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14001212333440 = 27561358637611
BaseRepresentation
bin1100101110111110100101…
…0010011001110110000000
31211120111120120010212121001
43023233221102121312000
53313343440324132230
645440022415341344
72643361044124303
oct313575122316600
954514516125531
1014001212333440
114508976395752
1216a1641821854
137a7402176107
1436593b48cb3a
1519430c5730ca
hexcbbe9499d80

14001212333440 has 64 divisors (see below), whose sum is σ = 34020363874320. Its totient is φ = 5508673689600.

The previous prime is 14001212333431. The next prime is 14001212333441. The reversal of 14001212333440 is 4433321210041.

It is a happy number.

14001212333440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14001212333399 and 14001212333408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001212333441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179279766 + ... + 179357845.

Almost surely, 214001212333440 is an apocalyptic number.

14001212333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001212333440 is an abundant number, since it is smaller than the sum of its proper divisors (20019151540880).

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

14001212333440 is an equidigital number, since it uses as much as digits as its factorization.

14001212333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358637691 (or 358637679 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14001212333440 its reverse (4433321210041), we get a palindrome (18434533543481).

The spelling of 14001212333440 in words is "fourteen trillion, one billion, two hundred twelve million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3904 4880 7808 9760 19520 39040 358637611 717275222 1434550444 1793188055 2869100888 3586376110 5738201776 7172752220 11476403552 14345504440 21876894271 22952807104 28691008880 43753788542 45905614208 57382017760 87507577084 109384471355 114764035520 175015154168 218768942710 229528071040 350030308336 437537885420 700060616672 875075770840 1400121233344 1750151541680 2800242466688 3500303083360 7000606166720 14001212333440