Search a number
-
+
1450116624 = 243112746433
BaseRepresentation
bin101011001101111…
…0000011000010000
310202001122120001010
41112123300120100
510432212212444
6355521010520
750635534155
oct12633603020
93661576033
101450116624
1168460a0a0
12345783a40
131a1577c98
14da83a22c
15874942b9
hex566f0610

1450116624 has 40 divisors (see below), whose sum is σ = 4086693792. Its totient is φ = 439429120.

The previous prime is 1450116601. The next prime is 1450116671. The reversal of 1450116624 is 4266110541.

It is a junction number, because it is equal to n+sod(n) for n = 1450116591 and 1450116600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372689 + ... + 1373744.

Almost surely, 21450116624 is an apocalyptic number.

It is an amenable number.

1450116624 is an abundant number, since it is smaller than the sum of its proper divisors (2636577168).

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

1450116624 is a wasteful number, since it uses less digits than its factorization.

1450116624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746455 (or 2746449 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1450116624 is about 38080.3968466716. The cubic root of 1450116624 is about 1131.8815402101.

It can be divided in two parts, 14501 and 16624, that added together give a triangular number (31125 = T249).

The spelling of 1450116624 in words is "one billion, four hundred fifty million, one hundred sixteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2746433 5492866 8239299 10985732 16478598 21971464 30210763 32957196 43942928 60421526 65914392 90632289 120843052 131828784 181264578 241686104 362529156 483372208 725058312 1450116624