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343130414044100 = 225229211560762239
BaseRepresentation
bin100111000000100110100011…
…0011100001101001111000100
31122222220221120112011201222012
41032001031012130031033010
5324433322041443402400
63213435534105353352
7132163232351062004
oct11601150634151704
91588827515151865
10343130414044100
119a371878377901
1232598b81498858
13119600a00c1ab7
1460a385a292004
1529a092216cd35
hex138134670d3c4

343130414044100 has 72 divisors (see below), whose sum is σ = 773919182668800. Its totient is φ = 131891278377600.

The previous prime is 343130414044043. The next prime is 343130414044123. The reversal of 343130414044100 is 1440414031343.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279769220 + ... + 280993019.

Almost surely, 2343130414044100 is an apocalyptic number.

It is an amenable number.

343130414044100 is an abundant number, since it is smaller than the sum of its proper divisors (430788768624700).

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

343130414044100 is a wasteful number, since it uses less digits than its factorization.

343130414044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560762493 (or 560762486 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 343130414044100 its reverse (1440414031343), we get a palindrome (344570828075443).

The spelling of 343130414044100 in words is "three hundred forty-three trillion, one hundred thirty billion, four hundred fourteen million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 211 290 422 580 725 844 1055 1450 2110 2900 4220 5275 6119 10550 12238 21100 24476 30595 61190 122380 152975 305950 611900 560762239 1121524478 2243048956 2803811195 5607622390 11215244780 14019055975 16262104931 28038111950 32524209862 56076223900 65048419724 81310524655 118320832429 162621049310 236641664858 325242098620 406552623275 473283329716 591604162145 813105246550 1183208324290 1626210493100 2366416648580 2958020810725 3431304140441 5916041621450 6862608280882 11832083242900 13725216561764 17156520702205 34313041404410 68626082808820 85782603511025 171565207022050 343130414044100