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145412540520525 = 32524962891302221
BaseRepresentation
bin100001000100000001111110…
…110100101101100001001101
3201001212022011222010111010100
4201010001332310231201031
5123024414340333124100
61233133333210401313
742425465211436455
oct4104017664554115
9631768158114110
10145412540520525
1142373126254853
1214385b11730239
13631a461249335
1427ca00c556d65
1511c27a9546400
hex84407ed2d84d

145412540520525 has 36 divisors (see below), whose sum is σ = 260450741821140. Its totient is φ = 77553139123200.

The previous prime is 145412540520491. The next prime is 145412540520547. The reversal of 145412540520525 is 525025045214541.

145412540520525 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 2 + 540 + 52 + 0 + 52 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 893529701289 + 144519010819236 = 945267^2 + 12021606^2 .

It is not a de Polignac number, because 145412540520525 - 213 = 145412540512333 is a prime.

It is a super-2 number, since 2×1454125405205252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111013915 + ... + 112316135.

It is an arithmetic number, because the mean of its divisors is an integer number (7234742828365).

Almost surely, 2145412540520525 is an apocalyptic number.

145412540520525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145412540520525 is a deficient number, since it is larger than the sum of its proper divisors (115038201300615).

145412540520525 is a wasteful number, since it uses less digits than its factorization.

145412540520525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798526 (or 1798518 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 145412540520525 in words is "one hundred forty-five trillion, four hundred twelve billion, five hundred forty million, five hundred twenty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 496289 1302221 1488867 2481445 3906663 4466601 6511105 7444335 11719989 12407225 19533315 22333005 32555525 37221675 58599945 97666575 111665025 292999725 646277957869 1938833873607 3231389789345 5816501620821 9694169368035 16156948946725 29082508104105 48470846840175 145412540520525