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1424412500 = 2255773223
BaseRepresentation
bin101010011100110…
…1100111101010100
310200021021122121112
41110321230331110
510404122200000
6353202034152
750204210060
oct12471547524
93607248545
101424412500
11671053215
12339048958
13199148444
14d7268aa0
15850b8235
hex54e6cf54

1424412500 has 144 divisors (see below), whose sum is σ = 3625767936. Its totient is φ = 479520000.

The previous prime is 1424412499. The next prime is 1424412527. The reversal of 1424412500 is 52144241.

It is a super-3 number, since 3×14244125003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6387389 + ... + 6387611.

It is an arithmetic number, because the mean of its divisors is an integer number (25178944).

Almost surely, 21424412500 is an apocalyptic number.

1424412500 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 1424412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812883968).

1424412500 is an abundant number, since it is smaller than the sum of its proper divisors (2201355436).

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

1424412500 is an equidigital number, since it uses as much as digits as its factorization.

1424412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1424412500 is about 37741.3897465369. The cubic root of 1424412500 is about 1125.1538884137.

Adding to 1424412500 its reverse (52144241), we get a palindrome (1476556741).

The spelling of 1424412500 in words is "one billion, four hundred twenty-four million, four hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 125 140 146 175 223 250 292 350 365 446 500 511 625 700 730 875 892 1022 1115 1250 1460 1561 1750 1825 2044 2230 2500 2555 3122 3125 3500 3650 4375 4460 5110 5575 6244 6250 7300 7805 8750 9125 10220 11150 12500 12775 15610 16279 17500 18250 21875 22300 25550 27875 31220 32558 36500 39025 43750 45625 51100 55750 63875 65116 78050 81395 87500 91250 111500 113953 127750 139375 156100 162790 182500 195125 227906 228125 255500 278750 319375 325580 390250 406975 455812 456250 557500 569765 638750 696875 780500 813950 912500 975625 1139530 1277500 1393750 1596875 1627900 1951250 2034875 2279060 2787500 2848825 3193750 3902500 4069750 4878125 5697650 6387500 8139500 9756250 10174375 11395300 14244125 19512500 20348750 28488250 40697500 50871875 56976500 71220625 101743750 142441250 203487500 284882500 356103125 712206250 1424412500