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1041411330 = 23451775629
BaseRepresentation
bin111110000100101…
…010110100000010
32200120121011210000
4332010222310002
54113100130310
6251201020430
734543564431
oct7604526402
92616534700
101041411330
11494938823
12250924716
131379a922b
149c44b118
15616614c0
hex3e12ad02

1041411330 has 80 divisors (see below), whose sum is σ = 2964998520. Its totient is φ = 261370368.

The previous prime is 1041411317. The next prime is 1041411359. The reversal of 1041411330 is 331141401.

It can be written as a sum of positive squares in 4 ways, for example, as 1036389249 + 5022081 = 32193^2 + 2241^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 24045 + ... + 51584.

Almost surely, 21041411330 is an apocalyptic number.

1041411330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041411330 is an abundant number, since it is smaller than the sum of its proper divisors (1923587190).

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

1041411330 is a wasteful number, since it uses less digits than its factorization.

1041411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75665 (or 75656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1041411330 is about 32270.9053173288. The cubic root of 1041411330 is about 1013.6174986706.

Adding to 1041411330 its reverse (331141401), we get a palindrome (1372552731).

The spelling of 1041411330 in words is "one billion, forty-one million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 75629 151258 226887 378145 453774 680661 756290 1134435 1285693 1361322 2041983 2268870 2571386 3403305 3857079 4083966 6125949 6428465 6806610 7714158 10209915 11571237 12251898 12856930 19285395 20419830 23142474 30629745 34713711 38570790 57856185 61259490 69427422 104141133 115712370 173568555 208282266 347137110 520705665 1041411330