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343413042040000 = 265415427556513
BaseRepresentation
bin100111000010101010001010…
…0011000011100110011000000
31200000220222002100121112010001
41032011110110120130303000
5330002434402230240000
63214213435032245344
7132222526214312152
oct11605242430346300
91600828070545101
10343413042040000
119a470720521319
12326238b8b40854
1311980931b3b72a
1460b33cc15aad2
1529a7e6467146a
hex138551461ccc0

343413042040000 has 140 divisors (see below), whose sum is σ = 851609464132504. Its totient is φ = 137356065792000.

The previous prime is 343413042039943. The next prime is 343413042040063. The reversal of 343413042040000 is 40240314343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 616801744 + ... + 617358256.

Almost surely, 2343413042040000 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 343413042040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425804732066252).

343413042040000 is an abundant number, since it is smaller than the sum of its proper divisors (508196422092504).

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

343413042040000 is an equidigital number, since it uses as much as digits as its factorization.

343413042040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571972 (or 571947 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 343413042040000 its reverse (40240314343), we get a palindrome (343453282354343).

The spelling of 343413042040000 in words is "three hundred forty-three trillion, four hundred thirteen billion, forty-two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 15427 20000 30854 40000 61708 77135 123416 154270 246832 308540 385675 493664 556513 617080 771350 987328 1113026 1234160 1542700 1928375 2226052 2468320 2782565 3085400 3856750 4452104 4936640 5565130 6170800 7713500 8904208 9641875 11130260 12341600 13912825 15427000 17808416 19283750 22260520 24683200 27825650 30854000 35616832 38567500 44521040 55651300 61708000 69564125 77135000 89042080 111302600 123416000 139128250 154270000 178084160 222605200 278256500 308540000 347820625 445210400 556513000 617080000 695641250 890420800 1113026000 1391282500 2226052000 2782565000 4452104000 5565130000 8585326051 11130260000 17170652102 22260520000 34341304204 42926630255 68682608408 85853260510 137365216816 171706521020 214633151275 274730433632 343413042040 429266302550 549460867264 686826084080 858532605100 1073165756375 1373652168160 1717065210200 2146331512750 2747304336320 3434130420400 4292663025500 5365828781875 6868260840800 8585326051000 10731657563750 13736521681600 17170652102000 21463315127500 34341304204000 42926630255000 68682608408000 85853260510000 171706521020000 343413042040000