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14033213434000 = 245313275287571
BaseRepresentation
bin1100110000110101110010…
…1100111010100010010000
31211200120011202212012212201
43030031130230322202100
53314410010114342000
645502434054132544
72645603053030465
oct314153454724220
954616152765781
1014033213434000
1145204a81581a2
1216a7892951154
137aa431cac487
143672d559b66c
15195081bca96a
hexcc35cb3a890

14033213434000 has 80 divisors (see below), whose sum is σ = 33957887198976. Its totient is φ = 5609054256000.

The previous prime is 14033213433991. The next prime is 14033213434049. The reversal of 14033213434000 is 43431233041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14033213434000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10215 + ... + 5297785.

Almost surely, 214033213434000 is an apocalyptic number.

14033213434000 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 14033213434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978943599488).

14033213434000 is an abundant number, since it is smaller than the sum of its proper divisors (19924673764976).

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

14033213434000 is a wasteful number, since it uses less digits than its factorization.

14033213434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288921 (or 5288905 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 14033213434000 its reverse (43431233041), we get a palindrome (14076644667041).

The spelling of 14033213434000 in words is "fourteen trillion, thirty-three billion, two hundred thirteen million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1327 2000 2654 5308 6635 10616 13270 21232 26540 33175 53080 66350 106160 132700 165875 265400 331750 530800 663500 1327000 2654000 5287571 10575142 21150284 26437855 42300568 52875710 84601136 105751420 132189275 211502840 264378550 423005680 528757100 660946375 1057514200 1321892750 2115028400 2643785500 5287571000 7016606717 10575142000 14033213434 28066426868 35083033585 56132853736 70166067170 112265707472 140332134340 175415167925 280664268680 350830335850 561328537360 701660671700 877075839625 1403321343400 1754151679250 2806642686800 3508303358500 7016606717000 14033213434000