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3114007120 = 24576079161
BaseRepresentation
bin1011100110011011…
…1111101001010000
322001000112221201001
42321212333221100
522334141211440
61232555551344
7140111423650
oct27146775120
98030487631
103114007120
111358859704
1272aa5b554
133a81c0783
14217802360
151335b3b9a
hexb99bfa50

3114007120 has 80 divisors (see below), whose sum is σ = 8288898048. Its totient is φ = 1065784320.

The previous prime is 3114007097. The next prime is 3114007139. The reversal of 3114007120 is 217004113.

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

It is a congruent number.

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, 335340 + ... + 344500.

Almost surely, 23114007120 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 3114007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144449024).

3114007120 is an abundant number, since it is smaller than the sum of its proper divisors (5174890928).

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

3114007120 is a wasteful number, since it uses less digits than its factorization.

3114007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 3114007120 is about 55803.2895087736. The cubic root of 3114007120 is about 1460.2925416169.

The spelling of 3114007120 in words is "three billion, one hundred fourteen million, seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 607 1214 2428 3035 4249 4856 6070 8498 9161 9712 12140 16996 18322 21245 24280 33992 36644 42490 45805 48560 64127 67984 73288 84980 91610 128254 146576 169960 183220 256508 320635 339920 366440 513016 641270 732880 1026032 1282540 2565080 5130160 5560727 11121454 22242908 27803635 38925089 44485816 55607270 77850178 88971632 111214540 155700356 194625445 222429080 311400712 389250890 444858160 622801424 778501780 1557003560 3114007120