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14453115480 = 2332540147543
BaseRepresentation
bin11010111010111100…
…10000101001011000
31101022021002100011100
431131132100221120
5214044444143410
610350100231400
71021106311626
oct153536205130
941267070140
1014453115480
116147452641
12297439b560
13149445994b
149b1746516
15598cd98c0
hex35d790a58

14453115480 has 48 divisors (see below), whose sum is σ = 46972626480. Its totient is φ = 3854164032.

The previous prime is 14453115463. The next prime is 14453115487. The reversal of 14453115480 is 8451135441.

14453115480 is a `hidden beast` number, since 1 + 44 + 531 + 1 + 5 + 4 + 80 = 666.

14453115480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14453115487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20073412 + ... + 20074131.

It is an arithmetic number, because the mean of its divisors is an integer number (978596385).

Almost surely, 214453115480 is an apocalyptic number.

14453115480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14453115480 is an abundant number, since it is smaller than the sum of its proper divisors (32519511000).

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

14453115480 is a wasteful number, since it uses less digits than its factorization.

14453115480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40147560 (or 40147553 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14453115480 in words is "fourteen billion, four hundred fifty-three million, one hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 40147543 80295086 120442629 160590172 200737715 240885258 321180344 361327887 401475430 481770516 602213145 722655774 802950860 963541032 1204426290 1445311548 1605901720 1806639435 2408852580 2890623096 3613278870 4817705160 7226557740 14453115480