Search a number
-
+
14340043302400 = 29521213923591
BaseRepresentation
bin1101000010101100110100…
…1011111110011000000000
31212202220011021101111201201
43100223031023332120000
53334421402041134100
650255420331110544
73010014432624664
oct320531513763000
955686137344651
1014340043302400
11462963a666732
1217372435a2454
1380034cab6b1a
143780c18108a4
1519d03dc9936a
hexd0acd2fe600

14340043302400 has 120 divisors (see below), whose sum is σ = 35557905938544. Its totient is φ = 5731282329600.

The previous prime is 14340043302329. The next prime is 14340043302407. The reversal of 14340043302400 is 420334004341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340043302407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15064605 + ... + 15988195.

Almost surely, 214340043302400 is an apocalyptic number.

14340043302400 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 14340043302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778952969272).

14340043302400 is an abundant number, since it is smaller than the sum of its proper divisors (21217862636144).

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

14340043302400 is an equidigital number, since it uses as much as digits as its factorization.

14340043302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924832 (or 924811 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14340043302400 its reverse (420334004341), we get a palindrome (14760377306741).

The spelling of 14340043302400 in words is "fourteen trillion, three hundred forty billion, forty-three million, three hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1213 1280 1600 2426 2560 3200 4852 6065 6400 9704 12130 12800 19408 24260 30325 38816 48520 60650 77632 97040 121300 155264 194080 242600 310528 388160 485200 621056 776320 923591 970400 1552640 1847182 1940800 3105280 3694364 3881600 4617955 7388728 7763200 9235910 14777456 15526400 18471820 23089775 29554912 36943640 46179550 59109824 73887280 92359100 118219648 147774560 184718200 236439296 295549120 369436400 472878592 591098240 738872800 1120315883 1182196480 1477745600 2240631766 2364392960 2955491200 4481263532 5601579415 5910982400 8962527064 11203158830 11821964800 17925054128 22406317660 28007897075 35850108256 44812635320 56015794150 71700216512 89625270640 112031588300 143400433024 179250541280 224063176600 286800866048 358501082560 448126353200 573601732096 717002165120 896252706400 1434004330240 1792505412800 2868008660480 3585010825600 7170021651200 14340043302400