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535314231440 = 2457978395769
BaseRepresentation
bin1111100101000110011…
…01101111000010010000
31220011201222011112200022
413302203031233002100
532232310420401230
61045530413443012
753450404614332
oct7624315570220
91804658145608
10535314231440
11197030a2323a
12878b77a0468
133b6314b3101
141bca3369452
15ddd10841e5
hex7ca336f090

535314231440 has 40 divisors (see below), whose sum is σ = 1246167349560. Its totient is φ = 213857002496.

The previous prime is 535314231373. The next prime is 535314231457. The reversal of 535314231440 is 44132413535.

It can be written as a sum of positive squares in 4 ways, for example, as 183622534144 + 351691697296 = 428512^2 + 593036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5353142314402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 535314231440.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4134125 + ... + 4261644.

It is an arithmetic number, because the mean of its divisors is an integer number (31154183739).

Almost surely, 2535314231440 is an apocalyptic number.

It is an amenable number.

535314231440 is an abundant number, since it is smaller than the sum of its proper divisors (710853118120).

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

535314231440 is a wasteful number, since it uses less digits than its factorization.

535314231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396579 (or 8396573 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 535314231440 its reverse (44132413535), we get a palindrome (579446644975).

The spelling of 535314231440 in words is "five hundred thirty-five billion, three hundred fourteen million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 797 1594 3188 3985 6376 7970 12752 15940 31880 63760 8395769 16791538 33583076 41978845 67166152 83957690 134332304 167915380 335830760 671661520 6691427893 13382855786 26765711572 33457139465 53531423144 66914278930 107062846288 133828557860 267657115720 535314231440