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42334100143324 = 2211107179178728111
BaseRepresentation
bin10011010000000101011010…
…00000000011110011011100
312112220002201020010122122221
421220002231000003303130
521022100214114041244
6230012003410515124
711626352315646553
oct1150025500036334
9175802636118587
1042334100143324
1112541877979590
1248b8770595aa4
131a8111c608022
14a64da4c96d9a
154d6318e39784
hex2680ad003cdc

42334100143324 has 96 divisors (see below), whose sum is σ = 82079519477760. Its totient is φ = 18945155025600.

The previous prime is 42334100143319. The next prime is 42334100143373.

42334100143324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42334100143324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505948029 + ... + 1505976139.

It is an arithmetic number, because the mean of its divisors is an integer number (854994994560).

Almost surely, 242334100143324 is an apocalyptic number.

42334100143324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42334100143324 is a deficient number, since it is larger than the sum of its proper divisors (39745419334436).

42334100143324 is a wasteful number, since it uses less digits than its factorization.

42334100143324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30199 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 42334100 and 143324, that added together give a palindrome (42477424).

The spelling of 42334100143324 in words is "forty-two trillion, three hundred thirty-four billion, one hundred million, one hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 107 179 214 358 428 716 1177 1787 1969 2354 3574 3938 4708 7148 7876 19153 19657 28111 38306 39314 56222 76612 78628 112444 191209 210683 309221 319873 382418 421366 618442 639746 764836 842732 1236884 1279492 2103299 3007877 3518603 4206598 5031869 6015754 7037206 8413196 10063738 12031508 14074412 20127476 33086647 34226411 50234357 55350559 66173294 68452822 100468714 110701118 132346588 136905644 200937428 221402236 376490521 538409983 552577927 752981042 1076819966 1105155854 1505962084 2153639932 2210311708 5375076199 5922509813 8991949903 10750152398 11845019626 17983899806 21500304796 23690039252 35967799612 59125838189 98911448933 118251676378 197822897866 236503352756 395645795732 962138639621 1924277279242 3848554558484 10583525035831 21167050071662 42334100143324