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143326602225 = 34524721792
BaseRepresentation
bin1000010101111011101…
…1100110001111110001
3111200221200021210010000
42011132323212033301
54322013102232400
6145502054300213
713232524006032
oct2053673461761
9450850253100
10143326602225
115586a148684
122393b957669
1310691b29891
146d19370a89
153adcccb600
hex215eee63f1

143326602225 has 135 divisors (see below), whose sum is σ = 272783211547. Its totient is φ = 74396495520.

The previous prime is 143326602203. The next prime is 143326602227. The reversal of 143326602225 is 522206623341.

The square root of 143326602225 is 378585.

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

143326602225 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 26 + 602 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51597576801 + 91729025424 = 227151^2 + 302868^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 143326602225 - 221 = 143324505073 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143326602225.

It is not an unprimeable number, because it can be changed into a prime (143326602227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 800707186 + ... + 800707364.

Almost surely, 2143326602225 is an apocalyptic number.

143326602225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

143326602225 is the 378585-th square number.

143326602225 is the 189293-rd centered octagonal number.

It is an amenable number.

143326602225 is a deficient number, since it is larger than the sum of its proper divisors (129456609322).

143326602225 is an frugal number, since it uses more digits than its factorization.

143326602225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 143326602225 by its sum of digits (36), we get a square (5159757680100 = 22715102).

The spelling of 143326602225 in words is "one hundred forty-three billion, three hundred twenty-six million, six hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 75 81 135 141 179 225 235 405 423 537 675 705 895 1175 1269 1611 2025 2115 2209 2685 3525 3807 4475 4833 6345 6627 8055 8413 10575 11045 13425 14499 19035 19881 24165 25239 31725 32041 33135 40275 42065 55225 59643 72495 75717 95175 96123 99405 120825 126195 160205 165675 178929 210325 227151 288369 298215 362475 378585 395411 480615 497025 630975 681453 801025 865107 894645 1135755 1186233 1441845 1491075 1505927 1892925 1977055 2403075 2595321 3407265 3558699 4325535 4473225 4517781 5678775 5931165 7209225 7529635 9885275 10676097 12976605 13553343 17036325 17793495 21627675 22588905 29655825 32028291 37648175 40660029 53380485 64883025 67766715 70778569 88967475 112944525 121980087 160141455 203300145 212335707 266902425 338833575 353892845 609900435 637007121 800707275 1016500725 1061678535 1769464225 1911021363 3049502175 3185035605 5308392675 5733064089 9555106815 15925178025 28665320445 47775534075 143326602225