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44270264025 = 3252134832
BaseRepresentation
bin101001001110101101…
…101001111011011001
311020021021022102111100
4221032231221323121
51211131141422100
632200521222013
73125026015101
oct511655517331
9136237272440
1044270264025
1117858456669
1286b6031909
134236990000
1421dd794201
151241845400
hexa4eb69ed9

44270264025 has 135 divisors (see below), whose sum is σ = 86947891979. Its totient is φ = 21532006080.

The previous prime is 44270263993. The next prime is 44270264039. The reversal of 44270264025 is 52046207244.

The square root of 44270264025 is 210405.

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

44270264025 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 0 + 2 + 640 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 43435978569 + 834285456 = 208413^2 + 28884^2 .

It is not a de Polignac number, because 44270264025 - 25 = 44270263993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 533376634 + ... + 533376716.

Almost surely, 244270264025 is an apocalyptic number.

44270264025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

44270264025 is the 210405-th square number.

44270264025 is the 105203-rd centered octagonal number.

It is an amenable number.

44270264025 is a deficient number, since it is larger than the sum of its proper divisors (42677627954).

44270264025 is an frugal number, since it uses more digits than its factorization.

44270264025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Multiplying 44270264025 by its sum of digits (36), we get a square (1593729504900 = 12624302).

The spelling of 44270264025 in words is "forty-four billion, two hundred seventy million, two hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 83 117 169 195 225 249 325 415 507 585 747 845 975 1079 1245 1521 2075 2197 2535 2925 3237 3735 4225 5395 6225 6591 6889 7605 9711 10985 12675 14027 16185 18675 19773 20667 26975 28561 32955 34445 38025 42081 48555 54925 62001 70135 80925 85683 89557 98865 103335 126243 142805 164775 172225 182351 210405 242775 257049 268671 310005 350675 428415 447785 494325 516675 547053 631215 714025 806013 911755 1052025 1164241 1285245 1343355 1550025 1641159 2142075 2238925 2370563 2735265 3156075 3492723 4030065 4558775 5821205 6426225 6716775 7111689 8205795 10478169 11852815 13676325 15135133 17463615 20150325 21335067 29106025 35558445 41028975 45405399 52390845 59264075 75675665 87318075 106675335 136216197 177792225 196756729 227026995 261954225 378378325 533376675 590270187 681080985 983783645 1135134975 1770810561 2951350935 3405404925 4918918225 8854052805 14756754675 44270264025