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341314040000 = 265471120181
BaseRepresentation
bin1001111011101111110…
…01101111000011000000
31012121222202120201020202
410331313321233003000
521043002343240000
6420444132224332
733442036320503
oct4756771570300
91177882521222
10341314040000
1112182897200a
125619546b0a8
13262551c381b
141273c04713a
158d2970add5
hex4f77e6f0c0

341314040000 has 140 divisors (see below), whose sum is σ = 858275426448. Its totient is φ = 134601600000.

The previous prime is 341314039993. The next prime is 341314040021. The reversal of 341314040000 is 40413143.

It is a happy number.

It is a super-2 number, since 2×3413140400002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2779910 + ... + 2900090.

Almost surely, 2341314040000 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 341314040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429137713224).

341314040000 is an abundant number, since it is smaller than the sum of its proper divisors (516961386448).

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

341314040000 is an equidigital number, since it uses as much as digits as its factorization.

341314040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120284 (or 120259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 341314040000 its reverse (40413143), we get a palindrome (341354453143).

The spelling of 341314040000 in words is "three hundred forty-one billion, three hundred fourteen million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 625 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3550 4000 4544 5000 5680 7100 8000 8875 10000 11360 14200 17750 20000 22720 28400 35500 40000 44375 56800 71000 88750 113600 120181 142000 177500 240362 284000 355000 480724 568000 600905 710000 961448 1201810 1420000 1922896 2403620 2840000 3004525 3845792 4807240 6009050 7691584 8532851 9614480 12018100 15022625 17065702 19228960 24036200 30045250 34131404 38457920 42664255 48072400 60090500 68262808 75113125 85328510 96144800 120181000 136525616 150226250 170657020 192289600 213321275 240362000 273051232 300452500 341314040 426642550 480724000 546102464 600905000 682628080 853285100 961448000 1066606375 1201810000 1365256160 1706570200 2133212750 2403620000 2730512320 3413140400 4266425500 4807240000 5333031875 6826280800 8532851000 10666063750 13652561600 17065702000 21332127500 34131404000 42664255000 68262808000 85328510000 170657020000 341314040000