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314023215504 = 2438983987613
BaseRepresentation
bin1001001000111010011…
…11100000000110010000
31010000112211002012000010
410210131033200012100
520121104420344004
6400132115154520
731454534201505
oct4443517400620
91100484065003
10314023215504
111111a3a116a9
1250a398a5a40
13237c61a866b
14112ad73d4ac
15827d87aa89
hex491d3e0190

314023215504 has 80 divisors (see below), whose sum is σ = 821328681600. Its totient is φ = 103373749248.

The previous prime is 314023215487. The next prime is 314023215553. The reversal of 314023215504 is 405512320413.

It is a super-2 number, since 2×3140232155042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540402 + ... + 3628014.

It is an arithmetic number, because the mean of its divisors is an integer number (10266608520).

Almost surely, 2314023215504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314023215504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410664340800).

314023215504 is an abundant number, since it is smaller than the sum of its proper divisors (507305466096).

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

314023215504 is a wasteful number, since it uses less digits than its factorization.

314023215504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88552 (or 88546 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 314023215504 its reverse (405512320413), we get a palindrome (719535535917).

The spelling of 314023215504 in words is "three hundred fourteen billion, twenty-three million, two hundred fifteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 839 1068 1424 1678 2136 2517 3356 4272 5034 6712 10068 13424 20136 40272 74671 87613 149342 175226 224013 262839 298684 350452 448026 525678 597368 700904 896052 1051356 1194736 1401808 1792104 2102712 3584208 4205424 7797557 15595114 23392671 31190228 46785342 62380456 73507307 93570684 124760912 147014614 187141368 220521921 294029228 374282736 441043842 588058456 882087684 1176116912 1764175368 3528350736 6542150323 13084300646 19626450969 26168601292 39252901938 52337202584 78505803876 104674405168 157011607752 314023215504