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340505114000 = 2453971755181
BaseRepresentation
bin1001111010001111010…
…11111011010110010000
31012112220101110000101112
410331013223323112100
521034323302122000
6420231554152452
733413014466612
oct4750753732620
91175811400345
10340505114000
11121453294a27
1255baa582728
1326156736b9c
14126a2836db2
158ccd6be235
hex4f47afb590

340505114000 has 80 divisors (see below), whose sum is σ = 831829894896. Its totient is φ = 134797824000.

The previous prime is 340505113997. The next prime is 340505114017. The reversal of 340505114000 is 411505043.

It can be written as a sum of positive squares in 8 ways, for example, as 169016365456 + 171488748544 = 411116^2 + 414112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683591 + ... + 1071590.

Almost surely, 2340505114000 is an apocalyptic number.

It is an amenable number.

340505114000 is an abundant number, since it is smaller than the sum of its proper divisors (491324780896).

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

340505114000 is a wasteful number, since it uses less digits than its factorization.

340505114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755301 (or 1755285 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 340505114000 its reverse (411505043), we get a palindrome (340916619043).

The spelling of 340505114000 in words is "three hundred forty billion, five hundred five million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9700 12125 19400 24250 38800 48500 97000 194000 1755181 3510362 7020724 8775905 14041448 17551810 28082896 35103620 43879525 70207240 87759050 140414480 170252557 175518100 219397625 340505114 351036200 438795250 681010228 702072400 851262785 877590500 1362020456 1702525570 1755181000 2724040912 3405051140 3510362000 4256313925 6810102280 8512627850 13620204560 17025255700 21281569625 34050511400 42563139250 68101022800 85126278500 170252557000 340505114000