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1424312500 = 2256131753
BaseRepresentation
bin101010011100101…
…0100100010110100
310200021002120102211
41110321110202310
510404111000000
6353155543204
750203312402
oct12471244264
93607076384
101424312500
11670a95076
12338bbab04
13199111a80
14d7240472
15850987ba
hex54e548b4

1424312500 has 84 divisors (see below), whose sum is σ = 3357222652. Its totient is φ = 525600000.

The previous prime is 1424312471. The next prime is 1424312537. The reversal of 1424312500 is 52134241.

It can be written as a sum of positive squares in 14 ways, for example, as 510217744 + 914094756 = 22588^2 + 30234^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 811624 + ... + 813376.

Almost surely, 21424312500 is an apocalyptic number.

1424312500 is a gapful number since it is divisible by the number (10) 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 1424312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678611326).

1424312500 is an abundant number, since it is smaller than the sum of its proper divisors (1932910152).

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

1424312500 is an equidigital number, since it uses as much as digits as its factorization.

1424312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1424312500 is about 37740.0649178032. The cubic root of 1424312500 is about 1125.1275575529.

Adding to 1424312500 its reverse (52134241), we get a palindrome (1476446741).

The spelling of 1424312500 in words is "one billion, four hundred twenty-four million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 1753 2500 3125 3250 3506 6250 6500 7012 8125 8765 12500 15625 16250 17530 22789 31250 32500 35060 40625 43825 45578 62500 81250 87650 91156 113945 162500 175300 203125 219125 227890 406250 438250 455780 569725 812500 876500 1095625 1139450 2191250 2278900 2848625 4382500 5478125 5697250 10956250 11394500 14243125 21912500 27390625 28486250 54781250 56972500 71215625 109562500 142431250 284862500 356078125 712156250 1424312500