Search a number
-
+
40145016141 = 324460557349
BaseRepresentation
bin100101011000110101…
…000101010101001101
310211121202221010020200
4211120311011111031
51124204111004031
630235315004113
72620555002246
oct453065052515
9124552833220
1040145016141
11160308a689a
127944599639
133a2a127b29
141d2b959ccd
15109e5ce8e6
hex958d4554d

40145016141 has 6 divisors (see below), whose sum is σ = 57987245550. Its totient is φ = 26763344088.

The previous prime is 40145016127. The next prime is 40145016167. The reversal of 40145016141 is 14161054104.

40145016141 is a `hidden beast` number, since 4 + 0 + 1 + 45 + 0 + 1 + 614 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39144622500 + 1000393641 = 197850^2 + 31629^2 .

It is not a de Polignac number, because 40145016141 - 29 = 40145015629 is a prime.

It is a super-2 number, since 2×401450161412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40145016341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2230278666 + ... + 2230278683.

It is an arithmetic number, because the mean of its divisors is an integer number (9664540925).

Almost surely, 240145016141 is an apocalyptic number.

It is an amenable number.

40145016141 is a deficient number, since it is larger than the sum of its proper divisors (17842229409).

40145016141 is a wasteful number, since it uses less digits than its factorization.

40145016141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460557355 (or 4460557352 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 40145016141 in words is "forty billion, one hundred forty-five million, sixteen thousand, one hundred forty-one".

Divisors: 1 3 9 4460557349 13381672047 40145016141