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14012312020 = 2257167739811
BaseRepresentation
bin11010000110011001…
…01110100111010100
31100011112122012111021
431003030232213110
5212144122441040
610234232250524
71004144454430
oct150314564724
940145565437
1014012312020
115a40648463
122870840a44
13142402cbb5
1496cd9d9c0
1557026624a
hex34332e9d4

14012312020 has 96 divisors (see below), whose sum is σ = 33918474240. Its totient is φ = 4763111040.

The previous prime is 14012311991. The next prime is 14012312047. The reversal of 14012312020 is 2021321041.

14012312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14012311985 and 14012312003.

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 31 ways as a sum of consecutive naturals, for example, 17277415 + ... + 17278225.

It is an arithmetic number, because the mean of its divisors is an integer number (353317440).

Almost surely, 214012312020 is an apocalyptic number.

14012312020 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 14012312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959237120).

14012312020 is an abundant number, since it is smaller than the sum of its proper divisors (19906162220).

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

14012312020 is a wasteful number, since it uses less digits than its factorization.

14012312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14012312020 its reverse (2021321041), we get a palindrome (16033633061).

The spelling of 14012312020 in words is "fourteen billion, twelve million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 739 811 835 1169 1478 1622 1670 2338 2956 3244 3340 3695 4055 4676 5173 5677 5845 7390 8110 10346 11354 11690 14780 16220 20692 22708 23380 25865 28385 51730 56770 103460 113540 123413 135437 246826 270874 493652 541748 599329 617065 677185 863891 948059 1198658 1234130 1354370 1727782 1896118 2397316 2468260 2708740 2996645 3455564 3792236 4195303 4319455 4740295 5993290 8390606 8638910 9480590 11986580 16781212 17277820 18961180 20976515 41953030 83906060 100087943 200175886 400351772 500439715 700615601 1000879430 1401231202 2001758860 2802462404 3503078005 7006156010 14012312020