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20423440000 = 2754594327
BaseRepresentation
bin10011000001010101…
…001111011010000000
31221201100022020201201
4103001111033122000
5313311400040000
613214333110544
71322053242565
oct230125173200
957640266651
1020423440000
118730554837
123b5b928454
131c06335352
14dba62c86c
157e800e96a
hex4c154f680

20423440000 has 160 divisors (see below), whose sum is σ = 51716570400. Its totient is φ = 8029056000.

The previous prime is 20423439989. The next prime is 20423440027. The reversal of 20423440000 is 4432402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20423440000.

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, 4717837 + ... + 4722163.

It is an arithmetic number, because the mean of its divisors is an integer number (323228565).

Almost surely, 220423440000 is an apocalyptic number.

20423440000 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 20423440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25858285200).

20423440000 is an abundant number, since it is smaller than the sum of its proper divisors (31293130400).

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

20423440000 is an frugal number, since it uses more digits than its factorization.

20423440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 20423440000 its reverse (4432402), we get a palindrome (20427872402).

The spelling of 20423440000 in words is "twenty billion, four hundred twenty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 295 320 400 472 500 590 625 640 800 944 1000 1180 1250 1475 1600 1888 2000 2360 2500 2950 3200 3776 4000 4327 4720 5000 5900 7375 7552 8000 8654 9440 10000 11800 14750 16000 17308 18880 20000 21635 23600 29500 34616 36875 37760 40000 43270 47200 59000 69232 73750 80000 86540 94400 108175 118000 138464 147500 173080 188800 216350 236000 255293 276928 295000 346160 432700 472000 510586 540875 553856 590000 692320 865400 944000 1021172 1081750 1180000 1276465 1384640 1730800 2042344 2163500 2360000 2552930 2704375 2769280 3461600 4084688 4327000 4720000 5105860 5408750 6382325 6923200 8169376 8654000 10211720 10817500 12764650 13846400 16338752 17308000 20423440 21635000 25529300 31911625 32677504 34616000 40846880 43270000 51058600 63823250 69232000 81693760 86540000 102117200 127646500 159558125 163387520 173080000 204234400 255293000 319116250 346160000 408468800 510586000 638232500 816937600 1021172000 1276465000 2042344000 2552930000 4084688000 5105860000 10211720000 20423440000