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41470471449 = 34116172
BaseRepresentation
bin100110100111110101…
…010010110100011001
310222001011000020010000
4212213311102310121
51134412420041244
631015024043213
72665451122401
oct464765226431
9128034006100
1041470471449
1116651000000
128054463509
133bab906304
1420159c5801
15112ab4c169
hex9a7d52d19

41470471449 has 105 divisors (see below), whose sum is σ = 72388990399. Its totient is φ = 23655170880.

The previous prime is 41470471423. The next prime is 41470471459. The reversal of 41470471449 is 94417407414.

The square root of 41470471449 is 203643.

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

It can be written as a sum of positive squares in only one way, i.e., 32286699225 + 9183772224 = 179685^2 + 95832^2 .

It is not a de Polignac number, because 41470471449 - 213 = 41470463257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41470471409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2439439489 + ... + 2439439505.

Almost surely, 241470471449 is an apocalyptic number.

41470471449 is the 203643-rd square number.

41470471449 is the 101822-nd centered octagonal number.

It is an amenable number.

41470471449 is a deficient number, since it is larger than the sum of its proper divisors (30918518950).

41470471449 is an frugal number, since it uses more digits than its factorization.

41470471449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 41470471449 in words is "forty-one billion, four hundred seventy million, four hundred seventy-one thousand, four hundred forty-nine".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 289 297 363 459 561 867 891 1089 1331 1377 1683 2057 2601 3179 3267 3993 5049 6171 7803 9537 9801 11979 14641 15147 18513 22627 23409 28611 34969 35937 43923 55539 67881 85833 104907 107811 131769 161051 166617 203643 248897 257499 314721 384659 395307 483153 610929 746691 944163 1153977 1185921 1449459 1771561 1832787 2240073 2737867 2832489 3461931 4231249 4348377 5314683 6720219 8213601 10385793 12693747 13045131 15944049 20160657 24640803 30116537 31157379 38081241 46543739 47832147 73922409 90349611 114243723 139631217 143496441 221767227 271048833 342731169 418893651 511981129 813146499 1256680953 1535943387 2439439497 3770042859 4607830161 13823490483 41470471449