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1042311302424 = 233371036692809
BaseRepresentation
bin11110010101011101001…
…10000100110100011000
310200122101110121021212000
433022232212010310120
5114034123143134144
62114455312321000
7135206305613610
oct17125646046430
93618343537760
101042311302424
11372050614727
1214a00bb43160
137739c14c872
143863b985a40
151c1a6103769
hexf2ae984d18

1042311302424 has 128 divisors (see below), whose sum is σ = 3341050752000. Its totient is φ = 294911891712.

The previous prime is 1042311302423. The next prime is 1042311302429. The reversal of 1042311302424 is 4242031132401.

1042311302424 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 311 + 302 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042311302423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190669 + ... + 3502140.

It is an arithmetic number, because the mean of its divisors is an integer number (26101959000).

Almost surely, 21042311302424 is an apocalyptic number.

1042311302424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1042311302424 is an abundant number, since it is smaller than the sum of its proper divisors (2298739449576).

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

1042311302424 is a wasteful number, since it uses less digits than its factorization.

1042311302424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692934 (or 6692924 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1042311302424 its reverse (4242031132401), we get a palindrome (5284342434825).

The spelling of 1042311302424 in words is "one trillion, forty-two billion, three hundred eleven million, three hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 103 108 126 168 189 206 216 252 309 378 412 504 618 721 756 824 927 1236 1442 1512 1854 2163 2472 2781 2884 3708 4326 5562 5768 6489 7416 8652 11124 12978 17304 19467 22248 25956 38934 51912 77868 155736 6692809 13385618 20078427 26771236 40156854 46849663 53542472 60235281 80313708 93699326 120470562 140548989 160627416 180705843 187398652 240941124 281097978 361411686 374797304 421646967 481882248 562195956 689359327 722823372 843293934 1124391912 1264940901 1378718654 1445646744 1686587868 2068077981 2529881802 2757437308 3373175736 4136155962 4825515289 5059763604 5514874616 6204233943 8272311924 9651030578 10119527208 12408467886 14476545867 16544623848 18612701829 19302061156 24816935772 28953091734 37225403658 38604122312 43429637601 49633871544 57906183468 74450807316 86859275202 115812366936 130288912803 148901614632 173718550404 260577825606 347437100808 521155651212 1042311302424