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334131140323000 = 235319715711079629
BaseRepresentation
bin100101111111000111111011…
…1111011010110011010111000
31121211001121212122222200222101
41023332033313323112122320
5322243401033410314000
63142345420553433144
7130244115066424546
oct11376176773263270
91554047778880871
10334131140323000
1197512247a27879
1231584a2aa0b7b4
131145957b842847
145c72067c24d96
1528967b7604e6a
hex12fe3f7ed66b8

334131140323000 has 128 divisors (see below), whose sum is σ = 786336677755200. Its totient is φ = 132889251264000.

The previous prime is 334131140322989. The next prime is 334131140323067. The reversal of 334131140323000 is 323041131433.

It is a super-2 number, since 2×3341311403230002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334131140323000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308947186 + ... + 310026814.

Almost surely, 2334131140323000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334131140323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393168338877600).

334131140323000 is an abundant number, since it is smaller than the sum of its proper divisors (452205537432200).

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

334131140323000 is a wasteful number, since it uses less digits than its factorization.

334131140323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081418 (or 1081404 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 334131140323000 its reverse (323041131433), we get a palindrome (334454181454433).

The spelling of 334131140323000 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, one hundred forty million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 788 985 1000 1571 1576 1970 3142 3940 4925 6284 7855 7880 9850 12568 15710 19700 24625 31420 39275 39400 49250 62840 78550 98500 157100 196375 197000 309487 314200 392750 618974 785500 1079629 1237948 1547435 1571000 2159258 2475896 3094870 4318516 5398145 6189740 7737175 8637032 10796290 12379480 15474350 21592580 26990725 30948700 38685875 43185160 53981450 61897400 77371750 107962900 134953625 154743500 212686913 215925800 269907250 309487000 425373826 539814500 850747652 1063434565 1079629000 1696097159 1701495304 2126869130 3392194318 4253738260 5317172825 6784388636 8480485795 8507476520 10634345650 13568777272 16960971590 21268691300 26585864125 33921943180 42402428975 42537382600 53171728250 67843886360 84804857950 106343456500 169609715900 212012144875 212686913000 334131140323 339219431800 424024289750 668262280646 848048579500 1336524561292 1670655701615 1696097159000 2673049122584 3341311403230 6682622806460 8353278508075 13365245612920 16706557016150 33413114032300 41766392540375 66826228064600 83532785080750 167065570161500 334131140323000