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240096897225 = 37525877481
BaseRepresentation
bin1101111110011011100…
…0111110100011001001
3211221201202200010000000
43133212320332203021
512413204301202400
6302144325433213
723226552645003
oct3374670764311
9757652603000
10240096897225
1192908491599
123a647b6b809
1319844499b73
14b8994b3373
1563a36eb600
hex37e6e3e8c9

240096897225 has 96 divisors (see below), whose sum is σ = 447332618880. Its totient is φ = 127816444800.

The previous prime is 240096897133. The next prime is 240096897251. The reversal of 240096897225 is 522798690042.

240096897225 is a `hidden beast` number, since 2 + 400 + 9 + 6 + 8 + 9 + 7 + 225 = 666.

It is not a de Polignac number, because 240096897225 - 27 = 240096897097 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 32090485 + ... + 32097965.

It is an arithmetic number, because the mean of its divisors is an integer number (4659714780).

Almost surely, 2240096897225 is an apocalyptic number.

240096897225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240096897225 is a deficient number, since it is larger than the sum of its proper divisors (207235721655).

240096897225 is an frugal number, since it uses more digits than its factorization.

240096897225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 240096897225 in words is "two hundred forty billion, ninety-six million, eight hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 587 675 729 1215 1761 2025 2187 2935 3645 5283 6075 7481 8805 10935 14675 15849 18225 22443 26415 37405 44025 47547 54675 67329 79245 112215 132075 142641 187025 201987 237735 336645 396225 427923 561075 605961 713205 1009935 1188675 1283769 1683225 1817883 2139615 3029805 3566025 4391347 5049675 5453649 6418845 9089415 10698075 13174041 15149025 16360947 21956735 27268245 32094225 39522123 45447075 65870205 81804735 109783675 118566369 136341225 197610615 329351025 355699107 409023675 592831845 988053075 1067097321 1778495535 2964159225 3201291963 5335486605 8892477675 9603875889 16006459815 26677433025 48019379445 80032299075 240096897225