Search a number
-
+
314024020322301 = 32318391341518621
BaseRepresentation
bin100011101100110100110101…
…0001011101010011111111101
31112011212101212220100100021100
41013121221222023222133331
5312124432143200303201
63031512350550123313
7123100325651411622
oct10731515213523775
91464771786310240
10314024020322301
119106a925978843
122b277b61050539
131062b45191c113
145778bb50b0349
152648743414886
hex11d9a6a2ea7fd

314024020322301 has 24 divisors (see below), whose sum is σ = 468780267271680. Its totient is φ = 202354668640800.

The previous prime is 314024020322267. The next prime is 314024020322359. The reversal of 314024020322301 is 103223020420413.

314024020322301 is a `hidden beast` number, since 3 + 1 + 402 + 4 + 0 + 20 + 3 + 2 + 230 + 1 = 666.

It is not a de Polignac number, because 314024020322301 - 215 = 314024020289533 is a prime.

It is a super-2 number, since 2×3140240203223012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314024020322101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670525230 + ... + 670993391.

It is an arithmetic number, because the mean of its divisors is an integer number (19532511136320).

Almost surely, 2314024020322301 is an apocalyptic number.

314024020322301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

314024020322301 is a deficient number, since it is larger than the sum of its proper divisors (154756246949379).

314024020322301 is a wasteful number, since it uses less digits than its factorization.

314024020322301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341519497 (or 1341519494 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 314024020322301 its reverse (103223020420413), we get a palindrome (417247040742714).

The spelling of 314024020322301 in words is "three hundred fourteen trillion, twenty-four billion, twenty million, three hundred twenty-two thousand, three hundred one".

Divisors: 1 3 9 31 93 279 839 2517 7551 26009 78027 234081 1341518621 4024555863 12073667589 41587077251 124761231753 374283695259 1125534123019 3376602369057 10129807107171 34891557813589 104674673440767 314024020322301