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14040354064 = 2411226932
BaseRepresentation
bin11010001001101111…
…01100110100010000
31100020111101212221111
431010313230310100
5212223312312224
610241113303104
71004635016602
oct150467546420
940214355844
1014040354064
115a55460900
12287a104a94
131429a9a919
149729bd172
15572954d94
hex344decd10

14040354064 has 45 divisors (see below), whose sum is σ = 29912129989. Its totient is φ = 6379609280.

The previous prime is 14040354061. The next prime is 14040354091. The reversal of 14040354064 is 46045304041.

The square root of 14040354064 is 118492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5760810000 + 8279544064 = 75900^2 + 90992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14040354061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5212302 + ... + 5214994.

Almost surely, 214040354064 is an apocalyptic number.

14040354064 is the 118492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14040354064

14040354064 is an abundant number, since it is smaller than the sum of its proper divisors (15871775925).

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

14040354064 is an frugal number, since it uses more digits than its factorization.

14040354064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 14040354064 in words is "fourteen billion, forty million, three hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2693 5386 10772 21544 29623 43088 59246 118492 236984 325853 473968 651706 1303412 2606824 5213648 7252249 14504498 29008996 58017992 79774739 116035984 159549478 319098956 638197912 877522129 1276395824 1755044258 3510088516 7020177032 14040354064