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255354141303040 = 2851315345801761
BaseRepresentation
bin111010000011111001000100…
…111000100110000100000000
31020111010121200011020122021111
4322003321010320212010000
5231432210240133144130
62303032023440333104
7104533504445151133
oct7203710470460400
91214117604218244
10255354141303040
11744000a077353a
1224781415314194
13ac63a3b60b5b0
14470b2c646021a
151e7c531d0c02a
hexe83e44e26100

255354141303040 has 72 divisors (see below), whose sum is σ = 658703194832088. Its totient is φ = 94284606013440.

The previous prime is 255354141303029. The next prime is 255354141303049. The reversal of 255354141303040 is 40303141453552.

It can be written as a sum of positive squares in 4 ways, for example, as 197733187584 + 255156408115456 = 444672^2 + 15973616^2 .

It is a super-2 number, since 2×2553541413030402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 255354141302984 and 255354141303002.

It is not an unprimeable number, because it can be changed into a prime (255354141303049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7672884241 + ... + 7672917520.

It is an arithmetic number, because the mean of its divisors is an integer number (9148655483779).

Almost surely, 2255354141303040 is an apocalyptic number.

255354141303040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255354141303040 is an abundant number, since it is smaller than the sum of its proper divisors (403349053529048).

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

255354141303040 is a wasteful number, since it uses less digits than its factorization.

255354141303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345801795 (or 15345801781 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 255354141303040 its reverse (40303141453552), we get a palindrome (295657282756592).

The spelling of 255354141303040 in words is "two hundred fifty-five trillion, three hundred fifty-four billion, one hundred forty-one million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 15345801761 30691603522 61383207044 76729008805 122766414088 153458017610 199495422893 245532828176 306916035220 398990845786 491065656352 613832070440 797981691572 982131312704 997477114465 1227664140880 1595963383144 1964262625408 1994954228930 2455328281760 3191926766288 3928525250816 3989908457860 4910656563520 6383853532576 7979816915720 9821313127040 12767707065152 15959633831440 19642626254080 25535414130304 31919267662880 51070828260608 63838535325760 127677070651520 255354141303040