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14375426000 = 245313659839
BaseRepresentation
bin11010110001101011…
…11001011111010000
31101002211220022020012
431120311321133100
5213420102113000
610334243134052
71016144050655
oct153065713720
941084808205
1014375426000
11610760a361
122952374328
131481328140
149a52c1c2c
15592090735
hex358d797d0

14375426000 has 160 divisors (see below), whose sum is σ = 37535097600. Its totient is φ = 5293478400.

The previous prime is 14375425997. The next prime is 14375426003. The reversal of 14375426000 is 62457341.

It is an interprime number because it is at equal distance from previous prime (14375425997) and next prime (14375426003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14375426003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17133581 + ... + 17134419.

It is an arithmetic number, because the mean of its divisors is an integer number (234594360).

Almost surely, 214375426000 is an apocalyptic number.

14375426000 is a gapful number since it is divisible by the number (10) 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 14375426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767548800).

14375426000 is an abundant number, since it is smaller than the sum of its proper divisors (23159671600).

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

14375426000 is a wasteful number, since it uses less digits than its factorization.

14375426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 14375426000 in words is "fourteen billion, three hundred seventy-five million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 659 839 1000 1040 1300 1318 1625 1678 2000 2600 2636 3250 3295 3356 4195 5200 5272 6500 6590 6712 8390 8567 10544 10907 13000 13180 13424 16475 16780 17134 20975 21814 26000 26360 32950 33560 34268 41950 42835 43628 52720 54535 65900 67120 68536 82375 83900 85670 87256 104875 109070 131800 137072 164750 167800 171340 174512 209750 214175 218140 263600 272675 329500 335600 342680 419500 428350 436280 545350 552901 659000 685360 839000 856700 872560 1070875 1090700 1105802 1318000 1363375 1678000 1713400 2141750 2181400 2211604 2726750 2764505 3426800 4283500 4362800 4423208 5453500 5529010 7187713 8567000 8846416 10907000 11058020 13822525 14375426 17134000 21814000 22116040 27645050 28750852 35938565 44232080 55290100 57501704 69112625 71877130 110580200 115003408 138225250 143754260 179692825 221160400 276450500 287508520 359385650 552901000 575017040 718771300 898464125 1105802000 1437542600 1796928250 2875085200 3593856500 7187713000 14375426000