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10431565223444 = 22172294153143197
BaseRepresentation
bin1001011111001100100110…
…1111010101011000010100
31100221020200201100010002222
42113303021233111120110
52331402321144122234
634104110033321512
72124440624252651
oct227631157253024
940836621303088
1010431565223444
113362002688a42
12120585a106298
135a8900209571
14280c6757ac28
15131537a9542e
hex97cc9bd5614

10431565223444 has 144 divisors (see below), whose sum is σ = 20938119436080. Its totient is φ = 4536815861760.

The previous prime is 10431565223437. The next prime is 10431565223467. The reversal of 10431565223444 is 44432256513401.

It can be written as a sum of positive squares in 24 ways, for example, as 7516480224400 + 2915084999044 = 2741620^2 + 1707362^2 .

It is a super-2 number, since 2×104315652234442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10431565223395 and 10431565223404.

It is a congruent number.

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, 72776054 + ... + 72919250.

It is an arithmetic number, because the mean of its divisors is an integer number (145403607195).

Almost surely, 210431565223444 is an apocalyptic number.

It is an amenable number.

10431565223444 is an abundant number, since it is smaller than the sum of its proper divisors (10506554212636).

10431565223444 is a wasteful number, since it uses less digits than its factorization.

10431565223444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143358 (or 143339 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 10431565223444 in words is "ten trillion, four hundred thirty-one billion, five hundred sixty-five million, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 17 29 34 41 53 58 68 82 106 116 164 212 289 493 578 697 901 986 1156 1189 1394 1537 1802 1972 2173 2378 2788 3074 3604 4346 4756 6148 8381 8692 11849 15317 16762 20213 23698 26129 30634 33524 36941 40426 47396 52258 61268 63017 73882 80852 104516 126034 143197 147764 252068 286394 343621 444193 572788 627997 687242 888386 1071289 1255994 1374484 1776772 2142578 2434349 2511988 4152713 4285156 4868698 5871077 7589441 8305426 9737396 11742154 15178882 16610852 18211913 23484308 30357764 36423826 41383933 70596121 72847652 82767866 99808309 129020497 141192242 165535732 170261233 199616618 220093789 258040994 282384484 311167081 340522466 399233236 440187578 516081988 622334162 681044932 880375156 1200134057 1244668324 1696741253 2193348449 2400268114 2894440961 3393482506 3741594413 4386696898 4800536228 5289840377 5788881922 6786965012 7483188826 8773393796 9023845349 10579680754 11577763844 14966377652 18047690698 21159361508 36095381396 49205496337 63607105021 89927286409 98410992674 127214210042 153405370933 179854572818 196821985348 254428420084 306810741866 359709145636 613621483732 2607891305861 5215782611722 10431565223444