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1431125000 = 23561072
BaseRepresentation
bin101010101001101…
…0011110000001000
310200201220200102122
41111103103300020
510412332000000
6354001550412
750315235044
oct12523236010
93621820378
101431125000
11674918438
1233b345408
1319a658836
14d80d5024
1585992085
hex554d3c08

1431125000 has 84 divisors (see below), whose sum is σ = 3385796505. Its totient is φ = 567100000.

The previous prime is 1431124997. The next prime is 1431125029. The reversal of 1431125000 is 5211341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 244046884 + 1187078116 = 15622^2 + 34454^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26750.

It is a self number, because there is not a number n which added to its sum of digits gives 1431125000.

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 20 ways as a sum of consecutive naturals, for example, 13374947 + ... + 13375053.

Almost surely, 21431125000 is an apocalyptic number.

1431125000 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 1431125000

1431125000 is an abundant number, since it is smaller than the sum of its proper divisors (1954671505).

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

1431125000 is an frugal number, since it uses more digits than its factorization.

1431125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1431125000 is about 37830.2127934803. The cubic root of 1431125000 is about 1126.9185370314.

Adding to 1431125000 its reverse (5211341), we get a palindrome (1436336341).

The spelling of 1431125000 in words is "one billion, four hundred thirty-one million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 625 856 1000 1070 1250 2140 2500 2675 3125 4280 5000 5350 6250 10700 11449 12500 13375 15625 21400 22898 25000 26750 31250 45796 53500 57245 62500 66875 91592 107000 114490 125000 133750 228980 267500 286225 334375 457960 535000 572450 668750 1144900 1337500 1431125 1671875 2289800 2675000 2862250 3343750 5724500 6687500 7155625 11449000 13375000 14311250 28622500 35778125 57245000 71556250 143112500 178890625 286225000 357781250 715562500 1431125000