Search a number
-
+
13954446935808 = 283411627272383
BaseRepresentation
bin1100101100010000010111…
…0110100100011100000000
31211102000212101210112020220
43023010011312210130000
53312112201403421213
645402330122503040
72640114126606201
oct313040566443400
954360771715226
1013954446935808
1144a005855a2a5
121694570064a80
137a2b8b59b9b2
143635825935a8
15192ec1b63e23
hexcb105da4700

13954446935808 has 144 divisors (see below), whose sum is σ = 38068536016896. Its totient is φ = 4535225671680.

The previous prime is 13954446935777. The next prime is 13954446935827. The reversal of 13954446935808 is 80853964445931.

It is a super-2 number, since 2×139544469358082 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 51094785 + ... + 51367167.

Almost surely, 213954446935808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13954446935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034268008448).

13954446935808 is an abundant number, since it is smaller than the sum of its proper divisors (24114089081088).

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

13954446935808 is a wasteful number, since it uses less digits than its factorization.

13954446935808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274070 (or 274056 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 69.

The spelling of 13954446935808 in words is "thirteen trillion, nine hundred fifty-four billion, four hundred forty-six million, nine hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1627 1968 2624 3254 3936 4881 5248 6508 7872 9762 10496 13016 15744 19524 26032 31488 39048 52064 66707 78096 104128 133414 156192 200121 208256 266828 272383 312384 400242 416512 533656 544766 624768 800484 817149 1067312 1089532 1249536 1600968 1634298 2134624 2179064 3201936 3268596 4269248 4358128 6403872 6537192 8538496 8716256 11167703 12807744 13074384 17076992 17432512 22335406 25615488 26148768 33503109 34865024 44670812 51230976 52297536 67006218 69730048 89341624 104595072 134012436 178683248 209190144 268024872 357366496 443167141 536049744 714732992 886334282 1072099488 1329501423 1429465984 1772668564 2144198976 2659002846 2858931968 3545337128 4288397952 5318005692 7090674256 8576795904 10636011384 14181348512 18169852781 21272022768 28362697024 36339705562 42544045536 54509558343 56725394048 72679411124 85088091072 109019116686 113450788096 145358822248 170176182144 218038233372 290717644496 340352364288 436076466744 581435288992 872152933488 1162870577984 1744305866976 2325741155968 3488611733952 4651482311936 6977223467904 13954446935808