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14032042034320 = 2451073674466641
BaseRepresentation
bin1100110000110001011011…
…1000011000010010010000
31211200110011010122221121101
43030030112320120102100
53314400110230044240
645502121531034144
72645532040221202
oct314142670302220
954613133587541
1014032042034320
11451aa56a06292
1216a760659b954
137aa2a63bcb7b
14367223b94772
15195013e3e39a
hexcc316e18490

14032042034320 has 80 divisors (see below), whose sum is σ = 33019132854528. Its totient is φ = 5545208494080.

The previous prime is 14032042034303. The next prime is 14032042034363. The reversal of 14032042034320 is 2343024023041.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908200 + ... + 5374840.

Almost surely, 214032042034320 is an apocalyptic number.

14032042034320 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 14032042034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509566427264).

14032042034320 is an abundant number, since it is smaller than the sum of its proper divisors (18987090820208).

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

14032042034320 is a wasteful number, since it uses less digits than its factorization.

14032042034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467128 (or 4467122 counting only the distinct ones).

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

Adding to 14032042034320 its reverse (2343024023041), we get a palindrome (16375066057361).

The spelling of 14032042034320 in words is "fourteen trillion, thirty-two billion, forty-two million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 367 428 535 734 856 1070 1468 1712 1835 2140 2936 3670 4280 5872 7340 8560 14680 29360 39269 78538 157076 196345 314152 392690 628304 785380 1570760 3141520 4466641 8933282 17866564 22333205 35733128 44666410 71466256 89332820 178665640 357331280 477930587 955861174 1639257247 1911722348 2389652935 3278514494 3823444696 4779305870 6557028988 7646889392 8196286235 9558611740 13114057976 16392572470 19117223480 26228115952 32785144940 38234446960 65570289880 131140579760 175400525429 350801050858 701602101716 877002627145 1403204203432 1754005254290 2806408406864 3508010508580 7016021017160 14032042034320