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13949713080 = 233457358979
BaseRepresentation
bin11001111110111011…
…11011101010111000
31100000011211211220000
430333131323222320
5212032111304310
610224114433000
71002454414302
oct147735735270
940004754800
1013949713080
115a092819a6
122853892760
131414082cc4
14964946972
155699ed4c0
hex33f77bab8

13949713080 has 160 divisors (see below), whose sum is σ = 47529622800. Its totient is φ = 3668903424.

The previous prime is 13949713079. The next prime is 13949713093. The reversal of 13949713080 is 8031794931.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 207031 + ... + 266009.

Almost surely, 213949713080 is an apocalyptic number.

13949713080 is a gapful number since it is divisible by the number (10) 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 13949713080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764811400).

13949713080 is an abundant number, since it is smaller than the sum of its proper divisors (33579909720).

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

13949713080 is a wasteful number, since it uses less digits than its factorization.

13949713080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59075 (or 59062 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13949713080 in words is "thirteen billion, nine hundred forty-nine million, seven hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 81 90 108 120 135 146 162 180 216 219 270 292 324 360 365 405 438 540 584 648 657 730 810 876 1080 1095 1314 1460 1620 1752 1971 2190 2628 2920 3240 3285 3942 4380 5256 5913 6570 7884 8760 9855 11826 13140 15768 19710 23652 26280 29565 39420 47304 58979 59130 78840 117958 118260 176937 235916 236520 294895 353874 471832 530811 589790 707748 884685 1061622 1179580 1415496 1592433 1769370 2123244 2359160 2654055 3184866 3538740 4246488 4305467 4777299 5308110 6369732 7077480 7962165 8610934 9554598 10616220 12739464 12916401 15924330 17221868 19109196 21232440 21527335 23886495 25832802 31848660 34443736 38218392 38749203 43054670 47772990 51665604 63697320 64582005 77498406 86109340 95545980 103331208 116247609 129164010 154996812 172218680 191091960 193746015 232495218 258328020 309993624 348742827 387492030 464990436 516656040 581238045 697485654 774984060 929980872 1162476090 1394971308 1549968120 1743714135 2324952180 2789942616 3487428270 4649904360 6974856540 13949713080