Search a number
-
+
14310210030320 = 245833442962597
BaseRepresentation
bin1101000000111101101011…
…1111000100101011110000
31212200001011010211021001202
43100033122333010223300
53333424302231432240
650234004132350332
73004610226166241
oct320173277045360
955601133737052
1014310210030320
114617a2054a876
1217314b84753a8
137ca5a71298c9
143768915a6cc8
1519c394b06315
hexd03dafc4af0

14310210030320 has 80 divisors (see below), whose sum is σ = 33673612563360. Its totient is φ = 5654864550912.

The previous prime is 14310210030313. The next prime is 14310210030409. The reversal of 14310210030320 is 2303001201341.

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

It is a super-2 number, since 2×143102100303202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14310210030292 and 14310210030301.

It is a congruent number.

It is an unprimeable number.

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, 228577262 + ... + 228639858.

It is an arithmetic number, because the mean of its divisors is an integer number (420920157042).

Almost surely, 214310210030320 is an apocalyptic number.

14310210030320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14310210030320 is an abundant number, since it is smaller than the sum of its proper divisors (19363402533040).

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

14310210030320 is a wasteful number, since it uses less digits than its factorization.

14310210030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97122 (or 97116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14310210030320 its reverse (2303001201341), we get a palindrome (16613211231661).

The spelling of 14310210030320 in words is "fourteen trillion, three hundred ten billion, two hundred ten million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 34429 62597 68858 125194 137716 172145 250388 275432 312985 344290 500776 550864 625970 688580 1001552 1251940 1377160 2503880 2754320 2857607 5007760 5195551 5715214 10391102 11430428 14288035 20782204 22860856 25977755 28576070 41564408 45721712 51955510 57152140 83128816 103911020 114304280 207822040 228608560 415644080 2155152113 4310304226 8620608452 10775760565 17241216904 21551521130 34482433808 43103042260 86206084520 172412169040 178877625379 357755250758 715510501516 894388126895 1431021003032 1788776253790 2862042006064 3577552507580 7155105015160 14310210030320