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4130431043410 = 257273601192133
BaseRepresentation
bin111100000110110000111…
…000000000011101010010
3112121212100211201012221201
4330012300320000131102
51020133110321342120
612441254355541414
7604261634404600
oct74066070003522
915555324635851
104130431043410
11135278470a021
12568608bba86a
1323c662090729
14103cb1b70870
1572696ab540a
hex3c1b0e00752

4130431043410 has 96 divisors (see below), whose sum is σ = 8781724253232. Its totient is φ = 1394417203200.

The previous prime is 4130431043383. The next prime is 4130431043429. The reversal of 4130431043410 is 143401340314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3812322635289 + 318108408121 = 1952517^2 + 564011^2 .

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 47 ways as a sum of consecutive naturals, for example, 21401704 + ... + 21593836.

Almost surely, 24130431043410 is an apocalyptic number.

4130431043410 is an abundant number, since it is smaller than the sum of its proper divisors (4651293209822).

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

4130431043410 is a wasteful number, since it uses less digits than its factorization.

4130431043410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192828 (or 192821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4130431043410 its reverse (143401340314), we get a palindrome (4273832383724).

The spelling of 4130431043410 in words is "four trillion, one hundred thirty billion, four hundred thirty-one million, forty-three thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 601 730 1022 1202 2555 3005 3577 4207 5110 6010 7154 8414 17885 21035 29449 35770 42070 43873 58898 87746 147245 192133 219365 294490 307111 384266 438730 614222 960665 1344931 1535555 1921330 2149777 2689862 3071110 4299554 6724655 9414517 10748885 13449310 14025709 18829034 21497770 28051418 47072585 70128545 94145170 98179963 115471933 140257090 196359926 230943866 490899815 577359665 687259741 808303531 981799630 1154719330 1374519482 1616607062 3436298705 4041517655 5658124717 6872597410 8083035310 8429451109 11316249434 16858902218 28290623585 42147255545 56581247170 59006157763 84294511090 118012315526 295030788815 413043104341 590061577630 826086208682 2065215521705 4130431043410