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1438065324810 = 2325171039125359
BaseRepresentation
bin10100111011010011010…
…111110111001100001010
312002110220020121122112200
4110323103113313030022
5142030124210343220
63020345454421030
7205616412401262
oct24732327671412
95073806548480
101438065324810
11504975427214
121b2859201776
13a57bbc048ca
144d861c847a2
1527619d89890
hex14ed35f730a

1438065324810 has 96 divisors (see below), whose sum is σ = 3997345697280. Its totient is φ = 357422022144.

The previous prime is 1438065324767. The next prime is 1438065324841. The reversal of 1438065324810 is 184235608341.

1438065324810 is a `hidden beast` number, since 1 + 4 + 3 + 80 + 65 + 32 + 481 + 0 = 666.

It is a super-2 number, since 2×14380653248102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4405090 + ... + 4720269.

It is an arithmetic number, because the mean of its divisors is an integer number (41639017680).

Almost surely, 21438065324810 is an apocalyptic number.

1438065324810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1438065324810 is an abundant number, since it is smaller than the sum of its proper divisors (2559280372470).

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

1438065324810 is a wasteful number, since it uses less digits than its factorization.

1438065324810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125492 (or 9125489 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1438065324810 in words is "one trillion, four hundred thirty-eight billion, sixty-five million, three hundred twenty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 103 153 170 206 255 306 309 510 515 618 765 927 1030 1530 1545 1751 1854 3090 3502 4635 5253 8755 9270 10506 15759 17510 26265 31518 52530 78795 157590 9125359 18250718 27376077 45626795 54752154 82128231 91253590 136880385 155131103 164256462 273760770 310262206 410641155 465393309 775655515 821282310 930786618 939911977 1396179927 1551311030 1879823954 2326966545 2792359854 2819735931 4653933090 4699559885 5639471862 6980899635 8459207793 9399119770 13961799270 14098679655 15978503609 16918415586 28197359310 31957007218 42296038965 47935510827 79892518045 84592077930 95871021654 143806532481 159785036090 239677554135 287613064962 479355108270 719032662405 1438065324810