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1431104200 = 2352173371249
BaseRepresentation
bin101010101001100…
…1110101011001000
310200201212121220021
41111103032223020
510412330313300
6354001310224
750315120311
oct12523165310
93621777807
101431104200
11674903849
1233b335374
1319a64c226
14d80cb608
158598ad1a
hex554ceac8

1431104200 has 96 divisors (see below), whose sum is σ = 3536325000. Its totient is φ = 536739840.

The previous prime is 1431104173. The next prime is 1431104201. The reversal of 1431104200 is 24011341.

It can be written as a sum of positive squares in 12 ways, for example, as 76422564 + 1354681636 = 8742^2 + 36806^2 .

It is not an unprimeable number, because it can be changed into a prime (1431104201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145176 + ... + 1146424.

Almost surely, 21431104200 is an apocalyptic number.

1431104200 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 1431104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768162500).

1431104200 is an abundant number, since it is smaller than the sum of its proper divisors (2105220800).

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

1431104200 is a wasteful number, since it uses less digits than its factorization.

1431104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1431104200 is about 37829.9378799384. The cubic root of 1431104200 is about 1126.9130774526.

Adding to 1431104200 its reverse (24011341), we get a palindrome (1455115541).

The spelling of 1431104200 in words is "one billion, four hundred thirty-one million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 337 340 425 674 680 850 1249 1348 1685 1700 2498 2696 3370 3400 4996 5729 6245 6740 8425 9992 11458 12490 13480 16850 21233 22916 24980 28645 31225 33700 42466 45832 49960 57290 62450 67400 84932 106165 114580 124900 143225 169864 212330 229160 249800 286450 420913 424660 530825 572900 841826 849320 1061650 1145800 1683652 2104565 2123300 3367304 4209130 4246600 7155521 8418260 10522825 14311042 16836520 21045650 28622084 35777605 42091300 57244168 71555210 84182600 143110420 178888025 286220840 357776050 715552100 1431104200