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411020045440 = 2752292804449
BaseRepresentation
bin1011111101100101011…
…01000010110010000000
31110021220200201200101221
411332302231002302000
523213232112423230
6512453042004424
741460313512244
oct5766255026200
91407820650357
10411020045440
11149349111674
12677a9946714
132c9b37639a4
1415c719b0424
15aa590e727a
hex5fb2b42c80

411020045440 has 64 divisors (see below), whose sum is σ = 986885955000. Its totient is φ = 163690020864.

The previous prime is 411020045431. The next prime is 411020045479. The reversal of 411020045440 is 44540020114.

It can be written as a sum of positive squares in 4 ways, for example, as 329374983744 + 81645061696 = 573912^2 + 285736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255665 + ... + 1548784.

Almost surely, 2411020045440 is an apocalyptic number.

411020045440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411020045440 is an abundant number, since it is smaller than the sum of its proper divisors (575865909560).

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

411020045440 is a wasteful number, since it uses less digits than its factorization.

411020045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804697 (or 2804685 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 411020045440 its reverse (44540020114), we get a palindrome (455560065554).

The spelling of 411020045440 in words is "four hundred eleven billion, twenty million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 320 458 640 916 1145 1832 2290 3664 4580 7328 9160 14656 18320 29312 36640 73280 146560 2804449 5608898 11217796 14022245 22435592 28044490 44871184 56088980 89742368 112177960 179484736 224355920 358969472 448711840 642218821 897423680 1284437642 1794847360 2568875284 3211094105 5137750568 6422188210 10275501136 12844376420 20551002272 25688752840 41102004544 51377505680 82204009088 102755011360 205510022720 411020045440