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244315002540 = 223572292865529
BaseRepresentation
bin1110001110001001001…
…1110001011010101100
3212100121201210001200210
43203202103301122230
513000324120040130
6304123050222420
723436232154100
oct3434223613254
9770551701623
10244315002540
11946824a4544
123b424724a10
131a06734477b
14bb7979d900
15654dba55b0
hex38e24f16ac

244315002540 has 144 divisors (see below), whose sum is σ = 823209458400. Its totient is φ = 53917774848.

The previous prime is 244315002539. The next prime is 244315002553. The reversal of 244315002540 is 45200513442.

244315002540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2443150025402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244315002498 and 244315002507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347505 + ... + 1518024.

It is an arithmetic number, because the mean of its divisors is an integer number (5716732350).

Almost surely, 2244315002540 is an apocalyptic number.

244315002540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244315002540 is an abundant number, since it is smaller than the sum of its proper divisors (578894455860).

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

244315002540 is a wasteful number, since it uses less digits than its factorization.

244315002540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865584 (or 2865575 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 244315002540 its reverse (45200513442), we get a palindrome (289515515982).

The spelling of 244315002540 in words is "two hundred forty-four billion, three hundred fifteen million, two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 174 196 203 210 245 290 294 348 406 420 435 490 580 588 609 735 812 870 980 1015 1218 1421 1470 1740 2030 2436 2842 2940 3045 4060 4263 5684 6090 7105 8526 12180 14210 17052 21315 28420 42630 85260 2865529 5731058 8596587 11462116 14327645 17193174 20058703 28655290 34386348 40117406 42982935 57310580 60176109 80234812 83100341 85965870 100293515 120352218 140410921 166200682 171931740 200587030 240704436 249301023 280821842 300880545 332401364 401174060 415501705 421232763 498602046 561643684 581702387 601761090 702054605 831003410 842465526 997204092 1163404774 1203522180 1246505115 1404109210 1662006820 1684931052 1745107161 2106163815 2326809548 2493010230 2808218420 2908511935 3490214322 4071916709 4212327630 4986020460 5817023870 6980428644 8143833418 8424655260 8725535805 11634047740 12215750127 16287666836 17451071610 20359583545 24431500254 34902143220 40719167090 48863000508 61078750635 81438334180 122157501270 244315002540