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544141352544 = 253101199282011
BaseRepresentation
bin1111110101100010101…
…10100001111001100000
31221000112010221202102120
413322301112201321200
532403400141240134
61053550341344240
754212221116306
oct7726126417140
91830463852376
10544141352544
1119a850675a49
128955ba08080
133c40a1b38aa
141c49d81c276
15e24aeb2649
hex7eb15a1e60

544141352544 has 96 divisors (see below), whose sum is σ = 1449767289600. Its totient is φ = 178681536000.

The previous prime is 544141352543. The next prime is 544141352611. The reversal of 544141352544 is 445253141445.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 544141352496 and 544141352505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544141352543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788499 + ... + 2070509.

It is an arithmetic number, because the mean of its divisors is an integer number (15101742600).

Almost surely, 2544141352544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544141352544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724883644800).

544141352544 is an abundant number, since it is smaller than the sum of its proper divisors (905625937056).

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

544141352544 is a wasteful number, since it uses less digits than its factorization.

544141352544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282324 (or 282316 counting only the distinct ones).

The product of its digits is 768000, while the sum is 42.

Adding to 544141352544 its reverse (445253141445), we get a palindrome (989394493989).

The spelling of 544141352544 in words is "five hundred forty-four billion, one hundred forty-one million, three hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 199 202 303 398 404 597 606 796 808 1194 1212 1592 1616 2388 2424 3184 3232 4776 4848 6368 9552 9696 19104 20099 40198 60297 80396 120594 160792 241188 282011 321584 482376 564022 643168 846033 964752 1128044 1692066 1929504 2256088 3384132 4512176 6768264 9024352 13536528 27073056 28483111 56120189 56966222 85449333 112240378 113932444 168360567 170898666 224480756 227864888 336721134 341797332 448961512 455729776 673442268 683594664 897923024 911459552 1346884536 1367189328 1795846048 2693769072 2734378656 5387538144 5668139089 11336278178 17004417267 22672556356 34008834534 45345112712 68017669068 90690225424 136035338136 181380450848 272070676272 544141352544