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1014524542304 = 257213229217339
BaseRepresentation
bin11101100001101100101…
…11111111110101100000
310120222122221220121211022
432300312113333311200
5113110221240323204
62054022141505012
7133203602216300
oct16606627776540
93528587817738
101014524542304
11361291723569
12144756272168
1374891473580
1437163463600
151b5cb95e5be
hexec365ffd60

1014524542304 has 144 divisors (see below), whose sum is σ = 2513106766800. Its totient is φ = 399595908096.

The previous prime is 1014524542289. The next prime is 1014524542357. The reversal of 1014524542304 is 4032454254101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4559267 + ... + 4776605.

It is an arithmetic number, because the mean of its divisors is an integer number (17452130325).

Almost surely, 21014524542304 is an apocalyptic number.

1014524542304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014524542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256553383400).

1014524542304 is an abundant number, since it is smaller than the sum of its proper divisors (1498582224496).

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

1014524542304 is a wasteful number, since it uses less digits than its factorization.

1014524542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217605 (or 217590 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 1014524542304 its reverse (4032454254101), we get a palindrome (5046978796405).

The spelling of 1014524542304 in words is "one trillion, fourteen billion, five hundred twenty-four million, five hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 229 364 392 416 458 637 728 784 916 1274 1456 1568 1603 1832 2548 2912 2977 3206 3664 5096 5954 6412 7328 10192 11221 11908 12824 20384 20839 22442 23816 25648 41678 44884 47632 51296 83356 89768 95264 145873 166712 179536 217339 291746 333424 359072 434678 583492 666848 869356 1166984 1521373 1738712 2333968 2825407 3042746 3477424 4667936 5650814 6085492 6954848 10649611 11301628 12170984 19777849 21299222 22603256 24341968 39555698 42598444 45206512 48683936 49770631 79111396 85196888 90413024 99541262 138444943 158222792 170393776 199082524 276889886 316445584 340787552 348394417 398165048 553779772 632891168 647018203 696788834 796330096 1107559544 1294036406 1393577668 1592660192 2215119088 2438760919 2588072812 2787155336 4430238176 4529127421 4877521838 5176145624 5574310672 9058254842 9755043676 10352291248 11148621344 18116509684 19510087352 20704582496 31703891947 36233019368 39020174704 63407783894 72466038736 78040349408 126815567788 144932077472 253631135576 507262271152 1014524542304