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409281200040 = 23353410676667
BaseRepresentation
bin1011111010010110000…
…11110111111110101000
31110010102111210011221110
411331023003313332220
523201201441400130
6512004324310320
741366240541156
oct5751303677650
91403374704843
10409281200040
11148636627359
12673a35423a0
132c79743629b
1415b48a963d6
15a9a661dab0
hex5f4b0f7fa8

409281200040 has 32 divisors (see below), whose sum is σ = 1227843600480. Its totient is φ = 109141653312.

The previous prime is 409281200039. The next prime is 409281200051. The reversal of 409281200040 is 40002182904.

It is a super-2 number, since 2×4092812000402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 409281199980 and 409281200007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1705338214 + ... + 1705338453.

It is an arithmetic number, because the mean of its divisors is an integer number (38370112515).

Almost surely, 2409281200040 is an apocalyptic number.

409281200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409281200040 is an abundant number, since it is smaller than the sum of its proper divisors (818562400440).

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

409281200040 is a wasteful number, since it uses less digits than its factorization.

409281200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410676681 (or 3410676677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 409281200040 its reverse (40002182904), we get a palindrome (449283382944).

The spelling of 409281200040 in words is "four hundred nine billion, two hundred eighty-one million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3410676667 6821353334 10232030001 13642706668 17053383335 20464060002 27285413336 34106766670 40928120004 51160150005 68213533340 81856240008 102320300010 136427066680 204640600020 409281200040