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4324235035040 = 255593440910337
BaseRepresentation
bin111110111011010000011…
…111100100000110100000
3120022101121101010001211122
4332323100133210012200
51031322013132110130
613110305352031412
7624262401222344
oct76732037440640
916271541101748
104324235035040
111417996a43448
1259a095692568
13254a0982665b
1410d418dbd624
157773b0d52e5
hex3eed07e41a0

4324235035040 has 96 divisors (see below), whose sum is σ = 10236544108560. Its totient is φ = 1726218502144.

The previous prime is 4324235035009. The next prime is 4324235035061. The reversal of 4324235035040 is 405305324234.

It is a happy number.

4324235035040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 225537608464 + 4098697426576 = 474908^2 + 2024524^2 .

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, 418320752 + ... + 418331088.

Almost surely, 24324235035040 is an apocalyptic number.

4324235035040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4324235035040 is an abundant number, since it is smaller than the sum of its proper divisors (5912309073520).

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

4324235035040 is a wasteful number, since it uses less digits than its factorization.

4324235035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 4324235035040 in words is "four trillion, three hundred twenty-four billion, two hundred thirty-five million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 593 1186 2372 2965 4409 4744 5930 8818 9488 10337 11860 17636 18976 20674 22045 23720 35272 41348 44090 47440 51685 70544 82696 88180 94880 103370 141088 165392 176360 206740 330784 352720 413480 705440 826960 1653920 2614537 5229074 6129841 10458148 12259682 13072685 20916296 24519364 26145370 30649205 41832592 45575833 49038728 52290740 61298410 83665184 91151666 98077456 104581480 122596820 182303332 196154912 209162960 227879165 245193640 364606664 418325920 455758330 490387280 729213328 911516660 980774560 1458426656 1823033320 3646066640 7292133280 27026468969 54052937938 108105875876 135132344845 216211751752 270264689690 432423503504 540529379380 864847007008 1081058758760 2162117517520 4324235035040