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11414021142114 = 2334760721373467
BaseRepresentation
bin1010011000011000100010…
…1011001111011001100010
31111102011120202110212102000
42212012020223033121202
52444001403403021424
640135310125304430
72255431040626563
oct246061053173142
944364522425360
1011414021142114
11370072840a968
121344144705116
1364a450864496
142b662795616a
1514bd88eb03c9
hexa6188acf662

11414021142114 has 128 divisors (see below), whose sum is σ = 25966466334720. Its totient is φ = 3714777168768.

The previous prime is 11414021142047. The next prime is 11414021142119. The reversal of 11414021142114 is 41124112041411.

It is a happy number.

11414021142114 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 402 + 1 + 142 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11414021142119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3292187809 + ... + 3292191275.

It is an arithmetic number, because the mean of its divisors is an integer number (202863018240).

Almost surely, 211414021142114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414021142114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983233167360).

11414021142114 is an abundant number, since it is smaller than the sum of its proper divisors (14552445192606).

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

11414021142114 is a wasteful number, since it uses less digits than its factorization.

11414021142114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 11414021142114 its reverse (41124112041411), we get a palindrome (52538133183525).

The spelling of 11414021142114 in words is "eleven trillion, four hundred fourteen billion, twenty-one million, one hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 607 846 1214 1269 1821 2137 2538 3467 3642 4274 5463 6411 6934 10401 10926 12822 16389 19233 20802 28529 31203 32778 38466 57058 57699 62406 85587 93609 100439 115398 162949 171174 187218 200878 256761 301317 325898 488847 513522 602634 770283 903951 977694 1297159 1466541 1540566 1807902 2104469 2594318 2711853 2933082 3891477 4208938 4399623 5423706 6313407 7408979 7782954 8799246 11674431 12626814 14817958 18940221 22226937 23348862 35023293 37880442 44453874 56820663 60966473 66680811 70046586 98910043 113641326 121932946 133361622 182899419 197820086 200042433 296730129 348222013 365798838 400084866 548698257 593460258 696444026 890190387 1044666039 1097396514 1646094771 1780380774 2089332078 2670571161 3133998117 3292189542 4497250253 5341142322 6267996234 8994500506 9401994351 13491750759 18803988702 26983501518 40475252277 80950504554 121425756831 211370761891 242851513662 422741523782 634112285673 1268224571346 1902336857019 3804673714038 5707010571057 11414021142114