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412440000324 = 223112284049587
BaseRepresentation
bin1100000000001110101…
…01101111011101000100
31110102120122121212022120
412000013111233131010
523224134120002244
6513250004325540
741540435105352
oct6000725573504
91412518555276
10412440000324
11149a0769a800
1267b253a38b0
132cb7b9ab191
1415d683d87d2
15aaddace819
hex600756f744

412440000324 has 36 divisors (see below), whose sum is σ = 1057800665712. Its totient is φ = 124981817840.

The previous prime is 412440000299. The next prime is 412440000331. The reversal of 412440000324 is 423000044214.

It is a happy number.

It is a super-2 number, since 2×4124400003242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412440000294 and 412440000303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142023342 + ... + 142026245.

Almost surely, 2412440000324 is an apocalyptic number.

412440000324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412440000324 is an abundant number, since it is smaller than the sum of its proper divisors (645360665388).

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

412440000324 is a wasteful number, since it uses less digits than its factorization.

412440000324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284049616 (or 284049603 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412440000324 its reverse (423000044214), we get a palindrome (835440044538).

The spelling of 412440000324 in words is "four hundred twelve billion, four hundred forty million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 284049587 568099174 852148761 1136198348 1704297522 3124545457 3408595044 6249090914 9373636371 12498181828 18747272742 34370000027 37494545484 68740000054 103110000081 137480000108 206220000162 412440000324