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414412310142404 = 22761415627583769
BaseRepresentation
bin101111000111001111110001…
…0100010010101110111000100
32000100022102121102110110122022
41132032133202202111313010
5413304212402344024104
64025214215335222312
7153201205240562060
oct13616374242256704
92010272542413568
10414412310142404
11110054301406892
123a58ba70217998
1314a30bb42b3c62
14744993cb4aaa0
1532d9c36509bbe
hex178e7e2895dc4

414412310142404 has 48 divisors (see below), whose sum is σ = 842415379048320. Its totient is φ = 174692994312960.

The previous prime is 414412310142377. The next prime is 414412310142409. The reversal of 414412310142404 is 404241013214414.

It is not an unprimeable number, because it can be changed into a prime (414412310142409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709599032 + ... + 710182800.

It is an arithmetic number, because the mean of its divisors is an integer number (17550320396840).

Almost surely, 2414412310142404 is an apocalyptic number.

It is an amenable number.

414412310142404 is an abundant number, since it is smaller than the sum of its proper divisors (428003068905916).

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

414412310142404 is a wasteful number, since it uses less digits than its factorization.

414412310142404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999468 (or 999466 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 414412310142404 its reverse (404241013214414), we get a palindrome (818653323356818).

The spelling of 414412310142404 in words is "four hundred fourteen trillion, four hundred twelve billion, three hundred ten million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 61 122 244 427 854 1708 415627 583769 831254 1167538 1662508 2335076 2909389 4086383 5818778 8172766 11637556 16345532 25353247 35609909 50706494 71219818 101412988 142439636 177472729 249269363 354945458 498538726 709890916 997077452 242630158163 485260316326 970520632652 1698411107141 3396822214282 6793644428564 14800439647943 29600879295886 59201758591772 103603077535601 207206155071202 414412310142404