Base | Representation |
---|---|
bin | 1100111111111001001011… |
… | …0100100001011000000000 |
3 | 1212121021200110200020201000 |
4 | 3033332102310201120000 |
5 | 3333124121233414040 |
6 | 50221323214212000 |
7 | 3003356415543624 |
oct | 317762264413000 |
9 | 55537613606630 |
10 | 14291819435520 |
11 | 46101435367a0 |
12 | 1729a254b4000 |
13 | 7c8935ccb953 |
14 | 375a28d43184 |
15 | 19bb6a2e6130 |
hex | cff92d21600 |
14291819435520 has 640 divisors, whose sum is σ = 55613226240000. Its totient is φ = 3450143047680.
The previous prime is 14291819435441. The next prime is 14291819435527. The reversal of 14291819435520 is 2553491819241.
14291819435520 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 1 + 81 + 9 + 4 + 3 + 552 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×142918194355202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14291819435527) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181677156 + ... + 181755804.
It is an arithmetic number, because the mean of its divisors is an integer number (86895666000).
Almost surely, 214291819435520 is an apocalyptic number.
14291819435520 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 14291819435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27806613120000).
14291819435520 is an abundant number, since it is smaller than the sum of its proper divisors (41321406804480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14291819435520 is a wasteful number, since it uses less digits than its factorization.
14291819435520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78931 (or 78909 counting only the distinct ones).
The product of its (nonzero) digits is 3110400, while the sum is 54.
The spelling of 14291819435520 in words is "fourteen trillion, two hundred ninety-one billion, eight hundred nineteen million, four hundred thirty-five thousand, five hundred twenty".
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