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3234314141401 = 721061212929221
BaseRepresentation
bin101111000100001100001…
…001010011111011011001
3102110012022220122221202111
4233010030021103323121
5410442333410011101
610513453504432321
7452446214411500
oct57041411237331
912405286587674
103234314141401
111037735018222
124429b93186a1
131a5cc0c45255
14b278238b837
15591ea41b251
hex2f10c253ed9

3234314141401 has 24 divisors (see below), whose sum is σ = 3767809287240. Its totient is φ = 2768260723200.

The previous prime is 3234314141339. The next prime is 3234314141449. The reversal of 3234314141401 is 1041414134323.

3234314141401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2948381401 + 3231365760000 = 54299^2 + 1797600^2 .

It is not a de Polignac number, because 3234314141401 - 213 = 3234314133209 is a prime.

It is a super-3 number, since 3×32343141414013 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3234314141491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110669971 + ... + 110699191.

It is an arithmetic number, because the mean of its divisors is an integer number (156992053635).

Almost surely, 23234314141401 is an apocalyptic number.

It is an amenable number.

3234314141401 is a deficient number, since it is larger than the sum of its proper divisors (533495145839).

3234314141401 is a wasteful number, since it uses less digits than its factorization.

3234314141401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425 (or 32418 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 3234314141401 its reverse (1041414134323), we get a palindrome (4275728275724).

The spelling of 3234314141401 in words is "three trillion, two hundred thirty-four billion, three hundred fourteen million, one hundred forty-one thousand, four hundred one".

Divisors: 1 7 49 1061 2129 7427 14903 29221 51989 104321 204547 1431829 2258869 15812083 31003481 62211509 110684581 217024367 435480563 1519170569 3048363941 66006411049 462044877343 3234314141401