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14142425242110 = 235111391249124683
BaseRepresentation
bin1100110111001100101000…
…1110111001100111111110
31212002000001221010220020120
43031303022032321213332
53323202141330221420
650024535050155410
72656520324054424
oct315631216714776
955060057126216
1014142425242110
1145628503a2050
121704a91722b66
137b78180cc039
1436c6d5c0b114
15197d249ced40
hexcdcca3b99fe

14142425242110 has 128 divisors (see below), whose sum is σ = 37298321786880. Its totient is φ = 3403391107200.

The previous prime is 14142425242087. The next prime is 14142425242123. The reversal of 14142425242110 is 1124252424141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572949829 + ... + 572974511.

It is an arithmetic number, because the mean of its divisors is an integer number (291393138960).

Almost surely, 214142425242110 is an apocalyptic number.

14142425242110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142425242110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649160893440).

14142425242110 is an abundant number, since it is smaller than the sum of its proper divisors (23155896544770).

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

14142425242110 is a wasteful number, since it uses less digits than its factorization.

14142425242110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37334.

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 14142425242110 its reverse (1124252424141), we get a palindrome (15266677666251).

The spelling of 14142425242110 in words is "fourteen trillion, one hundred forty-two billion, four hundred twenty-five million, two hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 278 330 417 695 834 1390 1529 2085 3058 4170 4587 7645 9174 12491 15290 22935 24683 24982 37473 45870 49366 62455 74049 74946 123415 124910 137401 148098 187365 246830 271513 274802 370245 374730 412203 543026 687005 740490 814539 824406 1357565 1374010 1629078 1736249 2061015 2715130 3430937 3472498 4072695 4122030 5208747 6861874 8145390 8681245 10292811 10417494 17154685 17362490 19098739 20585622 26043735 34309370 37740307 38197478 51464055 52087470 57296217 75480614 95493695 102928110 113220921 114592434 188701535 190987390 226441842 286481085 308315353 377403070 566104605 572962170 616630706 924946059 1132209210 1541576765 1849892118 3083153530 3391468883 4624730295 6782937766 9249460590 10174406649 16957344415 20348813298 33914688830 42855834067 50872033245 85711668134 101744066490 128567502201 214279170335 257135004402 428558340670 471414174737 642837511005 942828349474 1285675022010 1414242524211 2357070873685 2828485048422 4714141747370 7071212621055 14142425242110