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145234675282225 = 52412587872
BaseRepresentation
bin100001000001011100010101…
…001110101011000100110001
3201001020022002020022012101211
4201001130111032223010301
5123014011103333012400
61232515515545200121
742406600434033424
oct4101342516530461
9631208066265354
10145234675282225
1142304752a33741
1214357552a90041
1363067569740b9
1427c15780959bb
1511bcd4946edba
hex8417153ab131

145234675282225 has 27 divisors (see below), whose sum is σ = 184593733995841. Its totient is φ = 113351964689600.

The previous prime is 145234675282217. The next prime is 145234675282289. The reversal of 145234675282225 is 522282576432541.

The square root of 145234675282225 is 12051335.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 61131616206241 + 84103059075984 = 7818671^2 + 9170772^2 .

It is not a de Polignac number, because 145234675282225 - 23 = 145234675282217 is a prime.

It is a super-3 number, since 3×1452346752822253 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145234675282225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2470494282 + ... + 2470553068.

Almost surely, 2145234675282225 is an apocalyptic number.

145234675282225 is the 12051335-th square number.

145234675282225 is the 6025668-th centered octagonal number.

It is an amenable number.

145234675282225 is a deficient number, since it is larger than the sum of its proper divisors (39359058713616).

145234675282225 is an frugal number, since it uses more digits than its factorization.

145234675282225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117666 (or 58833 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 58.

The spelling of 145234675282225 in words is "one hundred forty-five trillion, two hundred thirty-four billion, six hundred seventy-five million, two hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 42025 58787 293935 1469675 2410267 12051335 60256675 98820947 494104735 2470523675 3455911369 17279556845 86397784225 141692366129 708461830645 3542309153225 5809387011289 29046935056445 145234675282225