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14215211051552 = 257412835469341
BaseRepresentation
bin1100111011011011110010…
…0110101110101000100000
31212022221221111111010020122
43032312330212232220200
53330400223012122202
650122213334455412
72665005116200460
oct316667446565040
955287844433218
1014215211051552
114590701059a75
121717005504568
137c1647745834
1437203c7d1ba0
15199b849759a2
hexcedbc9aea20

14215211051552 has 96 divisors (see below), whose sum is σ = 32880108933504. Its totient is φ = 5922638899200.

The previous prime is 14215211051551. The next prime is 14215211051597. The reversal of 14215211051552 is 25515011251241.

It is a happy number.

It is a super-2 number, since 2×142152110515522 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14215211051551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135599 + ... + 5333742.

It is an arithmetic number, because the mean of its divisors is an integer number (342501134724).

Almost surely, 214215211051552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14215211051552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440054466752).

14215211051552 is an abundant number, since it is smaller than the sum of its proper divisors (18664897881952).

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

14215211051552 is a wasteful number, since it uses less digits than its factorization.

14215211051552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469682 (or 5469674 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 35.

The spelling of 14215211051552 in words is "fourteen trillion, two hundred fifteen billion, two hundred eleven million, fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 283 287 328 566 574 656 1132 1148 1312 1981 2264 2296 3962 4528 4592 7924 9056 9184 11603 15848 23206 31696 46412 63392 81221 92824 162442 185648 324884 371296 649768 1299536 2599072 5469341 10938682 21877364 38285387 43754728 76570774 87509456 153141548 175018912 224242981 306283096 448485962 612566192 896971924 1225132384 1547823503 1569700867 1793943848 3095647006 3139401734 3587887696 6191294012 6278803468 7175775392 10834764521 12382588024 12557606936 21669529042 24765176048 25115213872 43339058084 49530352096 50230427744 63460763623 86678116168 126921527246 173356232336 253843054492 346712464672 444225345361 507686108984 888450690722 1015372217968 1776901381444 2030744435936 3553802762888 7107605525776 14215211051552