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128411139025 = 521323721492
BaseRepresentation
bin111011110010111100…
…1100111101111010001
3110021110012012202010001
41313211321213233101
54100441222422100
6134554040210001
712164101446421
oct1674571475721
9407405182101
10128411139025
114a505816394
1220a78769901
13c15596bc00
146302474481
153518614d6a
hex1de5e67bd1

128411139025 has 81 divisors (see below), whose sum is σ = 178403692761. Its totient is φ = 91644583680.

The previous prime is 128411139013. The next prime is 128411139029. The reversal of 128411139025 is 520931114821.

The square root of 128411139025 is 358345.

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

It can be written as a sum of positive squares in 40 ways, for example, as 97429506769 + 30981632256 = 312137^2 + 176016^2 .

It is a de Polignac number, because none of the positive numbers 2k-128411139025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128411139029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 861819651 + ... + 861819799.

Almost surely, 2128411139025 is an apocalyptic number.

128411139025 is the 358345-th square number.

128411139025 is the 179173-rd centered octagonal number.

It is an amenable number.

128411139025 is a deficient number, since it is larger than the sum of its proper divisors (49992553736).

128411139025 is an equidigital number, since it uses as much as digits as its factorization.

128411139025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 128411139025 in words is "one hundred twenty-eight billion, four hundred eleven million, one hundred thirty-nine thousand, twenty-five".

Divisors: 1 5 13 25 37 65 149 169 185 325 481 745 845 925 1369 1937 2405 3725 4225 5513 6253 6845 9685 12025 17797 22201 25181 27565 31265 34225 48425 71669 88985 111005 125905 137825 156325 203981 231361 288613 358345 444925 555025 629525 821437 931697 1019905 1156805 1443065 1791725 2651753 3751969 4107185 4658485 5099525 5784025 7215325 10678681 13258765 18759845 20535925 23292425 30393169 34472789 53393405 66293825 93799225 138822853 151965845 172363945 266967025 395111197 694114265 759829225 861819725 1975555985 3470571325 5136445561 9877779925 25682227805 128411139025