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1424066416 = 241913135759
BaseRepresentation
bin101010011100001…
…1000011101110000
310200020122001212121
41110320120131300
510404030111131
6353150404024
750201236063
oct12470303560
93606561777
101424066416
116709371a3
12338b00614
13199056a66
14d71b88da
158504a911
hex54e18770

1424066416 has 40 divisors (see below), whose sum is σ = 2926598400. Its totient is φ = 669389760.

The previous prime is 1424066401. The next prime is 1424066417. The reversal of 1424066416 is 6146604241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424066417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21945 + ... + 57703.

It is an arithmetic number, because the mean of its divisors is an integer number (73164960).

Almost surely, 21424066416 is an apocalyptic number.

1424066416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463299200).

1424066416 is an abundant number, since it is smaller than the sum of its proper divisors (1502531984).

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

1424066416 is a wasteful number, since it uses less digits than its factorization.

1424066416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35917 (or 35911 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1424066416 is about 37736.8045282056. The cubic root of 1424066416 is about 1125.0627562687.

It can be divided in two parts, 14240 and 66416, that added together give a square (80656 = 2842).

The spelling of 1424066416 in words is "one billion, four hundred twenty-four million, sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 524 1048 2096 2489 4978 9956 19912 35759 39824 71518 143036 286072 572144 679421 1358842 2717684 4684429 5435368 9368858 10870736 18737716 37475432 74950864 89004151 178008302 356016604 712033208 1424066416