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2014354080 = 253257091973
BaseRepresentation
bin111100000010000…
…1001101010100000
312012101100210022200
41320010021222200
513111133312310
6531514333200
7100626504264
oct17004115240
95171323280
102014354080
11944061042
1248272a200
132614319bb
141517540a4
15bbc9a9c0
hex78109aa0

2014354080 has 144 divisors (see below), whose sum is σ = 6887167560. Its totient is φ = 536131584.

The previous prime is 2014354079. The next prime is 2014354091. The reversal of 2014354080 is 804534102.

2014354080 is a `hidden beast` number, since 2 + 0 + 1 + 43 + 540 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 935625744 + 1078728336 = 30588^2 + 32844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20143540802 = 8115244719225292800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019974 + ... + 1021946.

Almost surely, 22014354080 is an apocalyptic number.

2014354080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443583780).

2014354080 is an abundant number, since it is smaller than the sum of its proper divisors (4872813480).

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

2014354080 is a wasteful number, since it uses less digits than its factorization.

2014354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2014354080 is about 44881.5561227549. The cubic root of 2014354080 is about 1262.9280354992.

Adding to 2014354080 its reverse (804534102), we get a palindrome (2818888182).

The spelling of 2014354080 in words is "two billion, fourteen million, three hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 709 720 1418 1440 1973 2127 2836 3545 3946 4254 5672 5919 6381 7090 7892 8508 9865 10635 11344 11838 12762 14180 15784 17016 17757 19730 21270 22688 23676 25524 28360 29595 31568 31905 34032 35514 39460 42540 47352 51048 56720 59190 63136 63810 68064 71028 78920 85080 88785 94704 102096 113440 118380 127620 142056 157840 170160 177570 189408 204192 236760 255240 284112 315680 340320 355140 473520 510480 568224 710280 947040 1020960 1398857 1420560 2797714 2841120 4196571 5595428 6994285 8393142 11190856 12589713 13988570 16786284 20982855 22381712 25179426 27977140 33572568 41965710 44763424 50358852 55954280 62948565 67145136 83931420 100717704 111908560 125897130 134290272 167862840 201435408 223817120 251794260 335725680 402870816 503588520 671451360 1007177040 2014354080