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14173941710416 = 2429411534948541
BaseRepresentation
bin1100111001000010000011…
…0000101011111001010000
31212012000102100221101001111
43032100200300223321100
53324211213034213131
650051230253343104
72662014326450605
oct316204060537120
955160370841044
1014173941710416
114575153644174
12170b008497a94
137ba79b701157
143700458046ac
15198a6b807ab1
hexce420c2be50

14173941710416 has 80 divisors (see below), whose sum is σ = 29104375482000. Its totient is φ = 6675127603200.

The previous prime is 14173941710393. The next prime is 14173941710437. The reversal of 14173941710416 is 61401714937141.

It can be written as a sum of positive squares in 8 ways, for example, as 5700137150016 + 8473804560400 = 2387496^2 + 2910980^2 .

It is a super-2 number, since 2×141739417104162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14173941710416.

It is a congruent number.

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, 291975106 + ... + 292023646.

It is an arithmetic number, because the mean of its divisors is an integer number (363804693525).

Almost surely, 214173941710416 is an apocalyptic number.

14173941710416 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 14173941710416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552187741000).

14173941710416 is an abundant number, since it is smaller than the sum of its proper divisors (14930433771584).

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

14173941710416 is a wasteful number, since it uses less digits than its factorization.

14173941710416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63968 (or 63962 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 14173941710416 in words is "fourteen trillion, one hundred seventy-three billion, nine hundred forty-one million, seven hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 4756 9512 15349 19024 30698 48541 61396 97082 122792 194164 245584 388328 445121 629309 776656 890242 1258618 1407689 1780484 1990181 2517236 2815378 3560968 3980362 5034472 5630756 7121936 7960724 10068944 11261512 15921448 18249961 22523024 31842896 36499922 57715249 72999844 115430498 145999688 230860996 291999376 461721992 745055809 923443984 1490111618 2980223236 5960446472 11920892944 21606618461 30547288169 43213236922 61094576338 86426473844 122189152676 172852947688 244378305352 345705895376 488756610704 885871356901 1771742713802 3543485427604 7086970855208 14173941710416