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412005531040 = 2552575034569
BaseRepresentation
bin1011111111011010111…
…00010111110110100000
31110101110101002112111121
411333231130113312200
523222241403443130
6513134524222024
741523611142145
oct5775534276640
91411411075447
10412005531040
11149804421584
1267a2399a914
132cb0c98b56c
1415d268203cc
15aab58acd7a
hex5fed717da0

412005531040 has 24 divisors (see below), whose sum is σ = 973363067460. Its totient is φ = 164802212352.

The previous prime is 412005531029. The next prime is 412005531053. The reversal of 412005531040 is 40135500214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 405111882256 + 6893648784 = 636484^2 + 83028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412005530996 and 412005531014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1287517125 + ... + 1287517444.

Almost surely, 2412005531040 is an apocalyptic number.

412005531040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412005531040 is an abundant number, since it is smaller than the sum of its proper divisors (561357536420).

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

412005531040 is a wasteful number, since it uses less digits than its factorization.

412005531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575034584 (or 2575034576 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 412005531040 in words is "four hundred twelve billion, five million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2575034569 5150069138 10300138276 12875172845 20600276552 25750345690 41200553104 51500691380 82401106208 103001382760 206002765520 412005531040