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414131712 = 293269617
BaseRepresentation
bin11000101011110…
…010011000000000
31001212021001220120
4120223302120000
51322004203322
6105032140240
713156030041
oct3053623000
91055231816
10414131712
111a2848315
12b6837680
1367a4b967
143d0028c8
1526555a5c
hex18af2600

414131712 has 40 divisors (see below), whose sum is σ = 1103276856. Its totient is φ = 138043392.

The previous prime is 414131689. The next prime is 414131717. The reversal of 414131712 is 217131414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414131717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133273 + ... + 136344.

Almost surely, 2414131712 is an apocalyptic number.

It is an amenable number.

414131712 is an abundant number, since it is smaller than the sum of its proper divisors (689145144).

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

414131712 is an equidigital number, since it uses as much as digits as its factorization.

414131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269638 (or 269622 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 414131712 is about 20350.2263378076. The cubic root of 414131712 is about 745.3830212198.

It can be divided in two parts, 4141 and 31712, that added together give a palindrome (35853).

The spelling of 414131712 in words is "four hundred fourteen million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 269617 539234 808851 1078468 1617702 2156936 3235404 4313872 6470808 8627744 12941616 17255488 25883232 34510976 51766464 69021952 103532928 138043904 207065856 414131712