Search a number
-
+
239931307329 = 3715803722983
BaseRepresentation
bin1101111101110100000…
…1010011010101000001
3211221022020002021100220
43133131001103111001
512412334403313304
6302120052333253
723222502314430
oct3373501232501
9757266067326
10239931307329
1192832a7143a
123a600614229
131981909cc8c
14b8814cb117
156393ddcad9
hex37dd053541

239931307329 has 16 divisors (see below), whose sum is σ = 365633252352. Its totient is φ = 137094738768.

The previous prime is 239931307289. The next prime is 239931307339. The reversal of 239931307329 is 923703139932.

239931307329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 239931307329 - 229 = 239394436417 is a prime.

It is a super-2 number, since 2×2399313073292 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (239931307339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29629 + ... + 693354.

It is an arithmetic number, because the mean of its divisors is an integer number (22852078272).

Almost surely, 2239931307329 is an apocalyptic number.

It is an amenable number.

239931307329 is a deficient number, since it is larger than the sum of its proper divisors (125701945023).

239931307329 is a wasteful number, since it uses less digits than its factorization.

239931307329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738796.

The product of its (nonzero) digits is 1653372, while the sum is 51.

The spelling of 239931307329 in words is "two hundred thirty-nine billion, nine hundred thirty-one million, three hundred seven thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 15803 47409 110621 331863 722983 2168949 5060881 15182643 11425300349 34275901047 79977102443 239931307329