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14046489450 = 2345272371913
BaseRepresentation
bin11010001010011110…
…00110101101101010
31100020220221121010000
431011033012231222
5212231400130300
610241453003430
71005041122200
oct150517065552
940226847100
1014046489450
115a58971474
122880183576
13142b138426
14973739070
15573267c00
hex3453c6b6a

14046489450 has 360 divisors, whose sum is σ = 46651832172. Its totient is φ = 3122219520.

The previous prime is 14046489439. The next prime is 14046489493. The reversal of 14046489450 is 5498464041.

14046489450 is a `hidden beast` number, since 140 + 464 + 8 + 9 + 45 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10923803289 + 3122686161 = 104517^2 + 55881^2 .

It is a super-2 number, since 2×140464894502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14046489396 and 14046489405.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7341694 + ... + 7343606.

Almost surely, 214046489450 is an apocalyptic number.

14046489450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14046489450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23325916086).

14046489450 is an abundant number, since it is smaller than the sum of its proper divisors (32605342722).

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

14046489450 is a wasteful number, since it uses less digits than its factorization.

14046489450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14046489450 in words is "fourteen billion, forty-six million, four hundred eighty-nine thousand, four hundred fifty".