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42241121340044 = 221121729346751061
BaseRepresentation
bin10011001101011000001110…
…00010000100101010001100
312112120012201101010001122012
421212230013002010222030
521014034304030340134
6225501145300240352
711616551236112414
oct1146540702045214
9175505641101565
1042241121340044
11125063a4855500
1248a27420a00b8
131a75422613573
14a606a450d644
154d3bc63046ce
hex266b07084a8c

42241121340044 has 144 divisors (see below), whose sum is σ = 89026715463840. Its totient is φ = 17442553497600.

The previous prime is 42241121340043. The next prime is 42241121340091. The reversal of 42241121340044 is 44004312114224.

It is a super-2 number, since 2×422411213400442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42241121340043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827242274 + ... + 827293334.

It is an arithmetic number, because the mean of its divisors is an integer number (618241079610).

Almost surely, 242241121340044 is an apocalyptic number.

42241121340044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42241121340044 is an abundant number, since it is smaller than the sum of its proper divisors (46785594123796).

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

42241121340044 is a wasteful number, since it uses less digits than its factorization.

42241121340044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54600 (or 54587 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 42241121340044 its reverse (44004312114224), we get a palindrome (86245433454268).

The spelling of 42241121340044 in words is "forty-two trillion, two hundred forty-one billion, one hundred twenty-one million, three hundred forty thousand, forty-four".

Divisors: 1 2 4 11 17 22 29 34 44 58 68 116 121 187 242 319 374 484 493 638 748 986 1276 1972 2057 3467 3509 4114 5423 6934 7018 8228 10846 13868 14036 21692 38137 51061 58939 59653 76274 100543 102122 117878 119306 152548 201086 204244 235756 238612 402172 419507 561671 648329 839014 868037 1105973 1123342 1296658 1480769 1678028 1709231 1736074 2211946 2246684 2593316 2961538 3418462 3472148 4423892 5923076 6178381 6836924 7131619 9548407 12165703 12356762 14263238 16288459 18801541 19096814 24331406 24713524 25173073 28526476 32576918 37603082 38193628 48662812 50346146 65153836 75206164 100692292 105032477 177028487 179173049 206816951 210064954 276903803 354056974 358346098 413633902 420129908 553807606 708113948 716692196 827267804 1107615212 1947313357 3009484279 3045941833 3894626714 5133826123 6018968558 6091883666 7789253428 10267652246 12037937116 12183767332 20535304492 21420446927 33104327069 42840893854 56472087353 66208654138 85681787708 87275044091 112944174706 132417308276 174550088182 225888349412 349100176364 364147597759 621192960883 728295195518 960025485001 1242385921766 1456590391036 1920050970002 2484771843532 3840101940004 10560280335011 21120560670022 42241121340044