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4431023404430 = 257224170153527
BaseRepresentation
bin100000001111010110110…
…0100110111010110001110
3120200121020122021022020212
41000132231210313112032
51040044213442420210
613231330053242422
7635062614332300
oct100365544672616
916617218238225
104431023404430
111459206216987
125b6918933412
13261ac7841bcc
1411466982b970
157a3db283805
hex407ad93758e

4431023404430 has 96 divisors (see below), whose sum is σ = 9329983071552. Its totient is φ = 1510717824000.

The previous prime is 4431023404403. The next prime is 4431023404439. The reversal of 4431023404430 is 344043201344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431023404439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82754327 + ... + 82807853.

It is an arithmetic number, because the mean of its divisors is an integer number (97187323662).

Almost surely, 24431023404430 is an apocalyptic number.

4431023404430 is an abundant number, since it is smaller than the sum of its proper divisors (4898959667122).

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

4431023404430 is a wasteful number, since it uses less digits than its factorization.

4431023404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54490 (or 54483 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4431023404430 its reverse (344043201344), we get a palindrome (4775066605774).

The spelling of 4431023404430 in words is "four trillion, four hundred thirty-one billion, twenty-three million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 241 245 482 490 701 1205 1402 1687 2410 3374 3505 4907 7010 8435 9814 11809 16870 23618 24535 34349 49070 53527 59045 68698 107054 118090 168941 171745 267635 337882 343490 374689 535270 749378 844705 1182587 1689410 1873445 2365174 2622823 3746890 5245646 5912935 8278109 11825870 12900007 13114115 16556218 25800014 26228230 37522427 41390545 64500035 75044854 82781090 90300049 129000070 180600098 187612135 262656989 375224270 451500245 525313978 632100343 903000490 1264200686 1313284945 1838598923 2626569890 3160501715 3677197846 6321003430 9042904907 9192994615 18085809814 18385989230 45214524535 63300334349 90429049070 126600668698 316501671745 443102340443 633003343490 886204680886 2215511702215 4431023404430