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414234001204301 = 831131911991161991
BaseRepresentation
bin101111000101111100101111…
…0011111101110010001001101
32000022200101100202201220012202
41132023321132133232101031
5413243302213302014201
64025000250104011245
7153152263464606425
oct13613713637562115
92008611322656182
10414234001204301
1110aa95720692523
123a5613a8a60b25
1314a1a138b09865
14744106578b485
1532d529c4dbc6b
hex178be5e7ee44d

414234001204301 has 32 divisors (see below), whose sum is σ = 427285839052800. Its totient is φ = 401469961939200.

The previous prime is 414234001204267. The next prime is 414234001204351. The reversal of 414234001204301 is 103402100432414.

It is a cyclic number.

It is not a de Polignac number, because 414234001204301 - 230 = 414232927462477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414234001204351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355905416 + ... + 357067406.

It is an arithmetic number, because the mean of its divisors is an integer number (13352682470400).

Almost surely, 2414234001204301 is an apocalyptic number.

It is an amenable number.

414234001204301 is a deficient number, since it is larger than the sum of its proper divisors (13051837848499).

414234001204301 is a wasteful number, since it uses less digits than its factorization.

414234001204301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162577.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414234001204301 its reverse (103402100432414), we get a palindrome (517636101636715).

The spelling of 414234001204301 in words is "four hundred fourteen trillion, two hundred thirty-four billion, one million, two hundred four thousand, three hundred one".

Divisors: 1 83 113 191 199 9379 15853 16517 21583 22487 38009 1161991 1791389 1866421 3154747 4295017 96445253 131304983 221940281 231236209 356486411 10898313589 18421043323 19192605347 25079251753 26129691617 44166115919 2081577895499 2168764404211 3665787621277 4990771098847 414234001204301