Search a number
-
+
4000701347107 is a prime number
BaseRepresentation
bin111010001101111100011…
…000011111010100100011
3112011110111202101211021221
4322031330120133110203
51011021414021101412
612301521414155511
7562020052234633
oct72157430372443
915143452354257
104000701347107
111302762681083
12547442952b97
132303591ba01a
14db8c65486c3
156e102846b07
hex3a37c61f523

4000701347107 has 2 divisors, whose sum is σ = 4000701347108. Its totient is φ = 4000701347106.

The previous prime is 4000701347101. The next prime is 4000701347119. The reversal of 4000701347107 is 7017431070004.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4000701347107 - 215 = 4000701314339 is a prime.

It is a super-2 number, since 2×40007013471072 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4000701347101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000350673553 + 2000350673554.

It is an arithmetic number, because the mean of its divisors is an integer number (2000350673554).

Almost surely, 24000701347107 is an apocalyptic number.

4000701347107 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000701347107 is an equidigital number, since it uses as much as digits as its factorization.

4000701347107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 4000701347107 in words is "four trillion, seven hundred one million, three hundred forty-seven thousand, one hundred seven".