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240055250012440 = 235191061297702329
BaseRepresentation
bin110110100101010000110111…
…111001110100100100011000
31011110222001120010012111122221
4312211100313321310210120
5222431031123000344230
62210315505345153424
7101364263610624652
oct6645206771644430
91143861503174587
10240055250012440
116a54195044a525
1222b1039562b874
13a3c41611a01a5
14433ca43bb16d2
151cb45c44e027a
hexda5437e74918

240055250012440 has 64 divisors (see below), whose sum is σ = 569087774028000. Its totient is φ = 90882566691840.

The previous prime is 240055250012423. The next prime is 240055250012443. The reversal of 240055250012440 is 44210052550042.

240055250012440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2400552500124403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240055250012396 and 240055250012405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240055250012443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148044805 + ... + 149657524.

Almost surely, 2240055250012440 is an apocalyptic number.

240055250012440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240055250012440 is an abundant number, since it is smaller than the sum of its proper divisors (329032524015560).

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

240055250012440 is a wasteful number, since it uses less digits than its factorization.

240055250012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297703420 (or 297703416 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

The spelling of 240055250012440 in words is "two hundred forty trillion, fifty-five billion, two hundred fifty million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1061 2122 4244 5305 8488 10610 20159 21220 40318 42440 80636 100795 161272 201590 403180 806360 297702329 595404658 1190809316 1488511645 2381618632 2977023290 5656344251 5954046580 11312688502 11908093160 22625377004 28281721255 45250754008 56563442510 113126885020 226253770040 315862171069 631724342138 1263448684276 1579310855345 2526897368552 3158621710690 6001381250311 6317243421380 12002762500622 12634486842760 24005525001244 30006906251555 48011050002488 60013812503110 120027625006220 240055250012440