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414132323231414 = 27313747874325161
BaseRepresentation
bin101111000101001101011001…
…0000001000010011010110110
32000022022122220122200200220002
41132022122302001002122312
5413240120444221401124
64024441432440111302
7153142034014236614
oct13612326201023266
92008278818620802
10414132323231414
1110aa56594069577
123a545751165532
1314a10683793868
14743a17b93a6b4
1532d27ead000ae
hex178a6b20426b6

414132323231414 has 32 divisors (see below), whose sum is σ = 634437114597216. Its totient is φ = 202696512721920.

The previous prime is 414132323231401. The next prime is 414132323231437.

414132323231414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4141323232314142 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93586994 + ... + 97912154.

It is an arithmetic number, because the mean of its divisors is an integer number (19826159831163).

Almost surely, 2414132323231414 is an apocalyptic number.

414132323231414 is a deficient number, since it is larger than the sum of its proper divisors (220304791365802).

414132323231414 is a wasteful number, since it uses less digits than its factorization.

414132323231414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330160.

The product of its digits is 165888, while the sum is 38.

The spelling of 414132323231414 in words is "four hundred fourteen trillion, one hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 73 137 146 274 4787 9574 10001 20002 349451 655819 698902 1311638 4325161 8650322 47874787 95749574 315736753 592547057 631473506 1185094114 20704545707 41409091414 43255935161 86511870322 1511431836611 2836522761859 3022863673222 5673045523718 207066161615707 414132323231414