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140414201220013 = 75312591473120407
BaseRepresentation
bin11111111011010010111010…
…100101011100101110101101
3200102011110121002220122010121
4133323102322211130232231
5121401021241003020023
61214345221000404541
741401406542413640
oct3773227245345655
9612143532818117
10140414201220013
1140816367aa8406
12138b9267a76751
1360470052512b6
142696125585a57
151137767a13d5d
hex7fb4ba95cbad

140414201220013 has 32 divisors (see below), whose sum is σ = 163650165073920. Its totient is φ = 117976596828480.

The previous prime is 140414201219983. The next prime is 140414201220031. The reversal of 140414201220013 is 310022102414041.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-140414201220013 is a prime.

It is a super-2 number, since 2×1404142012200132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140414201220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414202220013) 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, 6880677856 + ... + 6880698262.

It is an arithmetic number, because the mean of its divisors is an integer number (5114067658560).

Almost surely, 2140414201220013 is an apocalyptic number.

It is an amenable number.

140414201220013 is a deficient number, since it is larger than the sum of its proper divisors (23235963853907).

140414201220013 is a wasteful number, since it uses less digits than its factorization.

140414201220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36457.

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

Adding to 140414201220013 its reverse (310022102414041), we get a palindrome (450436303634054).

The spelling of 140414201220013 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred one million, two hundred twenty thousand, thirteen".

Divisors: 1 7 53 371 1259 8813 14731 20407 66727 103117 142849 467089 780743 1081571 5465201 7570997 18546329 25692413 129824303 179846891 300615517 982955437 1361697889 2104308619 6880688059 9531885223 15932622401 111528356807 378474935903 2649324551321 20059171602859 140414201220013