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10441201140 = 22325311871183
BaseRepresentation
bin10011011100101100…
…00001010111110100
3222221122221222022100
421232112001113310
5132340421414030
64444023102100
7516512513436
oct115626012764
928848858270
1010441201140
114478870a57
1220348a1930
13ca5226236
147109b0656
154119ae360
hex26e5815f4

10441201140 has 72 divisors (see below), whose sum is σ = 32693326848. Its totient is φ = 2694502080.

The previous prime is 10441201123. The next prime is 10441201181. The reversal of 10441201140 is 4110214401.

10441201140 is a `hidden beast` number, since 10 + 441 + 201 + 14 + 0 = 666.

10441201140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930012 + ... + 941171.

It is an arithmetic number, because the mean of its divisors is an integer number (454073984).

Almost surely, 210441201140 is an apocalyptic number.

10441201140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441201140 is an abundant number, since it is smaller than the sum of its proper divisors (22252125708).

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

10441201140 is a wasteful number, since it uses less digits than its factorization.

10441201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871229 (or 1871224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10441201140 its reverse (4110214401), we get a palindrome (14551415541).

The spelling of 10441201140 in words is "ten billion, four hundred forty-one million, two hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 1871183 3742366 5613549 7484732 9355915 11227098 16840647 18711830 22454196 28067745 33681294 37423660 56135490 58006673 67362588 84203235 112270980 116013346 168406470 174020019 232026692 290033365 336812940 348040038 522060057 580066730 696080076 870100095 1044120114 1160133460 1740200190 2088240228 2610300285 3480400380 5220600570 10441201140