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525455220140344 = 23133110311147113781
BaseRepresentation
bin111011101111001100001001…
…1101111011110100100111000
32112220111000202202011102110101
41313132120103233132210320
51022333024242323442334
65101314443511525144
7215451613124212534
oct16736302357364470
92486430682142411
10525455220140344
111424763421a848a
124ab248aa0897b4
13197272a3764b70
1493a824dd5abc4
1540b3469682214
hex1dde613bde938

525455220140344 has 128 divisors (see below), whose sum is σ = 1096479090524160. Its totient is φ = 234429549120000.

The previous prime is 525455220140329. The next prime is 525455220140377. The reversal of 525455220140344 is 443041022554525.

It is a super-2 number, since 2×5254552201403442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 525455220140294 and 525455220140303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38128954734 + ... + 38128968514.

It is an arithmetic number, because the mean of its divisors is an integer number (8566242894720).

Almost surely, 2525455220140344 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 525455220140344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548239545262080).

525455220140344 is an abundant number, since it is smaller than the sum of its proper divisors (571023870383816).

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

525455220140344 is a wasteful number, since it uses less digits than its factorization.

525455220140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26333 (or 26329 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 46.

Adding to 525455220140344 its reverse (443041022554525), we get a palindrome (968496242694869).

The spelling of 525455220140344 in words is "five hundred twenty-five trillion, four hundred fifty-five billion, two hundred twenty million, one hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1031 1612 2062 3224 4124 8248 11471 13403 13781 22942 26806 27562 31961 45884 53612 55124 63922 91768 107224 110248 127844 149123 179153 255688 298246 355601 358306 415493 427211 596492 711202 716612 830986 854422 1192984 1422404 1433224 1661972 1708844 2844808 3323944 3417688 4622813 5553743 9245626 11107486 11826601 14208211 18491252 22214972 23653202 28416422 36982504 44429944 47306404 56832844 94612808 113665688 153745813 158081851 184706743 307491626 316163702 366624631 369413486 440454541 614983252 632327404 733249262 738826972 880909082 1229966504 1264654808 1466498524 1477653944 1761818164 2055064063 2932997048 3523636328 4110128126 4766120203 4900537381 5725909033 8220256252 9532240406 9801074762 11451818066 16440512504 19064480812 19602149524 22903636132 38128961624 39204299048 45807272264 63706985953 127413971906 162982388381 254827943812 325964776762 509655887624 651929553524 1303859107048 2118771048953 4237542097906 5052454039811 8475084195812 10104908079622 16950168391624 20209816159244 40419632318488 65681902517543 131363805035086 262727610070172 525455220140344