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525141140000 = 2554102125717
BaseRepresentation
bin1111010010001001101…
…10011110001000100000
31212012110222200221201212
413221010312132020200
532100442112440000
61041125125045252
752640326016531
oct7510466361040
91765428627655
10525141140000
11192790535054
1285938856828
133a69c9a0489
141b5ba22a688
15d9d7dd4c35
hex7a44d9e220

525141140000 has 120 divisors (see below), whose sum is σ = 1293241614588. Its totient is φ = 209842560000.

The previous prime is 525141139997. The next prime is 525141140033. The reversal of 525141140000 is 41141525.

It can be written as a sum of positive squares in 10 ways, for example, as 19375526416 + 505765613584 = 139196^2 + 711172^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20407142 + ... + 20432858.

Almost surely, 2525141140000 is an apocalyptic number.

525141140000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525141140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646620807294).

525141140000 is an abundant number, since it is smaller than the sum of its proper divisors (768100474588).

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

525141140000 is a wasteful number, since it uses less digits than its factorization.

525141140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26768 (or 26745 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 525141140000 its reverse (41141525), we get a palindrome (525182281525).

The spelling of 525141140000 in words is "five hundred twenty-five billion, one hundred forty-one million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1021 1250 2000 2042 2500 4000 4084 5000 5105 8168 10000 10210 16336 20000 20420 25525 25717 32672 40840 51050 51434 81680 102100 102868 127625 128585 163360 204200 205736 255250 257170 408400 411472 510500 514340 638125 642925 816800 822944 1021000 1028680 1276250 1285850 2042000 2057360 2552500 2571700 3214625 4084000 4114720 5105000 5143400 6429250 10210000 10286800 12858500 16073125 20420000 20573600 25717000 26257057 32146250 51434000 52514114 64292500 102868000 105028228 128585000 131285285 210056456 257170000 262570570 420112912 514340000 525141140 656426425 840225824 1050282280 1312852850 2100564560 2625705700 3282132125 4201129120 5251411400 6564264250 10502822800 13128528500 16410660625 21005645600 26257057000 32821321250 52514114000 65642642500 105028228000 131285285000 262570570000 525141140000