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1042042240232 = 2374533173229
BaseRepresentation
bin11110010100111101000…
…11101011110011101000
310200121200201022111220122
433022132203223303220
5114033100303141412
62114412501342412
7135166530620000
oct17123643536350
93617621274818
101042042240232
11371a22751284
12149b55a07a08
1377358494876
1438613d47000
151c18c6a6572
hexf29e8ebce8

1042042240232 has 160 divisors (see below), whose sum is σ = 2330385503400. Its totient is φ = 436645827072.

The previous prime is 1042042240229. The next prime is 1042042240249. The reversal of 1042042240232 is 2320422402401.

It can be written as a sum of positive squares in 4 ways, for example, as 656368947556 + 385673292676 = 810166^2 + 621026^2 .

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 39 ways as a sum of consecutive naturals, for example, 322711994 + ... + 322715222.

Almost surely, 21042042240232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042042240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165192751700).

1042042240232 is an abundant number, since it is smaller than the sum of its proper divisors (1288343263168).

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

1042042240232 is an equidigital number, since it uses as much as digits as its factorization.

1042042240232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 1042042240232 its reverse (2320422402401), we get a palindrome (3362464642633).

The spelling of 1042042240232 in words is "one trillion, forty-two billion, forty-two million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 317 343 371 392 424 634 686 742 1268 1372 1484 2219 2401 2536 2597 2744 2968 3229 4438 4802 5194 6458 8876 9604 10388 12916 15533 16801 17752 18179 19208 20776 22603 25832 31066 33602 36358 45206 62132 67204 72716 90412 108731 117607 124264 127253 134408 145432 158221 171137 180824 217462 235214 254506 316442 342274 434924 470428 509012 632884 684548 761117 823249 869848 940856 1018024 1023593 1107547 1197959 1265768 1369096 1522234 1646498 2047186 2215094 2395918 3044468 3292996 4094372 4430188 4791836 5762743 6088936 6585992 7165151 7752829 8188744 8385713 8860376 9583672 11525486 14330302 15505658 16771426 23050972 28660604 31011316 33542852 40339201 46101944 50156057 54250429 57321208 58699991 62022632 67085704 80678402 100312114 108500858 117399982 161356804 200624228 217001716 234799964 322713608 351092399 379753003 401248456 410899937 434003432 469599928 702184798 759506006 821799874 1404369596 1519012012 1643599748 2457646793 2658271021 2808739192 3038024024 3287199496 4915293586 5316542042 9830587172 10633084084 18607897147 19661174344 21266168168 37215794294 74431588588 130255280029 148863177176 260510560058 521021120116 1042042240232