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10041342535042 = 2721325316217057
BaseRepresentation
bin1001001000011110111010…
…1001111010010110000010
31022112221110102111122011221
42102013232221322112002
52304004132142110132
633204532403025254
72054314554162400
oct222075651722602
938487412448157
1010041342535042
1132215670a1555
1211620b536b22a
1357ab823b9400
1426a009b30470
151262e971ce97
hex921eea7a582

10041342535042 has 144 divisors (see below), whose sum is σ = 19345210682472. Its totient is φ = 3894492026880.

The previous prime is 10041342535039. The next prime is 10041342535061. The reversal of 10041342535042 is 24053524314001.

It can be written as a sum of positive squares in 12 ways, for example, as 3571385615721 + 6469956919321 = 1889811^2 + 2543611^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10041342534989 and 10041342535007.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422887578 + ... + 1422894634.

Almost surely, 210041342535042 is an apocalyptic number.

10041342535042 is a deficient number, since it is larger than the sum of its proper divisors (9303868147430).

10041342535042 is a wasteful number, since it uses less digits than its factorization.

10041342535042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 10041342535042 its reverse (24053524314001), we get a palindrome (34094866849043).

The spelling of 10041342535042 in words is "ten trillion, forty-one billion, three hundred forty-two million, five hundred thirty-five thousand, forty-two".

Divisors: 1 2 7 13 14 26 49 53 91 98 106 169 182 338 371 637 689 742 1183 1274 1378 1621 2366 2597 3242 4823 5194 7057 8281 8957 9646 11347 14114 16562 17914 21073 22694 33761 42146 49399 62699 67522 79429 85913 91741 98798 125398 147511 158858 171826 183482 273949 295022 345793 374021 438893 547898 601391 642187 691586 748042 877786 1032577 1116869 1192633 1202782 1284374 1917643 2065154 2233738 2385266 2618147 3835286 4209737 4495309 4862273 5236294 7818083 8348431 8419474 8990618 9724546 11439397 13423501 14519297 15636166 16696862 18327029 22878794 26847002 29038594 34035911 36654058 54726581 58439017 63209549 68071822 80075779 101635079 109453162 116878034 126419098 148712161 160151558 203270158 238251377 297424322 442466843 476502754 560530453 606288041 711445553 884933686 1040985127 1121060906 1212576082 1422891106 1933258093 2081970254 3097267901 3866516186 4244016287 6194535802 7286895889 7881744533 8488032574 13532806651 14573791778 15763489066 27065613302 29708114009 55172211731 59416228018 94729646557 102462678929 110344423462 189459293114 204925357858 386205482117 717238752503 772410964234 1434477505006 5020671267521 10041342535042