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140414201202301 = 13173767210337139
BaseRepresentation
bin11111111011010010111010…
…100101011000011001111101
3200102011110121002212201211121
4133323102322211120121331
5121401021241001433201
61214345221000150541
741401406542311205
oct3773227245303175
9612143532781747
10140414201202301
1140816367a96074
12138b9267a68451
136047005246210
14269612557d405
151137767a0d9a1
hex7fb4ba95867d

140414201202301 has 96 divisors (see below), whose sum is σ = 168553744369920. Its totient is φ = 115782027761664.

The previous prime is 140414201202293. The next prime is 140414201202329. The reversal of 140414201202301 is 103202102414041.

It is not a de Polignac number, because 140414201202301 - 23 = 140414201202293 is a prime.

It is a super-2 number, since 2×1404142012023012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414201292301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3780756390 + ... + 3780793528.

It is an arithmetic number, because the mean of its divisors is an integer number (1755768170520).

Almost surely, 2140414201202301 is an apocalyptic number.

It is an amenable number.

140414201202301 is a deficient number, since it is larger than the sum of its proper divisors (28139543167619).

140414201202301 is a wasteful number, since it uses less digits than its factorization.

140414201202301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37443 (or 37376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 140414201202301 its reverse (103202102414041), we get a palindrome (243616303616342).

The spelling of 140414201202301 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred one million, two hundred two thousand, three hundred one".

Divisors: 1 13 17 37 67 103 221 481 629 871 1139 1339 1751 2479 3811 4489 6901 8177 14807 22763 32227 37139 42143 49543 58357 64787 76313 89713 117317 166093 255337 462367 482807 547859 631363 842231 992069 1374143 1525121 2159209 2488313 2823581 3319381 3825317 4340729 6010771 7860239 8207719 17107579 17863859 23360431 32348069 36706553 42301321 49729121 56429477 65030389 92067581 102183107 141536729 166716971 222398527 256296239 290828843 303685603 549917173 845395057 1196878553 1565148877 1839977477 2167320623 2406124393 2834188507 3331851107 3780774959 4357036063 6168527927 9482960843 17171848013 20346935401 31279617109 36844450591 56641468819 80190863051 104864974759 123278490959 161210334331 223234024169 291921416221 635358376481 1363244671867 2095734346303 3794978410873 8259658894253 10801092400177 140414201202301