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14314033014000 = 243531728399839
BaseRepresentation
bin1101000001001011111011…
…0110100110010011110000
31212200102000120102221202220
43100102332312212103300
53334010114422422000
650235435340241040
73005104040052246
oct320227666462360
955612016387686
1014314033014000
11461960251a015
1217321a4840180
137caa66180525
14376b351dc796
1519c51a5621a0
hexd04beda64f0

14314033014000 has 480 divisors, whose sum is σ = 49086158284800. Its totient is φ = 3587894988800.

The previous prime is 14314033013933. The next prime is 14314033014007. The reversal of 14314033014000 is 41033041341.

14314033014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143140330140002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314033014007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454821081 + ... + 1454830919.

It is an arithmetic number, because the mean of its divisors is an integer number (102262829760).

Almost surely, 214314033014000 is an apocalyptic number.

14314033014000 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 14314033014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24543079142400).

14314033014000 is an abundant number, since it is smaller than the sum of its proper divisors (34772125270800).

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

14314033014000 is a wasteful number, since it uses less digits than its factorization.

14314033014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10738 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14314033014000 its reverse (41033041341), we get a palindrome (14355066055341).

The spelling of 14314033014000 in words is "fourteen trillion, three hundred fourteen billion, thirty-three million, fourteen thousand".