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40007101369 is a prime number
BaseRepresentation
bin100101010000100110…
…111110101110111001
310211021011102022202011
4211100212332232321
51123413304220434
630213511005521
72614261515334
oct452046765671
9124234368664
1040007101369
1115a6aa69444
1279063698a1
133a0769a961
141d174d961b
15109243ae64
hex9509bebb9

40007101369 has 2 divisors, whose sum is σ = 40007101370. Its totient is φ = 40007101368.

The previous prime is 40007101361. The next prime is 40007101427. The reversal of 40007101369 is 96310170004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39825390969 + 181710400 = 199563^2 + 13480^2 .

It is a cyclic number.

It is not a de Polignac number, because 40007101369 - 23 = 40007101361 is a prime.

It is a super-2 number, since 2×400071013692 (a number of 22 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 40007101369.

It is not a weakly prime, because it can be changed into another prime (40007101361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20003550684 + 20003550685.

It is an arithmetic number, because the mean of its divisors is an integer number (20003550685).

Almost surely, 240007101369 is an apocalyptic number.

It is an amenable number.

40007101369 is a deficient number, since it is larger than the sum of its proper divisors (1).

40007101369 is an equidigital number, since it uses as much as digits as its factorization.

40007101369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

It can be divided in two parts, 40007 and 101369, that added together give a square (141376 = 3762).

The spelling of 40007101369 in words is "forty billion, seven million, one hundred one thousand, three hundred sixty-nine".