Search a number
-
+
14022443440000 = 2754283361871
BaseRepresentation
bin1100110000001101101011…
…0000101001011110000000
31211122112101012012211120001
43030003122300221132000
53314220431010040000
645453453243525344
72645042135424202
oct314033260513600
954575335184501
1014022443440000
114516980837306
1216a5787b29854
137a9406916a68
14366993080772
15194b5142146a
hexcc0dac29780

14022443440000 has 160 divisors (see below), whose sum is σ = 34920882865440. Its totient is φ = 5606906880000.

The previous prime is 14022443439937. The next prime is 14022443440073. The reversal of 14022443440000 is 4434422041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226609065 + ... + 226670935.

It is an arithmetic number, because the mean of its divisors is an integer number (218255517909).

Almost surely, 214022443440000 is an apocalyptic number.

14022443440000 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 14022443440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460441432720).

14022443440000 is an abundant number, since it is smaller than the sum of its proper divisors (20898439425440).

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

14022443440000 is an frugal number, since it uses more digits than its factorization.

14022443440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64738 (or 64711 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14022443440000 its reverse (4434422041), we get a palindrome (14026877862041).

The spelling of 14022443440000 in words is "fourteen trillion, twenty-two billion, four hundred forty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 2833 3200 4000 5000 5666 8000 10000 11332 14165 16000 20000 22664 28330 40000 45328 56660 61871 70825 80000 90656 113320 123742 141650 181312 226640 247484 283300 309355 354125 362624 453280 494968 566600 618710 708250 906560 989936 1133200 1237420 1416500 1546775 1770625 1813120 1979872 2266400 2474840 2833000 3093550 3541250 3959744 4532800 4949680 5666000 6187100 7082500 7733875 7919488 9065600 9899360 11332000 12374200 14165000 15467750 19798720 22664000 24748400 28330000 30935500 38669375 39597440 45328000 49496800 56660000 61871000 77338750 98993600 113320000 123742000 154677500 175280543 197987200 226640000 247484000 309355000 350561086 494968000 618710000 701122172 876402715 989936000 1237420000 1402244344 1752805430 2474840000 2804488688 3505610860 4382013575 4949680000 5608977376 7011221720 8764027150 11217954752 14022443440 17528054300 21910067875 22435909504 28044886880 35056108600 43820135750 56089773760 70112217200 87640271500 109550339375 112179547520 140224434400 175280543000 219100678750 280448868800 350561086000 438201357500 560897737600 701122172000 876402715000 1402244344000 1752805430000 2804488688000 3505610860000 7011221720000 14022443440000