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1042430330440 = 235197694919037
BaseRepresentation
bin11110010101101011011…
…00001000011001001000
310200122200202120112121001
433022311230020121020
5114034344131033230
62114515203424344
7135212252416222
oct17126554103110
93618622515531
101042430330440
11372101822194
1214a0439850b4
13773ba9c6245
143864d6cb412
151c1b17b60ca
hexf2b5b08648

1042430330440 has 64 divisors (see below), whose sum is σ = 2357837262000. Its totient is φ = 414774033408.

The previous prime is 1042430330423. The next prime is 1042430330497. The reversal of 1042430330440 is 440330342401.

It can be written as a sum of positive squares in 8 ways, for example, as 630274034404 + 412156296036 = 793898^2 + 641994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1042430330399 and 1042430330408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54748602 + ... + 54767638.

Almost surely, 21042430330440 is an apocalyptic number.

1042430330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042430330440 is an abundant number, since it is smaller than the sum of its proper divisors (1315406931560).

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

1042430330440 is a wasteful number, since it uses less digits than its factorization.

1042430330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26194 (or 26190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1042430330440 its reverse (440330342401), we get a palindrome (1482760672841).

The spelling of 1042430330440 in words is "one trillion, forty-two billion, four hundred thirty million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 6949 7880 13898 19037 27796 34745 38074 55592 69490 76148 95185 138980 152296 190370 277960 380740 761480 1368953 2737906 3750289 5475812 6844765 7500578 10951624 13689530 15001156 18751445 27379060 30002312 37502890 54758120 75005780 132288113 150011560 264576226 529152452 661440565 1058304904 1322881130 2645762260 5291524520 26060758261 52121516522 104243033044 130303791305 208486066088 260607582610 521215165220 1042430330440