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1041431000 = 23531079733
BaseRepresentation
bin111110000100101…
…111100111011000
32200120122011202112
4332010233213120
54113101243000
6251201251452
734544005661
oct7604574730
92616564675
101041431000
11494951585
12250933b88
131379b517c
149c454368
1561667235
hex3e12f9d8

1041431000 has 64 divisors (see below), whose sum is σ = 2459976480. Its totient is φ = 412636800.

The previous prime is 1041430997. The next prime is 1041431011. The reversal of 1041431000 is 1341401.

It is a happy number.

It is a super-2 number, since 2×10414310002 = 2169157055522000000, which contains 22 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 15 ways as a sum of consecutive naturals, for example, 102134 + ... + 111866.

Almost surely, 21041431000 is an apocalyptic number.

1041431000 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 1041431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229988240).

1041431000 is an abundant number, since it is smaller than the sum of its proper divisors (1418545480).

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

1041431000 is a wasteful number, since it uses less digits than its factorization.

1041431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9847 counting only the distinct ones).

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

The square root of 1041431000 is about 32271.2100795740. The cubic root of 1041431000 is about 1013.6238803087.

Adding to 1041431000 its reverse (1341401), we get a palindrome (1042772401).

It can be divided in two parts, 10414 and 31000, that added together give a palindrome (41414).

The spelling of 1041431000 in words is "one billion, forty-one million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 9733 10700 13375 19466 21400 26750 38932 48665 53500 77864 97330 107000 194660 243325 389320 486650 973300 1041431 1216625 1946600 2082862 2433250 4165724 4866500 5207155 8331448 9733000 10414310 20828620 26035775 41657240 52071550 104143100 130178875 208286200 260357750 520715500 1041431000