Search a number
-
+
314301123324 = 2232171399736691
BaseRepresentation
bin1001001001011011100…
…11101000101011111100
31010001021012000100212100
410210231303220223330
520122142041421244
6400215443505100
731464450316416
oct4445563505374
91101235010770
10314301123324
11111326876991
1250ab6988190
132383b93c966
14112d86019b6
158297e73b69
hex492dce8afc

314301123324 has 72 divisors (see below), whose sum is σ = 841300741008. Its totient is φ = 98594542080.

The previous prime is 314301123289. The next prime is 314301123403. The reversal of 314301123324 is 423321103413.

It is a happy number.

314301123324 is a `hidden beast` number, since 3 + 14 + 301 + 1 + 23 + 324 = 666.

It is a super-2 number, since 2×3143011233242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8547819 + ... + 8584509.

It is an arithmetic number, because the mean of its divisors is an integer number (11684732514).

Almost surely, 2314301123324 is an apocalyptic number.

314301123324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314301123324 is an abundant number, since it is smaller than the sum of its proper divisors (526999617684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314301123324 is a wasteful number, since it uses less digits than its factorization.

314301123324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50715 (or 50710 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 314301123324 its reverse (423321103413), we get a palindrome (737622226737).

The spelling of 314301123324 in words is "three hundred fourteen billion, three hundred one million, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 13997 27994 36691 41991 55988 73382 83982 110073 125973 146764 167964 220146 237949 251946 330219 440292 475898 503892 623747 660438 713847 951796 1247494 1320876 1427694 1871241 2141541 2494988 2855388 3742482 4283082 5613723 7484964 8566164 11227446 22454892 513563927 1027127854 1540691781 2054255708 3081383562 4622075343 6162767124 8730586759 9244150686 17461173518 18488301372 26191760277 34922347036 52383520554 78575280831 104767041108 157150561662 314301123324