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11414003330334 = 23111961443336827
BaseRepresentation
bin1010011000011000011110…
…0111010010110100011110
31111102011112111221221020110
42212012013213102310132
52444001334323032314
640135304251430450
72255430433343313
oct246060747226436
944364474857213
1011414003330334
113700719354690
12134413a755426
1364a449c69077
142b662543ad0a
1514bd87642a59
hexa61879d2d1e

11414003330334 has 128 divisors (see below), whose sum is σ = 26703939409920. Its totient is φ = 3215745187200.

The previous prime is 11414003330321. The next prime is 11414003330339. The reversal of 11414003330334 is 43303330041411.

11414003330334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414003330339) 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, 33718429 + ... + 34055255.

It is an arithmetic number, because the mean of its divisors is an integer number (208624526640).

Almost surely, 211414003330334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414003330334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351969704960).

11414003330334 is an abundant number, since it is smaller than the sum of its proper divisors (15289936079586).

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

11414003330334 is a wasteful number, since it uses less digits than its factorization.

11414003330334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337366.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 11414003330334 its reverse (43303330041411), we get a palindrome (54717333371745).

The spelling of 11414003330334 in words is "eleven trillion, four hundred fourteen billion, three million, three hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 61 66 114 122 183 209 366 418 443 627 671 886 1159 1254 1329 1342 2013 2318 2658 3477 4026 4873 6954 8417 9746 12749 14619 16834 25251 25498 27023 29238 38247 50502 54046 76494 81069 92587 162138 185174 277761 297253 336827 513437 555522 594506 673654 891759 1010481 1026874 1540311 1783518 2020962 3080622 3705097 5647807 6399713 7410194 11115291 11295614 12799426 16943421 19199139 20546447 22230582 33886842 38398278 41092894 61639341 70396843 123278682 140793686 149214361 211190529 226010917 298428722 390382493 422381058 447643083 452021834 678032751 780764986 895286166 1171147479 1356065502 1641357971 2342294958 2835072859 3282715942 4294207423 4924073913 5670145718 8505218577 8588414846 9102076021 9848147826 12882622269 17010437154 18204152042 25765244538 27306228063 31185801449 54612456126 62371602898 93557404347 100122836231 172939444399 187114808694 200245672462 300368508693 345878888798 518818333197 600737017386 1037636666394 1902333888389 3804667776778 5707001665167 11414003330334