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13831801040440 = 23517123143165181
BaseRepresentation
bin1100100101000111011110…
…0101100110111000111000
31210222022021222220111122201
43021101313211212320320
53303110012031243230
645230124111355544
72625212631652135
oct311216745467070
953868258814581
1013831801040440
114453041102899
121674842222bb4
13794444192686
1435b669a9d58c
1518ebe47645ca
hexc9477966e38

13831801040440 has 64 divisors (see below), whose sum is σ = 32952698976960. Its totient is φ = 5207192463360.

The previous prime is 13831801040429. The next prime is 13831801040507. The reversal of 13831801040440 is 4404010813831.

It is a self number, because there is not a number n which added to its sum of digits gives 13831801040440.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 83654650 + ... + 83819830.

It is an arithmetic number, because the mean of its divisors is an integer number (514885921515).

Almost surely, 213831801040440 is an apocalyptic number.

13831801040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13831801040440 is an abundant number, since it is smaller than the sum of its proper divisors (19120897936520).

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

13831801040440 is a wasteful number, since it uses less digits than its factorization.

13831801040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288352 (or 288348 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 13831801040440 in words is "thirteen trillion, eight hundred thirty-one billion, eight hundred one million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 123143 165181 246286 330362 492572 615715 660724 825905 985144 1231430 1321448 1651810 2093431 2462860 2808077 3303620 4186862 4925720 5616154 6607240 8373724 10467155 11232308 14040385 16747448 20934310 22464616 28080770 41868620 56161540 83737240 112323080 20340883883 40681767766 81363535532 101704419415 162727071064 203408838830 345795026011 406817677660 691590052022 813635355320 1383180104044 1728975130055 2766360208088 3457950260110 6915900520220 13831801040440