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14001214320 = 2432519446131
BaseRepresentation
bin11010000101000100…
…11001001101110000
31100010202202101022100
431002202121031300
5212133302324240
610233154340400
71003651233552
oct150242311560
940122671270
1014001214320
115a35358605
122868b8a700
131421945802
1496b7114d2
1556e2c2e30
hex342899370

14001214320 has 60 divisors (see below), whose sum is σ = 47020747176. Its totient is φ = 3733656960.

The previous prime is 14001214301. The next prime is 14001214321. The reversal of 14001214320 is 2341210041.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14001214293 and 14001214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001214321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9722346 + ... + 9723785.

Almost surely, 214001214320 is an apocalyptic number.

14001214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001214320 is an abundant number, since it is smaller than the sum of its proper divisors (33019532856).

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

14001214320 is a wasteful number, since it uses less digits than its factorization.

14001214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19446150 (or 19446141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14001214320 its reverse (2341210041), we get a palindrome (16342424361).

The spelling of 14001214320 in words is "fourteen billion, one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19446131 38892262 58338393 77784524 97230655 116676786 155569048 175015179 194461310 233353572 291691965 311138096 350030358 388922620 466707144 583383930 700060716 777845240 875075895 933414288 1166767860 1400121432 1555690480 1750151790 2333535720 2800242864 3500303580 4667071440 7000607160 14001214320