Search a number
-
+
20322345040000 = 2754475404879
BaseRepresentation
bin1001001111011101010100…
…01010000011100010000000
32122221210112011112011202221
410213232222022003202000
510130430130312240000
6111115542331020424
74165145440451413
oct447565212034200
978853464464687
1020322345040000
116525726a77643
12234273429a714
13b455095a1cb3
1450386ccb9b7a
1525396e0cc61a
hex127baa283880

20322345040000 has 160 divisors (see below), whose sum is σ = 51667626067200. Its totient is φ = 7955980416000.

The previous prime is 20322345039977. The next prime is 20322345040033. The reversal of 20322345040000 is 4054322302.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1057561 + ... + 6462439.

It is an arithmetic number, because the mean of its divisors is an integer number (322922662920).

Almost surely, 220322345040000 is an apocalyptic number.

20322345040000 is a gapful number since it is divisible by the number (20) 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 20322345040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833813033600).

20322345040000 is an abundant number, since it is smaller than the sum of its proper divisors (31345281027200).

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

20322345040000 is an frugal number, since it uses more digits than its factorization.

20322345040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404960 (or 5404933 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 20322345040000 its reverse (4054322302), we get a palindrome (20326399362302).

The spelling of 20322345040000 in words is "twenty trillion, three hundred twenty-two billion, three hundred forty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 320 376 400 470 500 625 640 752 800 940 1000 1175 1250 1504 1600 1880 2000 2350 2500 3008 3200 3760 4000 4700 5000 5875 6016 7520 8000 9400 10000 11750 15040 16000 18800 20000 23500 29375 30080 37600 40000 47000 58750 75200 80000 94000 117500 150400 188000 235000 376000 470000 752000 940000 1880000 3760000 5404879 10809758 21619516 27024395 43239032 54048790 86478064 108097580 135121975 172956128 216195160 254029313 270243950 345912256 432390320 508058626 540487900 675609875 691824512 864780640 1016117252 1080975800 1270146565 1351219750 1729561280 2032234504 2161951600 2540293130 2702439500 3378049375 3459122560 4064469008 4323903200 5080586260 5404879000 6350732825 6756098750 8128938016 8647806400 10161172520 10809758000 12701465650 13512197500 16257876032 17295612800 20322345040 21619516000 25402931300 27024395000 31753664125 32515752064 40644690080 43239032000 50805862600 54048790000 63507328250 81289380160 86478064000 101611725200 108097580000 127014656500 158768320625 162578760320 203223450400 216195160000 254029313000 317536641250 406446900800 432390320000 508058626000 635073282500 812893801600 1016117252000 1270146565000 2032234504000 2540293130000 4064469008000 5080586260000 10161172520000 20322345040000