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4491555410241 = 34181213012
BaseRepresentation
bin100000101011100010110…
…0100001001000101000001
3120220101111012220210210000
41001113011210021011001
51042042201141111431
613315220404230213
7642334634025324
oct101270544110501
916811435823700
104491555410241
111481948a30869
126065b099b369
1326772357c123
1411756cc087bb
157bc805729e6
hex415c5909141

4491555410241 has 45 divisors (see below), whose sum is σ = 6752071830009. Its totient is φ = 2975537916000.

The previous prime is 4491555410227. The next prime is 4491555410261. The reversal of 4491555410241 is 1420145551944.

The square root of 4491555410241 is 2119329.

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

4491555410241 is a `hidden beast` number, since 4 + 4 + 91 + 5 + 554 + 1 + 0 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4398579203841 + 92976206400 = 2097279^2 + 304920^2 .

It is not a de Polignac number, because 4491555410241 - 225 = 4491521855809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4491555410261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3452386291 + ... + 3452387591.

Almost surely, 24491555410241 is an apocalyptic number.

4491555410241 is the 2119329-th square number.

4491555410241 is the 1059665-th centered octagonal number.

It is an amenable number.

4491555410241 is a deficient number, since it is larger than the sum of its proper divisors (2260516419768).

4491555410241 is an frugal number, since it uses more digits than its factorization.

4491555410241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

It can be divided in two parts, 4491555 and 410241, that added together give a square (4901796 = 22142).

The spelling of 4491555410241 in words is "four trillion, four hundred ninety-one billion, five hundred fifty-five million, four hundred ten thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 181 543 1301 1629 3903 4887 11709 14661 32761 35127 98283 105381 235481 294849 706443 884547 1692601 2119329 2653641 5077803 6357987 15233409 19073961 42622061 45700227 127866183 137100681 306360781 383598549 919082343 1150795647 2757247029 3452386941 8271741087 24815223261 55451301361 166353904083 499061712249 1497185136747 4491555410241