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10442334203340 = 22351323582069911
BaseRepresentation
bin1001011111110100101110…
…0111101110110111001100
31100222021111020001222100020
42113331023213232313030
52332041400024001330
634113050410102140
72125301530133544
oct227751347566714
940867436058306
1010442334203340
113366629476a26
12120796471a950
135a9928308510
142815a98b2324
151319681ee210
hex97f4b9eedcc

10442334203340 has 96 divisors (see below), whose sum is σ = 32856682392576. Its totient is φ = 2458663299840.

The previous prime is 10442334203311. The next prime is 10442334203341. The reversal of 10442334203340 is 4330243324401.

It is a happy number.

It is a super-2 number, since 2×104423342033402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10442334203341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291017016 + ... + 291052895.

It is an arithmetic number, because the mean of its divisors is an integer number (342257108256).

Almost surely, 210442334203340 is an apocalyptic number.

10442334203340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442334203340 is an abundant number, since it is smaller than the sum of its proper divisors (22414348189236).

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

10442334203340 is a wasteful number, since it uses less digits than its factorization.

10442334203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582069959 (or 582069957 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 10442334203340 its reverse (4330243324401), we get a palindrome (14772577527741).

The spelling of 10442334203340 in words is "ten trillion, four hundred forty-two billion, three hundred thirty-four million, two hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 17940 582069911 1164139822 1746209733 2328279644 2910349555 3492419466 5820699110 6984838932 7566908843 8731048665 11641398220 13387607953 15133817686 17462097330 22700726529 26775215906 30267635372 34924194660 37834544215 40162823859 45401453058 53550431812 66938039765 75669088430 80325647718 90802906116 113503632645 133876079530 151338176860 160651295436 174038903389 200814119295 227007265290 267752159060 348077806778 401628238590 454014530580 522116710167 696155613556 803256477180 870194516945 1044233420334 1740389033890 2088466840668 2610583550835 3480778067780 5221167101670 10442334203340