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42443043014112 = 25313126192695051
BaseRepresentation
bin10011010011010000010101…
…00000001000010111100000
312120021111220122100220101020
421221220022200020113200
521030341323002422422
6230134021554405440
711640260113036626
oct1151501240102740
9176244818326336
1042443043014112
1112583aa2325894
1249158b5290880
131a8b491ab4690
14a6a37b8db516
154d909331895c
hex269a0a8085e0

42443043014112 has 96 divisors (see below), whose sum is σ = 119992770414720. Its totient is φ = 13058358105600.

The previous prime is 42443043014111. The next prime is 42443043014191. The reversal of 42443043014112 is 21141034034424.

It is a happy number.

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

It is a super-2 number, since 2×424430430141122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42443043014111) 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, 14400987 + ... + 17096037.

It is an arithmetic number, because the mean of its divisors is an integer number (1249924691820).

Almost surely, 242443043014112 is an apocalyptic number.

It is an amenable number.

42443043014112 is an abundant number, since it is smaller than the sum of its proper divisors (77549727400608).

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

42443043014112 is a wasteful number, since it uses less digits than its factorization.

42443043014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707696 (or 2707688 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42443043014112 its reverse (21141034034424), we get a palindrome (63584077048536).

The spelling of 42443043014112 in words is "forty-two trillion, four hundred forty-three billion, forty-three million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 12619 25238 37857 50476 75714 100952 151428 164047 201904 302856 328094 403808 492141 605712 656188 984282 1211424 1312376 1968564 2624752 2695051 3937128 5249504 5390102 7874256 8085153 10780204 15748512 16170306 21560408 32340612 35035663 43120816 64681224 70071326 86241632 105106989 129362448 140142652 210213978 258724896 280285304 420427956 560570608 840855912 1121141216 1681711824 3363423648 34008848569 68017697138 102026545707 136035394276 204053091414 272070788552 408106182828 442115031397 544141577104 816212365656 884230062794 1088283154208 1326345094191 1632424731312 1768460125588 2652690188382 3264849462624 3536920251176 5305380376764 7073840502352 10610760753528 14147681004704 21221521507056 42443043014112