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334002411040000 = 28542087515069
BaseRepresentation
bin100101111110001011111111…
…1000100000110110100000000
31121210121022121022010120101011
41023330113333010012310000
5322234243414211240000
63142210331150250304
7130231610052526513
oct11374277704066400
91553538538116334
10334002411040000
119747269967518a
1231563aa37b6994
131144a3a4cc2481
145c69b35416d7a
1528932810ea2ba
hex12fc5ff106d00

334002411040000 has 90 divisors (see below), whose sum is σ = 833108476801370. Its totient is φ = 133600964352000.

The previous prime is 334002411039977. The next prime is 334002411040019. The reversal of 334002411040000 is 40114200433.

It can be written as a sum of positive squares in 5 ways, for example, as 135502264615936 + 198500146424064 = 11640544^2 + 14089008^2 .

It is a super-2 number, since 2×3340024110400002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1043597535 + ... + 1043917534.

Almost surely, 2334002411040000 is an apocalyptic number.

It is an amenable number.

334002411040000 is an abundant number, since it is smaller than the sum of its proper divisors (499106065761370).

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

334002411040000 is an frugal number, since it uses more digits than its factorization.

334002411040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087515105 (or 2087515076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 334002411040000 its reverse (40114200433), we get a palindrome (334042525240433).

The spelling of 334002411040000 in words is "three hundred thirty-four trillion, two billion, four hundred eleven million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 2087515069 4175030138 8350060276 10437575345 16700120552 20875150690 33400241104 41750301380 52187876725 66800482208 83500602760 104375753450 133600964416 167001205520 208751506900 260939383625 267201928832 334002411040 417503013800 521878767250 534403857664 668004822080 835006027600 1043757534500 1304696918125 1336009644160 1670012055200 2087515069000 2609393836250 2672019288320 3340024110400 4175030138000 5218787672500 6680048220800 8350060276000 10437575345000 13360096441600 16700120552000 20875150690000 33400241104000 41750301380000 66800482208000 83500602760000 167001205520000 334002411040000