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14004520000 = 26541918427
BaseRepresentation
bin11010000101011110…
…00000010001000000
31100010222222022211221
431002233000101000
5212140124120000
610233353244424
71004021312242
oct150257002100
940128868757
1014004520000
115a37206179
12286a103714
131422532333
1496bd32092
1556e72761a
hex342bc0440

14004520000 has 140 divisors (see below), whose sum is σ = 36556360720. Its totient is φ = 5306688000.

The previous prime is 14004519989. The next prime is 14004520009. The reversal of 14004520000 is 2540041.

It is a super-2 number, since 2×140045200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14004520009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 750787 + ... + 769213.

Almost surely, 214004520000 is an apocalyptic number.

14004520000 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 14004520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278180360).

14004520000 is an abundant number, since it is smaller than the sum of its proper divisors (22551840720).

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

14004520000 is an equidigital number, since it uses as much as digits as its factorization.

14004520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18478 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 14004520000 in words is "fourteen billion, four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 15200 18427 19000 20000 23750 30400 36854 38000 40000 47500 73708 76000 92135 95000 147416 152000 184270 190000 294832 350113 368540 380000 460675 589664 700226 737080 760000 921350 1179328 1400452 1474160 1750565 1842700 2303375 2800904 2948320 3501130 3685400 4606750 5601808 5896640 7002260 7370800 8752825 9213500 11203616 11516875 14004520 14741600 17505650 18427000 22407232 23033750 28009040 29483200 35011300 36854000 43764125 46067500 56018080 70022600 73708000 87528250 92135000 112036160 140045200 147416000 175056500 184270000 218820625 280090400 350113000 368540000 437641250 560180800 700226000 737080000 875282500 1400452000 1750565000 2800904000 3501130000 7002260000 14004520000