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441485829136 = 24112151012
BaseRepresentation
bin1100110110010101001…
…10110010010000010000
31120012112220110211220001
412123022212302100100
524213130333013021
6534452113255344
743616300426122
oct6331246622020
91505486424801
10441485829136
11160262271900
1271690864554
133282a490a31
1417521c25212
15b73da7b091
hex66ca9b2410

441485829136 has 45 divisors (see below), whose sum is σ = 940272014269. Its totient is φ = 200662088000.

The previous prime is 441485829119. The next prime is 441485829139. The reversal of 441485829136 is 631928584144.

The square root of 441485829136 is 664444.

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., 54402763536 + 387083065600 = 233244^2 + 622160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441485829139) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29227986 + ... + 29243086.

Almost surely, 2441485829136 is an apocalyptic number.

441485829136 is the 664444-th square number.

It is an amenable number.

441485829136 is an abundant number, since it is smaller than the sum of its proper divisors (498786185133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441485829136 is an frugal number, since it uses more digits than its factorization.

441485829136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30232 (or 15114 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 441485829136 in words is "four hundred forty-one billion, four hundred eighty-five million, eight hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 15101 30202 60404 120808 166111 241616 332222 664444 1328888 1827221 2657776 3654442 7308884 14617768 29235536 228040201 456080402 912160804 1824321608 2508442211 3648643216 5016884422 10033768844 20067537688 27592864321 40135075376 55185728642 110371457284 220742914568 441485829136