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535403314040 = 235719738325343
BaseRepresentation
bin1111100101010001000…
…01100011101101111000
31220011222011210102000212
413302220201203231320
532233001222022130
61045543315050252
753452536036350
oct7625041435570
91804864712025
10535403314040
11197077238321
12879215a0988
133b646aa35ca
141bcb1117b60
15ddd8ccde95
hex7ca8863b78

535403314040 has 128 divisors (see below), whose sum is σ = 1387407605760. Its totient is φ = 182150997504.

The previous prime is 535403314021. The next prime is 535403314063. The reversal of 535403314040 is 40413304535.

It is a super-2 number, since 2×5354033140402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535403313988 and 535403314006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21113609 + ... + 21138951.

It is an arithmetic number, because the mean of its divisors is an integer number (10839121920).

Almost surely, 2535403314040 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 535403314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693703802880).

535403314040 is an abundant number, since it is smaller than the sum of its proper divisors (852004291720).

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

535403314040 is a wasteful number, since it uses less digits than its factorization.

535403314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25941 (or 25937 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 535403314040 its reverse (40413304535), we get a palindrome (575816618575).

The spelling of 535403314040 in words is "five hundred thirty-five billion, four hundred three million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 383 394 766 788 985 1379 1532 1576 1915 1970 2681 2758 3064 3830 3940 5362 5516 6895 7660 7880 10724 11032 13405 13790 15320 21448 25343 26810 27580 50686 53620 55160 75451 101372 107240 126715 150902 177401 202744 253430 301804 354802 377255 506860 528157 603608 709604 754510 887005 1013720 1056314 1419208 1509020 1774010 2112628 2640785 3018040 3548020 4225256 4992571 5281570 7096040 9706369 9985142 10563140 19412738 19970284 21126280 24962855 34947997 38825476 39940568 48531845 49925710 67944583 69895994 77650952 97063690 99851420 135889166 139791988 174739985 194127380 199702840 271778332 279583976 339722915 349479970 388254760 543556664 679445830 698959940 1358891660 1397919880 1912154693 2717783320 3824309386 7648618772 9560773465 13385082851 15297237544 19121546930 26770165702 38243093860 53540331404 66925414255 76486187720 107080662808 133850828510 267701657020 535403314040