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2844116975401 = 1341725872
BaseRepresentation
bin101001011000110010100…
…101001111111100101001
3101001220011101212010222121
4221120302211033330221
5333044222421203101
610014322545151241
7412323604260442
oct51306245177451
911056141763877
102844116975401
119a7201983129
1239b26102b521
131782784c0000
149b9280a62c9
154deae4360a1
hex2963294ff29

2844116975401 has 45 divisors (see below), whose sum is σ = 3278607340259. Its totient is φ = 2466697673856.

The previous prime is 2844116975383. The next prime is 2844116975411. The reversal of 2844116975401 is 1045796114482.

It is a happy number.

The square root of 2844116975401 is 1686451.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2596336029225 + 247780946176 = 1611315^2 + 497776^2 .

It is not a de Polignac number, because 2844116975401 - 229 = 2843580104489 is a prime.

It is a super-2 number, since 2×28441169754012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2844116975411) 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, 4845173430 + ... + 4845174016.

Almost surely, 22844116975401 is an apocalyptic number.

2844116975401 is the 1686451-st square number.

2844116975401 is the 843226-th centered octagonal number.

It is an amenable number.

2844116975401 is a deficient number, since it is larger than the sum of its proper divisors (434490364858).

2844116975401 is an frugal number, since it uses more digits than its factorization.

2844116975401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 2844116975401 in words is "two trillion, eight hundred forty-four billion, one hundred sixteen million, nine hundred seventy-five thousand, four hundred one".

Divisors: 1 13 17 169 221 289 587 2197 2873 3757 7631 9979 28561 37349 48841 99203 129727 169643 344569 485537 634933 1289639 1686451 2205359 4479397 5857673 8254129 16765307 21923863 28669667 58232161 76149749 99580441 285010219 372705671 757018093 989946737 1294545733 4845173723 9841235209 12869307581 16829094529 167300998553 218778228877 2844116975401