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80144248238224 = 24892251472
BaseRepresentation
bin10010001110010000001001…
…011100100111000010010000
3101111202201022110100202122121
4102032100021130213002100
541001040410022110344
6442241432004544024
722611142116656662
oct2216201134470220
9344681273322577
1080144248238224
1123599a91857565
128ba45aa6b2014
1335947548bc431
1415b10064b4532
1593eb085b7684
hex48e409727090

80144248238224 has 45 divisors (see below), whose sum is σ = 157050043030137. Its totient is φ = 39620299923072.

The previous prime is 80144248238209. The next prime is 80144248238239. The reversal of 80144248238224 is 42283284244108.

The square root of 80144248238224 is 8952332.

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

It is an interprime number because it is at equal distance from previous prime (80144248238209) and next prime (80144248238239).

It can be written as a sum of positive squares in only one way, i.e., 15389395476624 + 64754852761600 = 3922932^2 + 8047040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3187017619 + ... + 3187042765.

Almost surely, 280144248238224 is an apocalyptic number.

80144248238224 is the 8952332-nd square number.

It is an amenable number.

80144248238224 is a deficient number, since it is larger than the sum of its proper divisors (76905794791913).

80144248238224 is an frugal number, since it uses more digits than its factorization.

80144248238224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50480 (or 25238 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 52.

The spelling of 80144248238224 in words is "eighty trillion, one hundred forty-four billion, two hundred forty-eight million, two hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 89 178 356 712 1424 7921 15842 25147 31684 50294 63368 100588 126736 201176 402352 2238083 4476166 8952332 17904664 35809328 199189387 398378774 632371609 796757548 1264743218 1593515096 2529486436 3187030192 5058972872 10117945744 56281073201 112562146402 225124292804 450248585608 900497171216 5009015514889 10018031029778 20036062059556 40072124119112 80144248238224