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14073078816 = 25322321110069
BaseRepresentation
bin11010001101101001…
…00010010000100000
31100022202222110212100
431012310202100200
5212310202010231
610244242530400
71005513124206
oct150664422040
940282873770
1014073078816
115a71982455
122889066a00
1314337b7b94
1497709b076
1557576b1e6
hex346d22420

14073078816 has 144 divisors (see below), whose sum is σ = 41962415040. Its totient is φ = 4465359360.

The previous prime is 14073078779. The next prime is 14073078827. The reversal of 14073078816 is 61887037041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×140730788162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392630 + ... + 1402698.

It is an arithmetic number, because the mean of its divisors is an integer number (291405660).

Almost surely, 214073078816 is an apocalyptic number.

14073078816 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 14073078816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981207520).

14073078816 is an abundant number, since it is smaller than the sum of its proper divisors (27889336224).

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

14073078816 is a wasteful number, since it uses less digits than its factorization.

14073078816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 14073078816 in words is "fourteen billion, seventy-three million, seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 211 276 288 368 414 422 552 633 736 828 844 1104 1266 1656 1688 1899 2208 2532 3312 3376 3798 4853 5064 6624 6752 7596 9706 10069 10128 14559 15192 19412 20138 20256 29118 30207 30384 38824 40276 43677 58236 60414 60768 77648 80552 87354 90621 116472 120828 155296 161104 174708 181242 231587 232944 241656 322208 349416 362484 463174 465888 483312 694761 698832 724968 926348 966624 1389522 1397664 1449936 1852696 2084283 2124559 2779044 2899872 3705392 4168566 4249118 5558088 6373677 7410784 8337132 8498236 11116176 12747354 16674264 16996472 19121031 22232352 25494708 33348528 33992944 38242062 48864857 50989416 66697056 67985888 76484124 97729714 101978832 146594571 152968248 195459428 203957664 293189142 305936496 390918856 439783713 586378284 611872992 781837712 879567426 1172756568 1563675424 1759134852 2345513136 3518269704 4691026272 7036539408 14073078816