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414111214324 = 221992168323993
BaseRepresentation
bin1100000011010101111…
…00111010101011110100
31110120220010022022221101
412001222330322223310
523241044432324244
6514123504255444
741630030146363
oct6015274725364
91416803268841
10414111214324
1114a694a915a5
1268311011584
1330086cb91c2
14160863497da
15ab8a6990d4
hex606af3aaf4

414111214324 has 24 divisors (see below), whose sum is σ = 728400254400. Its totient is φ = 205997039424.

The previous prime is 414111214313. The next prime is 414111214327. The reversal of 414111214324 is 423412111414.

It is a happy number.

It is a super-3 number, since 3×4141112143243 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414111214292 and 414111214301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414111214327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17247672 + ... + 17271664.

It is an arithmetic number, because the mean of its divisors is an integer number (30350010600).

Almost surely, 2414111214324 is an apocalyptic number.

It is an amenable number.

414111214324 is a deficient number, since it is larger than the sum of its proper divisors (314289040076).

414111214324 is a wasteful number, since it uses less digits than its factorization.

414111214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45879 (or 45877 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 414111214324 its reverse (423412111414), we get a palindrome (837523325738).

The spelling of 414111214324 in words is "four hundred fourteen billion, one hundred eleven million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 4 199 398 796 21683 23993 43366 47986 86732 95972 4314917 4774607 8629834 9549214 17259668 19098428 520240219 1040480438 2080960876 103527803581 207055607162 414111214324