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13841542656 = 29333132299
BaseRepresentation
bin11001110010000010…
…10010111000000000
31022201122022012222000
430321001102320000
5211321413331111
610205252144000
71000002112524
oct147101227000
938648265860
1013841542656
11596320a957
122823608000
1313c783b636
14954429d84
15560282c56
hex339052e00

13841542656 has 160 divisors (see below), whose sum is σ = 42294912000. Its totient is φ = 4464875520.

The previous prime is 13841542633. The next prime is 13841542697. The reversal of 13841542656 is 65624514831.

13841542656 is a `hidden beast` number, since 1 + 3 + 8 + 41 + 542 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412395 + ... + 444693.

It is an arithmetic number, because the mean of its divisors is an integer number (264343200).

Almost surely, 213841542656 is an apocalyptic number.

13841542656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13841542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147456000).

13841542656 is an abundant number, since it is smaller than the sum of its proper divisors (28453369344).

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

13841542656 is an equidigital number, since it uses as much as digits as its factorization.

13841542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32357 (or 32335 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 13841542656 in words is "thirteen billion, eight hundred forty-one million, five hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13392 13824 15872 17856 23808 26784 32299 35712 47616 53568 64598 71424 96897 107136 129196 142848 193794 214272 258392 290691 387588 428544 516784 581382 775176 872073 1001269 1033568 1162764 1550352 1744146 2002538 2067136 2325528 3003807 3100704 3488292 4005076 4134272 4651056 6007614 6201408 6976584 8010152 8268544 9011421 9302112 12015228 12402816 13953168 16020304 16537088 18022842 18604224 24030456 24805632 27034263 27906336 32040608 36045684 37208448 48060912 49611264 54068526 55812672 64081216 72091368 74416896 96121824 108137052 111625344 128162432 144182736 148833792 192243648 216274104 223250688 256324864 288365472 384487296 432548208 446501376 512649728 576730944 768974592 865096416 1153461888 1537949184 1730192832 2306923776 3460385664 4613847552 6920771328 13841542656