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1430141000 = 23538916069
BaseRepresentation
bin101010100111110…
…0011100001001000
310200200001200122012
41111033203201020
510412104003000
6353524515052
750303666201
oct12517434110
93620050565
101430141000
11674306112
1233ab4ba88
1319a3a29a2
14d7d1a5a8
158584a735
hex553e3848

1430141000 has 64 divisors (see below), whose sum is σ = 3384342000. Its totient is φ = 565593600.

The previous prime is 1430140993. The next prime is 1430141021. The reversal of 1430141000 is 1410341.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18335524 + 1411805476 = 4282^2 + 37574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80966 + ... + 97034.

Almost surely, 21430141000 is an apocalyptic number.

1430141000 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 1430141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692171000).

1430141000 is an abundant number, since it is smaller than the sum of its proper divisors (1954201000).

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

1430141000 is a wasteful number, since it uses less digits than its factorization.

1430141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1430141000 is about 37817.2050791700. The cubic root of 1430141000 is about 1126.6601989911.

Adding to 1430141000 its reverse (1410341), we get a palindrome (1431551341).

The spelling of 1430141000 in words is "one billion, four hundred thirty million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 16069 17800 22250 32138 44500 64276 80345 89000 128552 160690 321380 401725 642760 803450 1430141 1606900 2008625 2860282 3213800 4017250 5720564 7150705 8034500 11441128 14301410 16069000 28602820 35753525 57205640 71507050 143014100 178767625 286028200 357535250 715070500 1430141000