 1392330906288. Its totient is φ = 196448803840.

The previous prime is 540234212311. The next prime is 540234212327. The reversal of 540234212320 is 23212432045.

It is a super-2 number, since 2×5402342123202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540234212327) 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 7 ways as a sum of consecutive naturals, for example, 153473869 + ... + 153477388.

It is an arithmetic number, because the mean of its divisors is an integer number (29006893881).

Almost surely, 2540234212320 is an apocalyptic number.

It is an amenable number.

540234212320 is an abundant number, since it is smaller than the sum of its proper divisors (852096693968).

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

540234212320 is a wasteful number, since it uses less digits than its factorization.

540234212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306951283 (or 306951275 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 540234212320 its reverse (23212432045), we get a palindrome (563446644365).

The spelling of 540234212320 in words is "five hundred forty billion, two hundred thirty-four million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 306951257 613902514 1227805028 1534756285 2455610056 3069512570 3376463827 4911220112 6139025140 6752927654 9822440224 12278050280 13505855308 16882319135 24556100560 27011710616 33764638270 49112201120 54023421232 67529276540 108046842464 135058553080 270117106160 540234212320