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34313141120 = 275311729493
BaseRepresentation
bin11111111101001110…
…001111101110000000
310021120100020011200112
4133331032033232000
51030233131003440
623432505410452
72323211613206
oct377516175600
9107510204615
1034313141120
1113608967875
126797499a28
13330ab35acb
1419371d3076
15d5c606965
hex7fd38fb80

34313141120 has 64 divisors (see below), whose sum is σ = 84676026240. Its totient is φ = 13282498560.

The previous prime is 34313141119. The next prime is 34313141153. The reversal of 34313141120 is 2114131343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844907 + ... + 884586.

It is an arithmetic number, because the mean of its divisors is an integer number (1323062910).

Almost surely, 234313141120 is an apocalyptic number.

It is an amenable number.

34313141120 is an abundant number, since it is smaller than the sum of its proper divisors (50362885120).

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

34313141120 is a wasteful number, since it uses less digits than its factorization.

34313141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729543 (or 1729531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 34313141120 its reverse (2114131343), we get a palindrome (36427272463).

The spelling of 34313141120 in words is "thirty-four billion, three hundred thirteen million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 1729493 3458986 6917972 8647465 13835944 17294930 27671888 34589860 53614283 55343776 69179720 107228566 110687552 138359440 214457132 221375104 268071415 276718880 428914264 536142830 553437760 857828528 1072285660 1106875520 1715657056 2144571320 3431314112 4289142640 6862628224 8578285280 17156570560 34313141120