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14116442366336 = 271671031640531
BaseRepresentation
bin1100110101101011110110…
…0010000110000110000000
31211222112000010210001100012
43031122331202012012000
53322240433221210321
650005000515044052
72654610413213132
oct315327542060600
954875003701305
1014116442366336
1145528277789a2
1216bba3bba0628
137b5237072b2b
1436b34d0d3052
151973038b005b
hexcd6bd886180

14116442366336 has 64 divisors (see below), whose sum is σ = 28318483388160. Its totient is φ = 7009140441600.

The previous prime is 14116442366333. The next prime is 14116442366339. The reversal of 14116442366336 is 63366324461141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14116442366333) and next prime (14116442366339).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14116442366333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21718391 + ... + 22358921.

It is an arithmetic number, because the mean of its divisors is an integer number (442476302940).

Almost surely, 214116442366336 is an apocalyptic number.

14116442366336 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 14116442366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159241694080).

14116442366336 is an abundant number, since it is smaller than the sum of its proper divisors (14202041021824).

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

14116442366336 is a wasteful number, since it uses less digits than its factorization.

14116442366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641743 (or 641731 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 50.

The spelling of 14116442366336 in words is "fourteen trillion, one hundred sixteen billion, four hundred forty-two million, three hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1031 1336 2062 2672 4124 5344 8248 10688 16496 21376 32992 65984 131968 172177 344354 640531 688708 1281062 1377416 2562124 2754832 5124248 5509664 10248496 11019328 20496992 22038656 40993984 81987968 106968677 213937354 427874708 660387461 855749416 1320774922 1711498832 2641549844 3422997664 5283099688 6845995328 10566199376 13691990656 21132398752 42264797504 84529595008 110284705987 220569411974 441138823948 882277647896 1764555295792 3529110591584 7058221183168 14116442366336