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540385200234 = 232116143444281
BaseRepresentation
bin1111101110100010111…
…01111100100001101010
31220122211101002110010100
413313101131330201222
532323202102401414
61052125522130230
754020151262035
oct7672135744152
91818741073110
10540385200234
111991a33a3140
1288891ab0976
133bc5bc5c469
141c224a2201c
15e0cb358609
hex7dd177c86a

540385200234 has 48 divisors (see below), whose sum is σ = 1277484908544. Its totient is φ = 163726065600.

The previous prime is 540385200193. The next prime is 540385200253. The reversal of 540385200234 is 432002583045.

540385200234 is a `hidden beast` number, since 5 + 40 + 385 + 2 + 0 + 0 + 234 = 666.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 994174 + ... + 1438454.

It is an arithmetic number, because the mean of its divisors is an integer number (26614268928).

Almost surely, 2540385200234 is an apocalyptic number.

540385200234 is an abundant number, since it is smaller than the sum of its proper divisors (737099708310).

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

540385200234 is a wasteful number, since it uses less digits than its factorization.

540385200234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450443 (or 450440 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 540385200234 its reverse (432002583045), we get a palindrome (972387783279).

The spelling of 540385200234 in words is "five hundred forty billion, three hundred eighty-five million, two hundred thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 6143 12286 18429 36858 55287 67573 110574 135146 202719 405438 444281 608157 888562 1216314 1332843 2665686 3998529 4887091 7997058 9774182 14661273 29322546 43983819 87967638 2729218183 5458436366 8187654549 16375309098 24562963647 30021400013 49125927294 60042800026 90064200039 180128400078 270192600117 540385200234