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14410211412030 = 23571672331763513
BaseRepresentation
bin1101000110110010001110…
…0010000100100000111110
31220000121021102001210122220
43101230203202010200332
53342044103110141110
650351543145150210
73015050321001120
oct321544342044076
956017242053586
1014410211412030
114656377739a85
12174896678b366
13806b53001215
1437b65a8a7210
1519ec99015370
hexd1b2388483e

14410211412030 has 128 divisors (see below), whose sum is σ = 39932503123968. Its totient is φ = 3259985958912.

The previous prime is 14410211412019. The next prime is 14410211412031. The reversal of 14410211412030 is 3021411201441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14410211412031) 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 63 ways as a sum of consecutive naturals, for example, 7289554 + ... + 9053066.

It is an arithmetic number, because the mean of its divisors is an integer number (311972680656).

Almost surely, 214410211412030 is an apocalyptic number.

14410211412030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410211412030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966251561984).

14410211412030 is an abundant number, since it is smaller than the sum of its proper divisors (25522291711938).

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

14410211412030 is a wasteful number, since it uses less digits than its factorization.

14410211412030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763930.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14410211412030 its reverse (3021411201441), we get a palindrome (17431622613471).

The spelling of 14410211412030 in words is "fourteen trillion, four hundred ten billion, two hundred eleven million, four hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 167 210 233 334 466 501 699 835 1002 1165 1169 1398 1631 1670 2330 2338 2505 3262 3495 3507 4893 5010 5845 6990 7014 8155 9786 11690 16310 17535 24465 35070 38911 48930 77822 116733 194555 233466 272377 389110 544754 583665 817131 1167330 1361885 1634262 1763513 2723770 3527026 4085655 5290539 8171310 8817565 10581078 12344591 17635130 24689182 26452695 37033773 52905390 61722955 74067546 123445910 185168865 294506671 370337730 410898529 589013342 821797058 883520013 1232695587 1472533355 1767040026 2054492645 2061546697 2465391174 2876289703 2945066710 4108985290 4123093394 4417600065 5752579406 6163477935 6184640091 8628869109 8835200130 10307733485 12326955870 12369280182 14381448515 17257738218 20615466970 28762897030 30923200455 43144345545 61846400910 68620054343 86288691090 137240108686 205860163029 343100271715 411720326058 480340380401 686200543430 960680760802 1029300815145 1441021141203 2058601630290 2401701902005 2882042282406 4803403804010 7205105706015 14410211412030