Search a number
-
+
314004440442 = 237113121217771
BaseRepresentation
bin1001001000111000001…
…11111000010101111010
31010000111111202022110110
410210130013320111322
520121040114043232
6400130204525150
731454215463640
oct4443407702572
91100444668413
10314004440442
11111194358720
1250a335507b6
13237c2333964
14112ab053190
15827bdbcacc
hex491c1f857a

314004440442 has 64 divisors (see below), whose sum is σ = 783226579968. Its totient is φ = 81533088000.

The previous prime is 314004440417. The next prime is 314004440479. The reversal of 314004440442 is 244044400413.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1333017 + ... + 1550787.

It is an arithmetic number, because the mean of its divisors is an integer number (12237915312).

Almost surely, 2314004440442 is an apocalyptic number.

314004440442 is an abundant number, since it is smaller than the sum of its proper divisors (469222139526).

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

314004440442 is a wasteful number, since it uses less digits than its factorization.

314004440442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220915.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 314004440442 its reverse (244044400413), we get a palindrome (558048840855).

The spelling of 314004440442 in words is "three hundred fourteen billion, four million, four hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 3121 6242 9363 18726 21847 34331 43694 65541 68662 102993 131082 205986 217771 240317 435542 480634 653313 720951 1306626 1441902 1524397 2395481 3048794 4573191 4790962 7186443 9146382 14372886 16768367 33536734 50305101 100610202 679663291 1359326582 2038989873 4077979746 4757643037 7476296201 9515286074 14272929111 14952592402 22428888603 28545858222 44857777206 52334073407 104668146814 157002220221 314004440442